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Access Angel Sensor via Bluetooth BLE on OS X
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Access AngelSensor via Bluetooth BLE\n",
"\n",
"\n",
"Documentation:\n",
"- API: http://angelsensor.com/protocols/seraphim-sense/activity-monitoring-service/\n",
"- and: https://angelsensor.github.io/angel-sdk/\n",
"- SDK: https://github.com/AngelSensor/angel-sdk\n",
"\n",
"Based on example code from below\n",
"\n",
"see: https://github.com/brettchien/PyBLEWrapper\n",
"\n",
"and OSX: https://developer.apple.com/library/mac/documentation/CoreBluetooth/Reference/CBPeripheral_Class/index.html#//apple_ref/doc/uid/TP40011289-CH1-SW6\n",
"\n",
"\n",
"Notify vs Indicate: Indicate required acknowledgement, vs Notify requires no ack"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# To Do:\n",
"\n",
"Peripheral:\n",
" - discoverDescriptorsForCharacteristic(self, characteristic)\n",
" - readValueForDescriptor(self, descriptor)\n",
" - setNotifyForCharacteristic(self, flag, characteristic)\n",
" \n",
" \n",
"Characteristic:\n",
" - characteristic.notify = True\n",
"\n",
"\n",
"\n",
"p[\"FFA0\"][\"FFA6\"].notify = True\n",
"\n",
"125\t# c.value = bytearray(chr(1))\n",
"126\t# cm.loop(duration=10)\n",
"127\t# cm.loop()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import sys\n",
"sys.dont_write_bytecode = True\n",
"\n",
"import pyble\n",
"from pyble.handlers import PeripheralHandler, ProfileHandler\n",
"#from pyble.handlers import GenericAccess , DeviceInformation, GenericAttribute \n",
"\n",
"import time\n",
"import struct\n",
"from pprint import pprint\n",
"\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"characteristic_names = {\n",
" '1811': {# Alert Notification Service\n",
" '2A47': 'Supported New Alert Category', # Read\n",
" '2A46': 'New Alert', # Notify\n",
" '2A48': 'Supported Unread Alert Category', # Read\n",
" '2A45': 'Unread Alert Status', # Notify\n",
" '2A44': 'Alert Notification Control Point', # Write\n",
" },\n",
" '1809': { # Health Thermometer\n",
" '2A1C': 'Temperature Measurement',\n",
" '2A1D': 'Temperature Type',\n",
" '2A1E': 'Intermediate Temperature',\n",
" '2A21': 'Measurement Interval'\n",
" },\n",
" '180A': { # Device Information\n",
" '2A23': 'System ID',\n",
" '2A24': 'Model Number String',\n",
" '2A25': 'Serial Number String',\n",
" '2A26': 'Firmware Revision String',\n",
" '2A27': 'Hardware Revision String',\n",
" '2A28': 'Software Revision String',\n",
" '2A29': 'Manufacturer Name String',\n",
" '2A2A': 'IEEE 11073-20601 Regulatory Certification Data List',\n",
" '2A50': 'PnP ID'\n",
" },\n",
" '180D': { # Heart Rate\n",
" '2A37': 'Heart Rate Measurement',\n",
" '2A38': 'Body Sensor Location',\n",
" '2A39': 'Heart Rate Control Point'\n",
" },\n",
" '180F': { # Battery\n",
" '2A19': 'Battery Level'\n",
" },\n",
" '41E1BD6A-9E39-441C-9312-B6E862472480': { # SrvTerminal\n",
" \"DF38F376-D3B9-11E4-B9D6-1681E6B88EC1\": \"JSON BLE Log\",\n",
" \"99A10DD8-D78F-4A57-8E95-AE584C34177E\": \"Terminal Control Point\",\n",
" },\n",
" '481D178C-10DD-11E4-B514-B2227CCE2B54': { # Waveform Signal Service\n",
" '334C0BE8-76F9-458B-BB2E-7DF2B486B4D7': 'Optical Waveform',\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision',\n",
" '4CB32AE6-0CFE-47DC-A4F6-59F52CDC2910': 'Waveform Signal Feature',\n",
" '4E92F4AB-C01B-4B5A-B328-699856A7C2EE': 'Acceleration Waveform',\n",
" 'D271ECF2-AF6E-4064-AE1E-6B8FD0BAAECC': 'Waveform Signal Control Point'\n",
" },\n",
" '552508F9-24BA-4578-82BA-F6D5987E8C41': { # Firmware Update Service\n",
" \"8122F3C0-49F2-4BCF-94F9-8FD31924BFF6\": \"Firmware Update Feature\",\n",
" \"1761D84E-542A-481D-90E8-6DB098BDBB60\": \"Firmware Update Control Point\",\n",
" \"3B8E7983-133A-4A0F-90FC-82006ED55505\": \"Protocol Revision\",\n",
" },\n",
" '68B52738-4A04-40E1-8F83-337A29C3284D': { # Activity Monitoring Service\n",
" '2A38': 'Body Sensor Location',\n",
" '2B7C8728-8AFB-4BE7-B9EB-35156A443B70': 'Activity Monitoring Feature',\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision',\n",
" '72F442A7-6ECD-4851-8858-403F0A7CAB73': 'Fall Detection',\n",
" '7A543305-6B9E-4878-AD67-29C5A9D99736': 'Step Count',\n",
" '9E3BD0D7-BDD8-41FD-AF1F-5E99679183FF': 'Acceleration Energy Magnitude',\n",
" 'D1B446FE-1313-4FCE-9AE1-D68AE2D29E60': 'Activity Monitoring Control Point'\n",
" },\n",
" '7CD50EDD-8BAB-44FF-A8E8-82E19393AF10': { # Alarm Clock Service\n",
" '2A08': 'Alarm Clock Date Time',\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision',\n",
" 'E4616B0C-22D5-11E4-A7BF-B2227CCE2B54': 'Alarm Clock Control Point'\n",
" },\n",
" '87EF07FF-4739-4527-B38F-B0E228DE6ED3': { # Health Journal Service\"\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision',\n",
" '5AE61782-4A65-4202-A4DA-DB73406E38E8': 'Health Journal Control Point',\n",
" '8B713A94-070A-4743-A695-FC58CB3F236B': 'Health Journal Entry'\n",
" },\n",
" '902DCF38-CCC0-4902-B22C-70CAB5EE5DF2': { # Blood Oxygen Saturation Service\n",
" '2A38': 'Body Sensor Location',\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision',\n",
" 'B269C33F-DF6B-4C32-801D-1B963190BC71': 'Blood Oxygen Saturation'\n",
" },\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Profile Handlers"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"serviceNames = {\n",
" '1811': 'Alert Notification Service',\n",
" \"7BA013FF-CA1E-4889-9469-7BF3315A17A7\": \"Angel Sensor 05950\",\n",
" \"180A\":\"Device Information\",\n",
" \"1809\": \"Health Thermometer\",\n",
" \"180D\": \"Heart Rate\",\n",
" \"180F\" : \"Battery\",\n",
" \"41E1BD6A-9E39-441C-9312-B6E862472480\": \"SrvTerminal\",\n",
" \"481D178C-10DD-11E4-B514-B2227CCE2B54\": \"Waveform Signal Service\",\n",
" \"552508F9-24BA-4578-82BA-F6D5987E8C41\": \"Firmware Update Service\",\n",
" \"68B52738-4A04-40E1-8F83-337A29C3284D\": \"Activity Monitoring Service\",\n",
" \"7CD50EDD-8BAB-44FF-A8E8-82E19393AF10\": \"Alarm Clock Service\",\n",
" \"87EF07FF-4739-4527-B38F-B0E228DE6ED3\": \"Health Journal Service\",\n",
" \"902DCF38-CCC0-4902-B22C-70CAB5EE5DF2\": \"Blood Oxygen Saturation Service\",\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ServicesToIgnore = []"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"SensorLocations = {\n",
" 0: 'Other',\n",
" 1: 'Chest',\n",
" 2: 'Wrist',\n",
" 3: 'Finger',\n",
" 4: 'Hand',\n",
" 5: 'Ear Lobe',\n",
" 6: 'Foot'\n",
"}\n",
"\n",
"def parseSensorLocation(val):\n",
" if val in SensorLocations:\n",
" return SensorLocations[val]\n",
" else:\n",
" return val\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Alert Notification Service"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class AlertNotificationService(ProfileHandler):\n",
" UUID = '1811'\n",
" _AUTOLOAD = True\n",
" names = {# Alert Notification Service\n",
" '2A47': 'Supported New Alert Category', # Read\n",
" '2A46': 'New Alert', # Notify\n",
" '2A48': 'Supported Unread Alert Category', # Read\n",
" '2A45': 'Unread Alert Status', # Notify\n",
" '2A44': 'Alert Notification Control Point', # Write\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' AlertNotificationService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' AlertNotificationService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify AlertNotificationService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify AlertNotificationService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Heart Rate Service"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class HeartRateService(ProfileHandler):\n",
" UUID = \"180D\"\n",
" _AUTOLOAD = True\n",
" names = {\n",
" \"2A37\": \"Heart Rate Measurement\", # NOTIFY -- Data Returned only on notification\n",
" # 8-bit flags\n",
" # bit<4> RR_Present (one or more values)\n",
" # bit<3> Energy_Present ()\n",
" # bit<2:1> ContactStatus (0/1=feature not present, 2=not detected, 3=detected)\n",
" # bit<1> HR_Units_Format (0=uint8, 1=uint16) \n",
" # \n",
" # C1/C2 -- 1/2 bytes BPM\n",
" # C3 - 2 bytes - Energy\n",
" # C4 - 2 bytes - RR Internal in 1/1024 seconds\n",
" \"2A38\": \"Body Sensor Location\", # Read Only\n",
" \"2A39\": \"Heart Rate Control Point\", # Write Only - 8-bit field\n",
" # bit<7:2> Reserved\n",
" # bit<1> Reset Energy Expended\n",
" # bit<0> Reserved\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" if cUUID == \"2A38\": # Fix this\n",
" ret = parseSensorLocation(ord(data))\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' HeartRateService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' HeartRateService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify HeartRateService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify HeartRateService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Health Thermometer Service"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class HealthThermometerService(ProfileHandler):\n",
" UUID = \"1809\"\n",
" _AUTOLOAD = True\n",
" names = { # Health Thermometer\n",
" '2A1C': 'Temperature Measurement', # Indicate\n",
" '2A1D': 'Temperature Type', # Read Only\n",
" '2A1E': 'Intermediate Temperature', # Notify\n",
" '2A21': 'Measurement Interval' # Read\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" if cUUID == \"2A38\": # Fix this\n",
" ret = parseSensorLocation(ord(data))\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' HealthThermometerService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' HealthThermometerService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify HealthThermometerService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify HealthThermometerService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Battery Service"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class BatteryService(ProfileHandler):\n",
" UUID = \"180F\"\n",
" _AUTOLOAD = True\n",
" names = {\n",
" \"2A19\": \"Battery Level\", # Read (opt notify) - 1 byte \n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID == \"2A19\":\n",
" ret = str(ord(data)) + '%'\n",
" else:\n",
" ans = []\n",
" for b in data:\n",
" ans.append(\"%02X\" % ord(b))\n",
" ret = \"0x\" + \"\".join(ans)\n",
"\n",
" if cUUID in self.names:\n",
" print ' BatteryService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' BatteryService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Device Information Service"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class DeviceInformationService(ProfileHandler):\n",
" UUID = \"180A\"\n",
" _AUTOLOAD = True\n",
" names = {\n",
" \"2A29\": \"Manufacturer Name String\", # Read - String\n",
" \"2A24\": \"Model Number String\", # Read - String\n",
" \"2A25\": \"Serial Number String\", # Read - String\n",
" \"2A27\": \"Hardware Revision String\", # Read - String\n",
" \"2A26\": \"Firmware Revision String\", # Read - String\n",
" \"2A28\": \"Software Revision String\", # Read - String\n",
" \"2A23\": \"System ID\", # Read - 64 bits\n",
" \"2A2A\": \"IEEE 11073-20601 Regulatory Certification Data List\", # Read\n",
" \"2A50\": \"PnP ID\", # Read (unique device type ID)\n",
" # Bytes<0> - Format\n",
" # Bytes<2:1> VendorID\n",
" # Bytes<4:3> ProductID\n",
" # Bytes<6:5> Product Version\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID == \"2A23\":\n",
" address = []\n",
" for b in data:\n",
" address.append(\"%02X\" % ord(b))\n",
" ret = \"-\".join(address)\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' DeviceInformation ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' DeviceInformation ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Activity Monitoring Service"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class ActivityMonitoringService(ProfileHandler):\n",
" UUID = '68B52738-4A04-40E1-8F83-337A29C3284D'\n",
" _AUTOLOAD = True\n",
" names = { # Activity Monitoring Service\n",
" '2A38': 'Body Sensor Location', # read\n",
" '2B7C8728-8AFB-4BE7-B9EB-35156A443B70': 'Activity Monitoring Feature', # Read\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision', # Read\n",
" '72F442A7-6ECD-4851-8858-403F0A7CAB73': 'Fall Detection', # Read and Indicate\n",
" '7A543305-6B9E-4878-AD67-29C5A9D99736': 'Step Count', # Read and Notify\n",
" '9E3BD0D7-BDD8-41FD-AF1F-5E99679183FF': 'Acceleration Energy Magnitude', #Read\n",
" 'D1B446FE-1313-4FCE-9AE1-D68AE2D29E60': 'Activity Monitoring Control Point' # Write\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" if cUUID == \"2A38\": # Fix this\n",
" ret = parseSensorLocation(ord(data))\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' ActivityMonitoringService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' ActivityMonitoringService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify ActivityMonitoringService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify ActivityMonitoringService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Alarm Clock Service"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class AlarmClockService(ProfileHandler):\n",
" UUID = '7CD50EDD-8BAB-44FF-A8E8-82E19393AF10'\n",
" _AUTOLOAD = True\n",
" names = { # Alarm Clock Service\n",
" '2A08': 'Alarm Clock Date Time', # Read\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision', # Read\n",
" 'E4616B0C-22D5-11E4-A7BF-B2227CCE2B54': 'Alarm Clock Control Point' # Write/Notify\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" if cUUID == \"2A38\": # Fix this\n",
" ret = parseSensorLocation(ord(data))\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' AlarmClockService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' AlarmClockService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify AlarmClockService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify AlarmClockService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Health Journal Service"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class HealthJournalService(ProfileHandler):\n",
" UUID = '87EF07FF-4739-4527-B38F-B0E228DE6ED3'\n",
" _AUTOLOAD = True\n",
" names = { # Health Journal Service\"\n",
" '3B8E7983-133A-4A0F-90FC-82006ED55505': 'Protocol Revision', # Read\n",
" '5AE61782-4A65-4202-A4DA-DB73406E38E8': 'Health Journal Control Point', # Write / Indicate\n",
" '8B713A94-070A-4743-A695-FC58CB3F236B': 'Health Journal Entry' # Notify\n",
" }\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' HealthJournalService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' HealthJournalService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" return ret\n",
" \n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" print 'notify HealthJournalService ProfileHandler -- Characteristic \"{}\" data {}'.format(self.names[cUUID], data)\n",
" else:\n",
" print 'notify HealthJournalService ProfileHandler -- cUUID: {} data {}'.format(cUUID, data)\n",
" print data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Blood Oxygen Saturation Service"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class BloodOxygenSaturationService(ProfileHandler):\n",
" UUID = \"902DCF38-CCC0-4902-B22C-70CAB5EE5DF2\"\n",
" _AUTOLOAD = True\n",
" names = {\n",
" \"B269C33F-DF6B-4C32-801D-1B963190BC71\": \"Blood Oxygen Saturation\", # Indicate (float + timestamp)\n",
" \"2A38\": \"Body Sensor Location\", # Read\n",
" \"3B8E7983-133A-4A0F-90FC-82006ED55505\": \"Protocol Revision\", # Read - 1 Byte\n",
" }\n",
"\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID.upper()\n",
" if cUUID == \"2A38\": # Fix this\n",
" ret = parseSensorLocation(ord(data))\n",
" else:\n",
" ret = str(data)\n",
" \n",
" if cUUID in self.names:\n",
" print ' BloodOxygenSaturationService ProfileHandler -- Characteristic \"{}\" returns {}'.format(self.names[cUUID], ret)\n",
" else:\n",
" print ' BloodOxygenSaturationService ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" print ' BloodOxygenSaturationService Descriptor \"{}\"'.format(characteristic.description)\n",
" return ret"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Waveform Signal Service"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def parseWaveformSignalFeature(val):\n",
" featureBits = ord(val[0])\n",
" nOptWaveLen = ord(val[1])\n",
" \n",
" # Extract individual wave lengths\n",
" s = struct.Struct('H '*nOptWaveLen)\n",
" pos = 2+nOptWaveLen*2\n",
" wavelengths = s.unpack(val[2:pos])\n",
" \n",
" accSampRate = ord(val[pos])\n",
" accScale = ord(val[pos+1])\n",
" return {'featureBits' : featureBits, 'nOptWaveLen': nOptWaveLen, 'wavelengths': wavelengths, \n",
" 'accSampRate': accSampRate, 'accScale': accScale}"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def convert24U(bytes):\n",
" \"\"\"Parses unsigned 24-bit int\"\"\"\n",
" return struct.unpack('<I', bytes + '\\0')[0]\n",
"\n",
"def convert24(bytes):\n",
" \"\"\"Parses signed 24-bit int\"\"\"\n",
" return struct.unpack('<i', bytes + ('\\0' if bytes[2] < '\\x80' else '\\xff'))[0]\n",
" \n",
"def parseWaveformData(bytes, isOptical=False):\n",
" if isOptical:\n",
" return [[convert24(bytes[i:i+3]), convert24(bytes[i+3:i+6])] for i in range(0, len(bytes), 6)]\n",
" else:\n",
" return [convert24U(bytes[i:i+3]) for i in range(0, len(bytes), 3)]"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class WaveformSignal(ProfileHandler):\n",
" UUID = \"481D178C-10DD-11E4-B514-B2227CCE2B54\"\n",
" _AUTOLOAD = True\n",
" _OpticalData = []\n",
" _AccelerometerData = []\n",
" _SignalFeature = {}\n",
" \n",
" _OpticalFlag = False\n",
" _AccelerometerFlag = False\n",
" \n",
" #334C0BE8-76F9-458B-BB2E-7DF2B486B4D7\n",
" #334C0BE8-76F9-458B-BB2E-7DF2B486B4D7\n",
" names = {\n",
" \"334C0BE8-76F9-458B-BB2E-7DF2B486B4D7\": \"Optical Waveform\", # Notify\n",
" \"4E92F4AB-C01B-4B5A-B328-699856A7C2EE\": \"Acceleration Waveform\", # Notify\n",
" \"4CB32AE6-0CFE-47DC-A4F6-59F52CDC2910\": \"Waveform Signal Feature\", # Read\n",
" \"D271ECF2-AF6E-4064-AE1E-6B8FD0BAAECC\": \"Waveform Signal Control Point\", # Write (TBD)\n",
" \"3B8E7983-133A-4A0F-90FC-82006ED55505\": \"Protocol Revision\", # Read\n",
" }\n",
"\n",
" def initialize(self):\n",
" pass\n",
" \n",
" @classmethod\n",
" def getOpticalData(cls):\n",
" return WaveformSignal._OpticalData\n",
" \n",
" @classmethod\n",
" def ResetOpticalData(cls):\n",
" WaveformSignal._OpticalData = []\n",
" WaveformSignal._OpticalFlag = False\n",
" \n",
" @classmethod\n",
" def getAccelerometerData(cls):\n",
" return WaveformSignal._AccelerometerData\n",
" \n",
" @classmethod\n",
" def ResetAccelerometerData(cls):\n",
" WaveformSignal._AccelerometerData = []\n",
" WaveformSignal._AccelerometerFlag = False\n",
"\n",
"\n",
" def on_read(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" \n",
" if cUUID in self.names:\n",
" cName = self.names[cUUID]\n",
" print ' WaveformSignal ProfileHandler -- Characteristic \"{}\" returns {}'.format(cName, data)\n",
" if cName == \"Waveform Signal Feature\":\n",
" WaveformSignal._SignalFeature = parseWaveformSignalFeature(data)\n",
" return WaveformSignal._SignalFeature\n",
" elif cName == \"Protocol Revision\":\n",
" return ord(data[0])\n",
" else:\n",
" print ' WaveformSignal ProfileHandler -- cUUID: {} returns {}'.format(cUUID, ret)\n",
" ans = []\n",
" for b in data:\n",
" ans.append(\"%02X\" % ord(b))\n",
" ret = \"0x\" + \"\".join(ans)\n",
" return ret\n",
"\n",
"\n",
" def on_notify(self, characteristic, data):\n",
" cUUID = characteristic.UUID\n",
" if cUUID in self.names:\n",
" cName = self.names[cUUID]\n",
" \n",
" if cName == \"Optical Waveform\":\n",
" if not WaveformSignal._OpticalFlag:\n",
" WaveformSignal._OpticalFlag = True\n",
" print 'notify WaveformSignal ProfileHandler -- Characteristic \"{}\" data length {}'.format(cName, len (data)) \n",
" sys.stdout.flush()\n",
" \n",
" WaveformSignal._OpticalData.extend(parseWaveformData(data, isOptical=True))\n",
" elif cName == \"Acceleration Waveform\":\n",
" if not WaveformSignal._AccelerometerFlag:\n",
" WaveformSignal._AccelerometerFlag = True\n",
" print 'notify WaveformSignal ProfileHandler -- Characteristic \"{}\" data len {}'.format(cName, len(data))\n",
" sys.stdout.flush()\n",
" \n",
" WaveformSignal._AccelerometerData.extend(parseWaveformData(data))\n",
" else:\n",
" print 'WaveformSignal -- Unexpected characteristic {} in notify'.format(cName)\n",
" sys.stdout.flush()\n",
" else:\n",
" print 'WaveformSignal -- Unexpected characteristic {} in notify'.format(cUUID)\n",
" sys.stdout.flush()\n",
"\n",
"\n",
" def handleXYZ(self, data):\n",
" x, y, z = struct.unpack(\">HHH\", data)\n",
" x = (0.0 + (x >> 4)) / 1000\n",
" y = (0.0 + (y >> 4)) / 1000\n",
" z = (0.0 + (z >> 4)) / 1000\n",
" x = 2.0 if x > 2.0 else x\n",
" x = -2.0 if x < -2.0 else x\n",
" y = 2.0 if y > 2.0 else y\n",
" y = -2.0 if y < -2.0 else y\n",
" z = 2.0 if z > 2.0 else z\n",
" z = -2.0 if z < -2.0 else z\n",
" return (x, y, z)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"#Peripheral Handler"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Services with handlers\n",
"KnownServices = [\n",
" \"180A\", \"1809\", \"180D\", \"180F\", '1811',\n",
" \"7BA013FF-CA1E-4889-9469-7BF3315A17A7\",\n",
" \"41E1BD6A-9E39-441C-9312-B6E862472480\",\n",
" \"481D178C-10DD-11E4-B514-B2227CCE2B54\",\n",
" \"552508F9-24BA-4578-82BA-F6D5987E8C41\",\n",
" \"68B52738-4A04-40E1-8F83-337A29C3284D\",\n",
" \"7CD50EDD-8BAB-44FF-A8E8-82E19393AF10\",\n",
" \"87EF07FF-4739-4527-B38F-B0E228DE6ED3\",\n",
" \"902DCF38-CCC0-4902-B22C-70CAB5EE5DF2\",\n",
" ]"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#class MyPeripheral(PeripheralHandler):\n",
"class AngelSensorPeripheral(PeripheralHandler):\n",
"\n",
" def initialize(self):\n",
" self.addProfileHandler(DeviceInformationService)\n",
" self.addProfileHandler(BatteryService)\n",
" self.addProfileHandler(WaveformSignal)\n",
" self.addProfileHandler(HeartRateService)\n",
" self.addProfileHandler(BloodOxygenSaturationService)\n",
" self.addProfileHandler(HealthThermometerService)\n",
" self.addProfileHandler(ActivityMonitoringService)\n",
" self.addProfileHandler(AlarmClockService)\n",
" self.addProfileHandler(HealthJournalService)\n",
" self.addProfileHandler(AlertNotificationService)\n",
" \n",
" # self.addProfileHandler(GenericAccess) # from pyble/generic/basic.py\n",
" # self.addProfileHandler(DeviceInformation)\n",
" # self.addProfileHandler(GenericAttribute) \n",
"\n",
" def on_connect(self):\n",
" print self.peripheral, \"connect\"\n",
"\n",
" def on_disconnect(self):\n",
" print self.peripheral, \"disconnect\"\n",
"\n",
" def on_rssi(self, value):\n",
" print self.peripheral, \" update RSSI:\", value"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Top Level Routines"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"def bleScanneer():\n",
" #Doug's Scanner\n",
" cm = pyble.CentralManager()\n",
" print 'cm.ready:', cm.ready\n",
"\n",
" if cm.ready:\n",
" count = 2\n",
" while count > 0:\n",
" count -= 1\n",
" try:\n",
" print '-'*40\n",
" target = cm.startScan()\n",
" print 'Name:', target.name\n",
" print 'UUID:', target.UUID\n",
" print 'Address:', target.address\n",
" print 'rssi:', target.rssi # Received signal strength indication\n",
" print 'state:', target.state\n",
" print 'isconnected:', target.isConnected\n",
" pprint(target)\n",
" # print 'Services:', target.services # currently causes hang\n",
" if target and 'Angel Sensor' in target.name:\n",
" break\n",
"\n",
" except Exception as e:\n",
" print e\n",
"\n",
" if target and 'Angel Sensor' in target.name:\n",
" print 'Found Angel Sensor' \n",
"\n",
" try:\n",
" target.delegate = AngelSensorPeripheral\n",
" print 'Connecting ...'\n",
" p = cm.connectPeripheral(target)\n",
" print 'Connected'\n",
" print 'state:', target.state\n",
" print 'isconnected:', target.isConnected\n",
" print 'Services:'\n",
" for service in target.services:\n",
" # print service\n",
" uuid = service.UUID.upper()\n",
"\n",
" if uuid in ServicesToIgnore:\n",
" #print 'Ignoring', uuid, serviceNames[uuid]\n",
" continue\n",
" #print type(uuid), uuid\n",
" print\n",
" if uuid in serviceNames:\n",
" print 'Service -- Name:', serviceNames[uuid], 'UUID:', uuid\n",
" else:\n",
" print 'Service -- Name: ** UNKNOWN **', 'UUID:', uuid\n",
"\n",
" if uuid in characteristic_names:\n",
" charMap = characteristic_names[uuid] \n",
" else:\n",
" charMap = {}\n",
" # Examine every characteristic\n",
" for c in service:\n",
" cUUID = c.UUID.upper()\n",
" val = c.value\n",
" if uuid not in KnownServices:\n",
" if cUUID in charMap:\n",
" print ' characteristic -- Name:', charMap[cUUID], 'cUUID:', cUUID\n",
" else:\n",
" print ' characteristic:', c\n",
" if val:\n",
" print ' Value(s):', val\n",
"\n",
" # desc = c.description\n",
" # if desc:\n",
" # print ' Descriptor \"{}\"'.format(desc)\n",
" sys.stdout.flush()\n",
"\n",
" if False:\n",
" print\n",
" print\n",
"\n",
" # Attempt to read each characteristic\n",
" for sUUID, sname in serviceNames.items():\n",
" if sUUID in characteristic_names:\n",
" print\n",
" print '-'*40\n",
" print 'Reading values for {} -- {}'.format(sname, sUUID)\n",
" for cUUID, cname in characteristic_names[sUUID].items():\n",
" print 'Reading values for {} -- {}'.format(cname, cUUID)\n",
" try:\n",
" ret = p[sUUID][cUUID].value\n",
" print ' ', type(ret), ret\n",
" except Exception:\n",
" print ' ', 'Exception during read operation'\n",
" print\n",
" sys.stdout.flush()\n",
"\n",
"\n",
" # Exanple Notifications -- WaveformSignal - Optical\n",
" #p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"334C0Be8-76F9-458B-BB2E-7DF2B486B4D7\"].notify = True \n",
"\n",
" cm.loop(duration=1)\n",
" cm.disconnectPeripheral(p)\n",
" print p\n",
" print 'Disconnected'\n",
" except Exception as e:\n",
" print e\n",
" cm.disconnectPeripheral(p)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [],
"source": [
"waveformSignalFeature = \"\"\n",
"def bleCollectWaveforms(duration=30, collectOptical=True, collectAccelerometer=True):\n",
" global waveformSignalFeature\n",
" #Doug's Scanner\n",
" cm = pyble.CentralManager()\n",
" print 'cm.ready:', cm.ready\n",
"\n",
" if cm.ready:\n",
" count = 5\n",
" while count > 0:\n",
" count -= 1\n",
" try:\n",
" print '-'*40\n",
" target = cm.startScan()\n",
" print 'Name:', target.name\n",
" print 'UUID:', target.UUID\n",
" print 'Address:', target.address\n",
" print 'rssi:', target.rssi # Received signal strength indication\n",
" print 'state:', target.state\n",
" print 'isconnected:', target.isConnected\n",
" pprint(target)\n",
" # print 'Services:', target.services # currently causes hang\n",
" if target and 'Angel Sensor' in target.name:\n",
" break\n",
"\n",
" except Exception as e:\n",
" print e\n",
"\n",
" if target and 'Angel Sensor' in target.name:\n",
" print 'Found Angel Sensor' \n",
"\n",
" #try:\n",
" if True:\n",
" target.delegate = AngelSensorPeripheral\n",
" print 'Connecting ...'\n",
" p = cm.connectPeripheral(target)\n",
" print 'Connected'\n",
" print 'state:', target.state\n",
" print 'isconnected:', target.isConnected\n",
" \n",
" # Note: Fetching WaveformSignalFeature also results in vals being cached in\n",
" # handler for use by notification code.\n",
" waveformSignalFeature = p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"]['4CB32AE6-0CFE-47DC-A4F6-59F52CDC2910'].value\n",
" print 'Waveform Signal Feature: \"{}\"'.format(waveformSignalFeature)\n",
" sys.stdout.flush()\n",
" \n",
" if collectOptical:\n",
" WaveformSignal.ResetOpticalData()\n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"334C0Be8-76F9-458B-BB2E-7DF2B486B4D7\"].notify = True\n",
" else:\n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"334C0Be8-76F9-458B-BB2E-7DF2B486B4D7\"].notify = False\n",
" \n",
" if collectAccelerometer:\n",
" WaveformSignal.ResetAccelerometerData() \n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"4E92F4AB-C01B-4B5A-B328-699856A7C2EE\"].notify = True\n",
" else:\n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"4E92F4AB-C01B-4B5A-B328-699856A7C2EE\"].notify = False\n",
" \n",
" cm.loop(duration=duration)\n",
" \n",
" # not disable notifications\n",
" if collectOptical:\n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"334C0Be8-76F9-458B-BB2E-7DF2B486B4D7\"].notify = False\n",
" \n",
" if collectAccelerometer:\n",
" p[\"481D178C-10DD-11E4-B514-B2227CCE2B54\"][\"4E92F4AB-C01B-4B5A-B328-699856A7C2EE\"].notify = False\n",
"\n",
" cm.disconnectPeripheral(p)\n",
" #print p\n",
" print 'Disconnected'\n",
" \n",
" if collectOptical:\n",
" print 'Total OpticalData', len(WaveformSignal.getOpticalData())\n",
" \n",
" if collectAccelerometer:\n",
" print 'Total AccelerometerData', len(WaveformSignal.getAccelerometerData()) \n",
" \n",
"# except Exception as e:\n",
"# print e\n",
"# cm.disconnectPeripheral(p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Analysis"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#bleScanneer()"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:pyble.osx.centralManager.OSXCentralManager:Initialize CBCentralManager\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:BLE is ready!!\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:Found Peripheral Angel Sensor 05950\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:RSSI: -88\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:UUID: 7BA013FF-CA1E-4889-9469-7BF3315A17A7\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:State: 0\n",
"INFO:pyble.osx.centralManager.OSXCentralManager:Found 1 peripherals.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"cm.ready: True\n",
"----------------------------------------\n",
"Name:"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:pyble.osx.centralManager.OSXCentralManager:Peripheral Angel Sensor 05950 (7BA013FF-CA1E-4889-9469-7BF3315A17A7) is connected\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" Angel Sensor 05950\n",
"UUID: 7ba013ff-ca1e-4889-9469-7bf3315a17a7\n",
"Address: \n",
"rssi: -88\n",
"state: 0\n",
"isconnected: False\n",
"Peripheral{Angel Sensor 05950 (7BA013FF-CA1E-4889-9469-7BF3315A17A7)}\n",
"Found Angel Sensor\n",
"Connecting ...\n",
"Peripheral{Angel Sensor 05950 (7BA013FF-CA1E-4889-9469-7BF3315A17A7)} connect\n",
"Connected\n",
"state: 2\n",
"isconnected: True\n",
" WaveformSignal ProfileHandler -- Characteristic \"Waveform Signal Feature\" returns \u0003\u0002\u0000\u0000\u0000\u0000(\u0000\n",
"Waveform Signal Feature: \"{'nOptWaveLen': 2, 'featureBits': 3, 'accScale': 0, 'accSampRate': 40, 'wavelengths': (0, 0)}\"\n",
"notify WaveformSignal ProfileHandler -- Characteristic \"Optical Waveform\" data length 18\n",
"notify WaveformSignal ProfileHandler -- Characteristic \"Acceleration Waveform\" data len 18\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:pyble.osx.centralManager.OSXCentralManager:Peripheral Angel Sensor 05950 is disconnected\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Peripheral{Angel Sensor 05950 (7BA013FF-CA1E-4889-9469-7BF3315A17A7)} disconnect\n",
"Disconnected\n",
"Total OpticalData 11931\n",
"Total AccelerometerData 12000\n",
"Total OpticalData 11931\n",
"Total AccelerometerData 12000\n"
]
}
],
"source": [
"bleCollectWaveforms(duration=120)\n",
"\n",
"#waveformSignalFeature\n",
"print 'Total OpticalData', len(WaveformSignal.getOpticalData())\n",
"print 'Total AccelerometerData', len(WaveformSignal.getAccelerometerData()) "
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(11931, 2)\n",
"11931\n"
]
},
{
"data": {
"image/png": 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PO8Tm6rwp4lZ0XhUfk+gbqbN1ZaaBcQxcj4IyuctmQpcRXTrE6YSiiYN1u6+y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\npKYD4FWUy1AlEazWHsPgYn5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"text/plain": [
"<matplotlib.figure.Figure at 0x10fa43fd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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USQskPSjp4EL5vpLmpX1nFsrHSLoild8haYdGvNEheC4tf1ZqFGY20v5UWP9S\naVG0sX4TR0S8BBwUEa8D9gQOkvRm4GRgdkTsAtyctpE0DTgKmAbMAM6SlP9yPxuYGRFTgamSZqTy\nmcCKVH4G2fDlrWBj8Ex/Zh3oeuDlfENi9xJjaUsDPqqKiBfS6gbAKOBp4FDgwlR+IZXRJw8DLouI\n1RGxCFgIHCBpa2B8RMxNx11UeE3xXFcDbx/yuxkhUs/ncnupgZhZI5xA9sPwtrQ9z3OSD86AiUPS\nepLuA5YDt0TE/cCkiMjHbVpOZfyXbYDFhZcvBratUb4klZOWjwFExBpgpaSJQ3s7I2aTtPxAqVGY\n2YiLICJ4BXilULxvWfG0owHnl4iItcDrJE0Afi7poKr9Iakpj3MkzSpszomIOQ261KcAInikQec3\ns/J9Ffg6sD9wl8TolFDamqTpwPRGXqPuiYkiYqWkn5Bl5uWStoqIZekxVD6z1hJg+8LLtiO701iS\n1qvL89dMBpZKGg1MiIin+ohhVr3xDoVEXpfz5UZex8zKl8afuylvdg98EPheiSGNiPSDek6+LWnE\nv88GalW1Rd5iStJGZBOh3AtcBxyXDjsOuCatXwccLWkDSTsCU4G5EbEMWCXpgFRZfiz0TK5SPNcR\nZJXtZTmVrL7lB2RDjZhZ5/tIWp5TahRtZKA7jq2BCyWtR5ZkLo6ImyXdC1wpaSbZkONHAkTEfElX\nAvPJZss7Pio9DI8HLgA2An4aETek8nOBiyUtAFYAR4/UmxsMiW2Av06bf5/iMrPO1/OoXWJsBM+X\nGUw7cM9xejr7ra0q3j+CuxtxPTNrHRLHkf2oBTg1glNKDGfEued442xWo2xF06MwszJcDj3z7fyh\nzEDahRNHppgkjk9LTxNr1gXS4IczgP8he5RuA3DiqBLB2REoghcGPtrMOkFqhrsCGF92LO2g6xOH\n1PMP5WBg/TJjMbNS7Q/8R9lBtIOuTxzAKoAIZkewpuxgzKw0V+G6zbo4cZiZZeYBC8oOoh10beKQ\nmCRxedo8v9RgzKwVPA+MKzuIdtC1iYNsgqaj0vrpZQZiZi3hRWDDsoNoB92cOF4qrNccG8vMuspL\nwM4S50qMkvgfif8tO6hW1M2JY9fC+tOlRWFmrSL/Mfkh4BDgQOAtEvuVF1Jr6sohR1IT3FX5djdM\nWG9m/ZPYBFjZx+7xET3TSbcVDzkycvIhRs6g93DvZta9Xupn37NNi6INdGviGA88EMG/RrCk7GDM\nrHwRvAwe4BTcAAAQW0lEQVScVlU8p4RQWl63Jo5NKDyqMjNLvkplfg6A/1tWIK2s6xKHxKbAbmXH\nYWatJ4LnIzgHmAgcGMFV+T6J9SS+KrFleRG2hq6pHJc4BpgF7JSXuVLczAYisQYYRTZi9iTg7gj2\nLzeq+jWicrwrEofExrDurF5OHGY2EImtgaXFsnb67nCrqiGQGEuNpAF8ttmxmFn7ieDP1WUSv5R4\nQxnxtIKOv+OQmAQsq7FragQLhx+ZmXU6ib6+KN8cwW1NDWaQfMcxNGOrts9JSw8zYmb1+ixZv6/q\n75PNS4ildN1wx7E72XDJAA8BHwdmA6MiWDuCIZpZF6hx9/GeCH5aSjB18B3H0MwDngR+SDYi7kPA\nK04aZjYMxZkCfyJ116i6HX3HIfFt4NPQXq0gzKx1SWwPPE7vIUpmRnBeSSH1y3ccg/fptHyh1CjM\nrGNE8FgEfyHrJPiVVPxkiSE13eiyA2iS1WUHYGadJYKngVkSuwIblR1PM3XsHYfER4ubpQViZp1u\nFdn4dwBITCkvlObo2MQBnF1Yd+Iws0bplTiAP0pcW1YwzdDJiaPIicPMGqUncUiMSWWHlhdO4w2Y\nOCRtL+kWSfdL+r2kE1L5REmzJT0s6UZJmxZec4qkBZIelHRwoXxfSfPSvjML5WMkXZHK75C0wwi8\nt+I8G7eMwPnMzGpZBXxJ4jvAzmUH0wz13HGsBj4dEbsBbwA+JmlX4GRgdkTsAtyctpE0DTgKmAbM\nAM6SlP/iPxuYGRFTgamSZqTymcCKVH4G606mMpz3tj7wNyNwPjOzWvK5fT4J/D4vlDr3SceAiSMi\nlkXEfWn9OeABYFuyW7EL02EXAoen9cOAyyJidUQsAhYCB0jaGhgfEXPTcRcVXlM819XA24fzpiTe\nA2wNHB3BmgheGc75zMz68XIf5eObGkUTDaqOQ9IUYG/gTmBSRCxPu/Jx6gG2ARYXXraYLNFUly9J\n5aTlYwARsQZYKWniYGKrks/g9YdhnMPMrB7Vdxa3puXrmh1Is9Tdj0PSOLK7gU9GxLOVp08QESGp\n4V3QJc0qbM6JiDl9HPrHtPxNQwMyM4Nrgc8BJwFbAEeT/TD+X0pomCNpOjC9kdeoK3FIWp8saVwc\nEdek4uWStoqIZekx1OOpfAmwfeHl25HdaSxJ69Xl+WsmA0sljQYmRMQ6o9dGxKy63lX2rPEuP6Iy\ns0aLYCXwrVQ5fhNU5u+QeFUETzQ3npgDzKnEoC+P9DXqaVUl4FxgfkR8p7DrOuC4tH4ccE2h/GhJ\nG0jaEZgKzI2IZcAqSQekcx4LPW2di+c6gqyyfUjSbH8AXxrqOczMBivVp06P6DV67lV9vqCN1XPH\n8SbgGOB3ku5NZacApwJXSpoJLAKOBIiI+ZKuBOYDa4DjozKS4vHABWTd838aETek8nOBiyUtAFaQ\n3eoN1bvT8sFhnMPMbDgOJKvr2KXsQBqho0bHlRhPpWnchmkgMjOzpkvzdvwaeEsEa8qLw6PjDiRP\nGjhpmFnJ/hbYA1gt9bQg7QidljhyJ5YdgJl1vT8D49L6Jv0d2G46JnGkyVVyt/Z5oJlZE0RwR2Gz\nY75robPeTDGj319aFGZm6+qo+To6KXH0tMSK4NkyAzEzS36QlpdLDGc0jJbSSYnjrWm5U6lRmJlV\nfCItdwKWSmxRZjAjpZMSx6PAcREen8rMWkMEywubY8hG/257HdOPI7WZfm8EP25iWGZm/UrfTa8A\nowAimjt+lftx9EFin7T6SKmBmJmt631kcxkBIDG2xFhGREckDuAzaelhRsyspURweQR3A99KRaeU\nGc9I6JTEsRyganAxM7NWciLwEGlcv3bWKYnjGeDrZQdhZtaX9MN2LTBV4vKy4xmOtk8cEusBXwFe\nLDsWM7MBXJKWR0mcXGokw9D2rapSp5oVwI8jeG/zIzMzq4/EKOg1Uu5GEbzU2Gu6VVUteYeau0uN\nwsxsAGlW0p2Bb6airUoMZ8g6IXFsBTwJfLXsQMzMBhLBI8AP0+YfJfYqM56h6ITE8UbgVxGsLTsQ\nM7N6RHBnYfMHfR7YojqhjiOg+b0xzcyGI//uApZEsF3jruM6jlr+AuxWdhBmZoP0vrRcUWoUQzC6\n7ACGIzXFFfCnsmMxMxuMCC6XeBGYWXYsg9XudxwTgJcieL7sQMzMhuBJaL+h1ts9cWwGPFV2EGZm\nQ/QksGV6etI22irYGjYjG27EzKwdLSOb5On8sgMZjLZuVSWxBhjlFlVm1q4Krau2jWDpyJ/fraqq\njSo7ADOzYfq3tFwitceP4HZPHABLyg7AzGwYisliE4n/ltiwtGjq0O6J4xbguLKDMDMbhs0K63sA\n/wxMLyeU+rR74tgYeKHsIMzMhuFSKtNC3JqWPysplroMmDgknSdpuaR5hbKJkmZLeljSjZI2Lew7\nRdICSQ9KOrhQvq+keWnfmYXyMZKuSOV3SNqhnsAljgEOAPfhMLP2FcE9EWwMfKdYLrFBSSENqJ47\njvOBGVVlJwOzI2IX4Oa0jaRpwFHAtPSasyTlz+/OBmZGxFRgqqT8nDOBFan8DOC0OmPPP2TfcZhZ\nJzijsP44vR9htZQBE0dE3Ao8XVV8KHBhWr8QODytHwZcFhGrI2IRsBA4QNLWwPiImJuOu6jwmuK5\nrgbeXmfsP0lLdwA0s07wWFp+DBgDfKbEWPo11DqOSRGxPK0vByal9W2AxYXjFgPb1ihfkspJy8cA\nImINsFLSxDpiWB/4ZoQTh5m1vzQn+bvIns5MAD5XbkR9G3bleGQ9CJvaizC1dX4PcFMzr2tm1kgR\n3JASCAAS75d6fpi3jKGOjrtc0lYRsSw9hno8lS8Bti8ctx3ZncaStF5dnr9mMrBU0mhgQkTUvIuQ\nNCtb22M7+O4mMH15rePMzNrcz8juPi4Bvibxb8WE0h9J02lwc966hhyRNAW4PiL2SNvfJKvQPk3S\nycCmEXFyqhz/PvB6skdQNwE7R0RIuhM4AZhLVj/x3Yi4QdLxwB4R8S+SjgYOj4ija8TQ021e4kDg\nl8CWETwxzM/AzKzlFIYiAXgkgp2Hdp4ShhyRdBlwO/AaSY9J+iBwKvBOSQ8Db0vbRMR84EpgPlnG\nPD4qmel44HvAAmBhRNyQys8FNpe0APgUqYXWADYHbnHSMLMO9k+F9Z1Ki6KGthzkUOLDwF9FtN8E\nKGZm9ZCYBtxfKFoFvCGCBwZ3Hg9ymJtMG063aGZWrwjmp5G/v5eKNgHmS4wtMSygfe84AvhVBAeW\nHJaZWcNV1Xd8Fjg7or7Oz77jAKSeodR/WWogZmbN8+7C+reA5yVeW1YwbZc4gI2A5yL4QtmBmJk1\nycNp+cdC2Xa1DmyGofbjKJNHxDWzrhLBI4AktqXSB25cWfG04x3HWJw4zKw7rUrL1UA9QzM1RDsm\nDt9xmFm3yqeROIusP1spnDjMzNpEBGtTE93l+I5jUJw4zKzbPYXvOAbFicPMut0KnDgGxYnDzLrd\nU8AeaYqJpmu7nuOpB+UfIlpr0C8zs2aR2I7KjIHr9TfkunuOV7y67ADMzEq0tLD+Uam5fTraNXFs\nVXYAZmZliWBtYfMs4FmJY5t1/bZKHBLrA69QmXHQzKxbvVi1fZHEB5px4baq44DYAng4orzWBGZm\nrUBiM7KWVQuK5amfR+E413FsCqwsOwgzs7JF8HQEC4GfF4rnNOPa7ZY4vgjsWHYQZmYtZH5aHgY8\n24wLttujqqXAXyLcqsrMDEBiA2A8sAdwC3BgBL+q7PejqnuAT5UdhJlZq4jg5QhWAEtS0cGNvma7\nJY5NqAwrbGZmSQQLgLPJWp42VLsljrfSpGd4ZmZt6H5gy0ZfpN0SB/iOw8ysL4/jxFGTm+OamdXm\nxNGHJ8sOwMysRT0FvEVieiMv0m6J49iqMVrMzKzigbS8ReJHjRp2vd0ShyvGzcz6EMEa4L60eTgw\npRHXceIwM+sgEexd2PxlI67RMolD0gxJD0paIOmkPg57rqlBmZm1t+0acdKWSBySRgH/BcwApgHv\nk7RrjUN9xwFIml52DK3Cn0WFP4sKfxbsCjzTqJO3ROIAXg8sjIhFEbEauJxswK5qvuPITC87gBYy\nvewAWsj0sgNoIdPLDqBMETxI1iz3ykacv1USx7ZU5s8FWJzKqi2pUWZmZlUiWB3BUY04d6skjrqG\n6HVTXDOz8rXEsOqS3gDMiogZafsUYG1EnFY4pvxAzcza0EgPq94qiWM08BDwdmApMBd4X0Q80O8L\nzcys6UaXHQBARKyR9HGyKRBHAec6aZiZtaaWuOMwM7P20SqV432qs2NgW5O0vaRbJN0v6feSTkjl\nEyXNlvSwpBslbVp4zSnpM3lQ0sGF8n0lzUv7zizj/YwESaMk3Svp+rTdlZ+FpE0lXSXpAUnzJR3Q\nxZ/FKelvZJ6k70sa0y2fhaTzJC2XNK9QNmLvPX2WV6TyOyTt0G9AEdGy/5E9tlpINt7K+mRjsOxa\ndlwNeJ9bAa9L6+PI6nt2Bb4JnJjKTwJOTevT0mexfvpsFlK5e5wLvD6t/xSYUfb7G+Jn8q/ApcB1\nabsrPwvgQuBDaX00MKEbP4v0fv4AjEnbVwDHdctnARwI7A3MK5SN2HsHjgfOSutHAZf3F0+r33HU\n2zGwrUXEsoi4L60/RzbC5bbAoWRfHKTl4Wn9MOCyiFgdEYvI/mEcIGlrYHxEzE3HXVR4TduQtB3w\nbuB70DO6Z9d9FpImAAdGxHmQ1QVGxEq68LMgm8BtNbBxakyzMVlDmq74LCLiVuDpquKRfO/Fc11N\n1lCpT62eOOrtGNgxJE0h+2VxJzApIpanXcuBSWl9G7LPIpd/LtXlS2jPz+sM4HPQq99ON34WOwJP\nSDpf0m8knSNpLF34WUTEU8DpwKNkCeOZiJhNF34WBSP53nu+ayNiDbBS0sS+LtzqiaOrau4ljSPL\n9p+MiF7jckV2D9nxn4ekQ4DHI+JeqD2XQLd8FmSPpvYhe4SwD/A8cHLxgG75LCTtBHyK7NHLNsA4\nSccUj+mWz6KWZr/3Vk8cS4DtC9vb0ztjdgxJ65MljYsj4ppUvFzSVmn/1mTTQsK6n8t2ZJ/LEnqP\nhrkd7TdMyxuBQyX9EbgMeJuki+nOz2IxsDgi7krbV5ElkmVd+FnsB9weESvSL+IfAn9Fd34WuZH4\nm1hceM3kdK7RwIR0l1dTqyeOu4GpkqZI2oCs0ua6kmMacZIEnAvMj4jvFHZdR1YBSFpeUyg/WtIG\nknYEpgJzI2IZsCq1vBFwbOE1bSEiPh8R20fEjsDRwC8i4li687NYBjwmaZdU9A7gfuB6uuyzAB4E\n3iBpo/Qe3gHMpzs/i9xI/E1cW+NcRwA393vlslsL1NGa4F1krYwWAqeUHU+D3uObyZ7n3wfcm/6b\nAUwEbgIeBm4ENi285vPpM3kQ+OtC+b7AvLTvu2W/t2F+Lm+l0qqqKz8LYC/gLuC3ZL+yJ3TxZ3Ei\nWeKcR1aRu363fBZkd99LgZfJ6iI+OJLvHRhDNpLuAuAOYEp/8bgDoJmZDUqrP6oyM7MW48RhZmaD\n4sRhZmaD4sRhZmaD4sRhZmaD4sRhZmaD4sRhZmaD4sRhZmaD8v8BvSn6cB2W86UAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f676710>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10fa1b310>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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R13HLxszayQmkqcxjGU/LpiuCzSZJR0bExtxF9mRO3wAsKa23mNQi2ZCXa9OL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\nAdVS1u4TTlY5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c9d2f10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"opticalData = np.array(WaveformSignal.getOpticalData())\n",
"accelerometerData = np.array(WaveformSignal.getAccelerometerData())\n",
"\n",
"if len(opticalData) > 0:\n",
" print opticalData.shape\n",
" print len(opticalData[:, 0])\n",
"\n",
"accelerometerData = accelerometerData[200:] # trim first 2 seconds\n",
"\n",
"accelerometerData = accelerometerData[0:10000] \n",
"accelerometerData -= np.mean(accelerometerData) # remove gravity\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(accelerometerData)\n",
"plt.plot([0, len(accelerometerData)], [0, 0], 'r--')\n",
"plt.show()\n",
"\n",
"\n",
"plt.title('Velocity Data')\n",
"plt.plot(np.cumsum(accelerometerData))\n",
"plt.show()\n",
"\n",
"\n",
"plt.title('Displacement Data')\n",
"plt.plot(np.cumsum(np.cumsum(accelerometerData)))\n",
"plt.show()\n",
"\n",
"\n",
"if len(opticalData) > 0:\n",
" plt.title('Optical Data')\n",
" plt.plot(opticalData[:, 0])\n",
" plt.plot(opticalData[:, 1])\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from scipy import signal\n",
"\n",
"def bandpass(samples, lowCut=None, highCut=None, order=8, fSamp=44100):\n",
" \"\"\"Perform filterint, supports both low-pass and high-pass\"\"\"\n",
" fNyquist = float(fSamp/2.0)\n",
" if highCut:\n",
" a, b = signal.butter(order, highCut/fNyquist, btype='low')\n",
" samples = signal.filtfilt(a, b, samples)\n",
" if lowCut:\n",
" a, b = signal.butter(order, lowCut/fNyquist, btype='high')\n",
" samples = signal.filtfilt(a, b, samples)\n",
" return samples\n",
"\n",
"\n",
"def lowpass(sig, rate, freq=10.0):\n",
" \"\"\"Apply low pass filter\"\"\"\n",
" a, b = signal.butter(3, float(freq)/rate, btype='low')\n",
" result = signal.filtfilt(a, b, sig)\n",
" return result"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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KMRg9oIIJaN5PXhpAjtxE9oUtOZms17SEs5um0flOfxtlbiK1qu3EHEsGkSUT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d075b50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XiUiXpW7GwlISifRY5DDpX0Cuzd1UytAbgXvFgCI8MTne1HGdq3QB7lJda4MI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\nRVwkHMdxnCIuEo7jOE4RFwnHcRynyP8Hg8AJ6fpwh0oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c73f650>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SZF5nx5JreZ5fcW05BSUrcTnxFViINmXy8+n/M1vc+zjiysEWMGelVVzTU8c/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\na4BNwDFmlvUKjgE+DGwNnGdm54+QvuM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"text/plain": [
"<matplotlib.figure.Figure at 0x10bfba4d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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HRW2rJ87LVpNDtMNVzPkV4sf8X+I4bolX/YjSz/Y1shfuVaWqgvkQKS+mRK3+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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f889910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.title('Accelerometer Data')\n",
"plt.plot(bandpass(accelerometerData, lowCut=0.5, highCut=1.25, order=8, fSamp=100))\n",
"plt.show()\n",
"\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(bandpass(accelerometerData, lowCut=1.0, highCut=2.5, order=8, fSamp=100))\n",
"plt.show()\n",
"\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(bandpass(accelerometerData, lowCut=2.5, highCut=5.0, order=8, fSamp=100))\n",
"plt.show()\n",
"\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(bandpass(accelerometerData, lowCut=5.0, highCut=10.0, order=8, fSamp=100))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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DH2A3Fuey8q73GcHWIZqMX9lxQH6NqaLA/wG3itCu9LtrjDHGGGNMxQ6wa2kQbAdSgdrh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+e+Bowg5G0XOj/8YwqVg+2BW7z3t6TfaWZDCZcRhhIm3rNmNsT74u3qFBEpsNQK9qcoYkkokWaY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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f2d6cd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.0625))\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.125))\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.25))\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.5))\n",
"plt.plot(lowpass(accelerometerData, 100, freq=1.0))\n",
"plt.plot(lowpass(accelerometerData, 100, freq=2.0))\n",
"#plt.plot(lowpass(accelerometerData, 100, freq=4.0))\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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IiIhIDZYtdzbsDnxbTXV/AvQwo1k11S8iIiIiNVC2BNI7AVOqo2J3NgIfUgUjO0VERERk\n+5EtgXR3qimQjoaTXCqKiIiIiOzgtt9A2mwAZuMxW43ZU5i1Kmdp3ZhFRERERJKyfQbSZnsRZg25\nljBzyGzgY8Kc1qX5EmhmRse0tUFEREREtmvVHkib0RioR7iVeDoKzAMeBX6F+2u4L8X9GuDfwKuY\n5Zd8iztFwLuoV1pEREREElTtgTRhoOHUNE59dxqwAni6xPO3Ad8Bt5TxPqV3iIiIiEjCsiGQTnd+\n9DXA7ZS800x4fBHwE8wOLuV9w4FDzUj7ZN0iIiIisv3ZvgJps35Ac+CNUl93XwRcAjyMWb0Sr04D\nNgK7pKUtIiIiIrJdy4ZAOp1zSP8YeAr3ojKXcH8Z+AK4aeuncZTeUT3MumLWH7Na1d0UERERkURl\nQyCdnh5pMwPOAJ5KYOnLgbMx27vE88NRIF11zOph9gzh7pKPAFMxG1jNrRIRERFJyPYTSENPIBf4\nqsIlQ4rHlcAjmNUp9so7wAAz8tLQHimPWQ7wArAJ6IJ7X+B84BnMBlVr20REREQSUK2BtBn1gWbA\nnDQUdyTw1jaDDMv2NCEv+rebn3BnATAT2CsN7ZHyXQk0AM7FfR0A7sOAk4DHMetSbS0TERERSUB1\n90h3A6bHeZxTFQLpRIWA+2LgkjhIcTOld2SaWRvgOuAc3Ddt9Zr7h8CdwGMxXUdEREQkK1V3IJ2u\n/OhawMGEIDhx7nMIAd2/441ciGUclnKbpDy/Ax7FfXoZr99F6K0+s+qaJCIiIpIcSzwTIs0Vmzn4\nNUBbd65MsbD+wCMxzzbphgBvA2Nxv9qMhsBcoJU761JqV/n15gJFSaSipLv+XsCvgX6Eu0o+uyef\nDx/Dnh2BdoSUmxygCFgMzAemuLM0xXrbAeOBnXFfUs5yBxHSb3psSf0QSUT4Th8LnAv0JUxrORp4\nHBhRbd85EclKZtQF+hB+D1sDjYD1wDJgEvClO/PSWGG42qpjUZUyM3f3tF/pru4e6XRNfbc/8HGl\n3hl25DOBYzG7xp1VwJfAgWlo17bMDsPsQ2AdsByzxzDrnJG6ym7DT4AP5tFm8S/46zu/4u5WH7Pf\nQw/z01l78dnDwHmEHv79478/A+4HZpgx04wXzPi5GV0qUfuFwH/LDaIB3D8gTFN4QSXqKJ9ZZ8wu\nxezUEoNNpaYzawm8TriT6avACcDZwBjgPmBkiVSuqmxbLaUriWQHM+qaMdiMV4GFwIPAD4CGhLsj\nG7AzcDUw3oyvzLjdjB6VrNAwOwOzkcBaYBNm4zG7GbPW6VgnqR7V3SM9HLjDnbdTLOwpYCjuj6RQ\nRkdCjvVb+axbtYH8uu5cnVK7ti7fgBsIQemVhB/5JoS7LV4GnI/7q2mrrwyrrOEpuRQ+OIARk0ez\nTy/gTWBIbTZ8so66A3Lw24DBuG9zUxszcoCuhAD7yPg3DXgM+G+FvdVmtYEZwBG4j6+wseFKw0tA\nd9w3JLGa5ZV5GvAP4H9AF6AjcBru49JSvlQfs7aEueCHANfjXlDi9VzCidktwJ+AuzLeIxRO1H4F\n/JQwJmQd4Thzi/a5GiAct3cHDiEEWDOBYTEtMBP1tSL8JuxNCLbeBZ7EfVVG6tu2/kZAK2AVsLBa\ne0zNmhJ6hhem86qkGU0Id0C+APgM+A/whjvLynlPLuEzORkYTLiqeqs77yRYaUPC1LwdgBsJKaQb\ngd0Is1WdSogPHtjueqnN8oGBhO3XinCSMgp4E/f1VduUzPRI4+7V8gc4+AzwbimXBzMceqahnKYO\nby+n0dgeTJqa1nWG6xzGO7Qu5bV9HOY5/Chz29vz9uDzX82n1aYjePML8DPB65TSlgNiW85IpEzw\no8GfAV8G/g/wHuVsgzMc3k1yu73u8PM0fQb9HRY67FbsuR/H5w7I1LYv0YYODv8X12uYw90Oe1ZJ\n3VWzfk0cznG4weFkh1pVVG97h8kONySwbBeHUQ7POuQnUw94Dnhf8AvA7wB/FvwN8BHx3/+C/xX8\nspN5/qyN5E10eDnue7kOLRx+4bDA4VqPnRkZ2iZtHQY7/NvhQ4dxDu863OLQtdr3leTWJc9hL4fD\nHHZxyKmCOjs7DHWY7nCfw60OzzgsdXjVYY8013dk3C/+6XCSw9lxH13kcGnG1hnqOfzS4UuH1XF9\nFznMj+tddfsK9Ha4x2Gqw0qHWQ7r4/57firHE3ADPwd8HviD4N0rWU5t8LPBvwV/F3yvCtaprsMn\nDg+V2X7o4zDW4dFkj0lZ+wdtHP4Uvy/vxe/P5Q6/dxgef3evrLLfCPcY8mag3Aw2eBAht+hb4Del\nrRD4evC8FD+stg5L0vaDBDmbyLlqMc0KP2GfK9JU5oAYnLYtZ5ld40H0iPR/Fn6gUfj1MAYuHE/v\nJxJob99Eg+lidbQBvwV8IfjL4NsGpvC+wymV2HYTU/4RCUHM16WuU/gBW+gwIN3bvlgdeQ43xYPK\nvQ4nxnp/F38s/uPQLIP11/ZwwjbIYQ+Huhmo49S437zkcJvDSIdJDn0ytl6h3s4OUxyuTuI9dWKQ\n8o5Do/KWjT/A+4A/Ar4YfAr4Y+DXxRPSo8F/CH5UfHzlrnz1+Dxar7uKO9aBTwN/GvyiLR0H4YTq\nM4d/pO3YFcpt6nCJw6dxX3vW4SKHQxx2czjC4S6HxR4C6tSOv5n+gwYON8Zj/HgPJwLTHGY7/MGh\nZYbq3c1hrsNvtvmhh3wPge2CGBykvg1hdw/B68GlvNbb4YP41yGR8uI+2xn8JPCrwf8JPgT8Q/Cv\nwWeCzzyIkfOn0aXgDY5cdRRDxtdiw5vgT4HfcRhv/+4T9vlvAbnL1lP7qrTup1uvX57DmfH3YW7c\nL3fdcswPx66jPXQ8TPXQIZNUW8D7gb8PPhp8n3S0O3Yk/Qx8PvjfwZuUsX7/cHi6wjZDfYfn4j7e\nMCPbeuv9oxP4GeD/B/4o+FvgH4B/Hv99E/xx8BvBzwLvBV7x73D4rf1FPMbc69C5jOV2cXjbYXSZ\ny6R9vfGMlJuhxuYScp+7ALWAscAuJVcI/JuU6wtfsKHpXodBvP7CEpou8tA7UPkzRGgZD/pHJrDs\ngfFg2jc9n4PXAf8b+JxHGHx3Ufgh2rYXuvS29PXQI3FUknXWA78kBg/vgx8LnhN/KGYl/aMD5qEn\nrdTtF+sbGH8sngb/KF7pWA6+Iv47bTCPfPM1uyw1Cu+MB79DwFsWq2eAh2B6ULr3pRg0jfTQu7Xt\nyVQ4gG7uhUnLZ1+s7DrFApGx8cD1pcOq+MN0jcPeDrkp1NEq/gBM8pI9+6FXbeFa8vcE7wF+DPil\n4LfHntt/gd8LfjP4xfFzaZFE3d089KD9shLtzo3f749L++GK+9ZPwT+L+/M14BUHMuHzHONwdezB\n3gX8vPijND/2ZN23C1+fvomcT+Nnn1qQEgLo2+Pn/IyHE6ayv2vQzuEthze9ghOJavsLJ3yTHZ5y\n6B5//BuCd72Bm0//ml2GrKPOqhc46bXGLPsD+D3xBOd/4O+U+Psf+L8JVxEuAT8UvD34tts9XDWY\n7hVdIQw9bm/Fv8YprGdjDyeCZ5azTI6HoH6ew+GlLQPeBfyyuK7z499r4HfF79xx4AeC9wHv8gn7\nnLeJnCWj6H8ReG/wA+L382zCSeI/wd/owaTpo+hf+BynLKnDusfi9utd6rZLbr3zHS6L23qkJ3IF\nC37o8LmHE8VtTzq23SaNwe8mdPD8HLzyx7my62gWt9Uc8ONKtPeUeFxP7DsWjkkPeOjBbprmdubH\nfeAR8NngC8BfAr81HucGgR8M3h/8IELHwHngfyBceZtOuPL8BvgVMbC2Eu1v6TAifp69Elhfc/h1\njDUOTPdns+02wDNSboYauz/wZrHH1wLXllwh8DdSrg9+6/Dn9K+DH9eMxSM99Oh85JXpLQwHvzcc\nbk/iPT+JB9WUeicJvRGjwV94lHN28dB7Uv4lqG3bsn8MLpNOPSCcrZ8J/gX4+M/ZY8R6av++kp/x\nTx2GFCu7S/xheB18VQye/wo+OP5QdANvCt4kHuS6L6Pxl//iZ3eCXwv+MOGMe1k8oLwKfvN13Pqb\nAnIXFWIXphzYfN/2Y+NB4rdeUa96+OwXeTx5iYFDW8KJwjng18eg82HwJwk9Rw+A/4VwInFaPAg2\niOV1jgHdSw47lairkcPxHnoMxjss9xBk/9VDj+ahHk4Ayt4OYf8+L+5bf/Jivdxx+w8Cv/ECHhgz\nlzZFXZk6Mx6E/wH+W/BfxB+3XxJ6PR6Mn8ty8Ing94OfCF5673noqZvpcHEKn485POihF6hubHtP\nQlC2BPyV+IOS+BURuN/DFYZttl38THeLn9eIJixd8S07LR/KoS+BV+47HzoTZsf16JTE+/I8XG5+\nz6FeJb7jBt4SvH8uBSecx8O/e51Bw75lp++W02jNShqsm0GnJW9w5JSLue/9eqx+OW7P18HfJgS4\nI+P3d1Q8VnxlFE68hj8uXEyzwsE8soRwKX4R4QrmasKJ8mfgb+7GmJdG0X/KIpovvYj7/wp+LvgJ\nhEB5YPw7lNAze0H8/j8A/h4huJoH/iL4VeD7Xcmf8z2cYP4piW14n4eT1OaV3P9edPh7gstvvrr5\nc/BcQvB7G/hXcX0ejcfdztsEOVuXc2j83u6bSL03c0PLhbT48Ev6jM5j4yOEE8uFhLS+M8CT60EN\nx8WpDq857J/ke3PisXKGh7SpbdI64775E/C54A+RzMl5Jf8InQDTCCdsjePxd6FDcj3gYZ+4O+5T\nbdLQrl7xWLqckIL2C/Du5e4fZZfVGvzk+B2aRQiu/wF+3AR67Rc/k1s92Y6Z768KH5PGz8MIcUgd\nQqdIvUwF0hkZbGhmpxJ6EH8WH59F+MJeXmwZ57Br3uWgO55Jpa6v7uNnI7vw5aXH8GlqrS5hfaPa\nDLv9zryDb/rt2y8tHNRvAX1POoO/vt+l7AEJJb3wX47YdzZ79LqMP6+uQ2Gi7xvxCKd2XEH73pfx\ntw15JP8BfXdgZ74+81JajR+as8e/hk66j8umNuO7o84i6cGMd77NHheN5syjzuL2DzqzPOm2uNFh\n7CG7j3/t45/36nvDivkdZg6l18sf0WBRwoNHWq6m1rR7cu74wd5njBpD/53ZVLsRDRaMp/nkr+gy\nYkJFZV3+KTvd/A7ntbma/9tqe7rB4l7NWdS7Eys6dGJti467LlvX5cmpj9Vfn2fr/92x5+S3utT5\nalbn6ZOLWk1ajCX+UbRcQ62Xn+bUPgvpd8OhPHTvvkwt9w2FtXJY0K/1qePy+//r88+OuK3jD5f8\npcUxDcCM2qvmUXvNUmqvWUbtVSvI3biRnIIwkK6wTm0K6+SzoUFjNjZqwcb6LSmo12rnglkrR0y8\nt9FT7XeafM2+Hd71NuNn0eS7lWVVv+dcGp40iS69FtOm03Jat1lNm+braF27kDrL6rJwYT0WzG7E\nghlNWQjQbSmt+89lr/V5rL3+h7nPPNq6/yYW7dKVVe27sbZ5NzblNyV/+QzqL5xGkxnTnh7zducf\nzF27666X8uflddlUVjvCOuUZc/fuwIK+PVnepS/rG3emwcKvaTHhC7q//RX5KzZe+Bld7nqLSx7b\nnRdS/e7X2YR98oD9tGhj49YH9L5y7YZNTdvRdOqHdH/zfVpOKn92mRKuf4/e13zI2XtcxM3TmiUw\nfebKdg26fr333sNHvHfSvS0H5tzdpf80mk4bS+f3x9JicrmDd3OK4MX/MmjgdAbccgiP3Hkgk5Np\nK0BeIfbZA5xXfyP197iI+8s8Tq1qW5+5e3VhZccOrGnZkfWN27OpbgusaNNRq8asvmn2G/Xbb1yZ\n91rLbvOGt2w3b1yThos35LGxx5ql+YcvntN80IK5nTuuXdvktXZtvr6jd7evvmzWYCU5hYVYYRE5\nmwrJKSzCCou6rl5d6/nh3x7ban1Bk7MOa//0e51qLyKnoIicwiLyl62nzuqC0pp36zD6/fJTzv6g\nE++fejpDEjreusHins2Zv1s3VnTuzppW3f8y7fU2e6+bumHgAUcP3dRq8rd0+GQGtdeWu7/mFMHQ\nxzm5zyJ6H3Iud01qydpEtj3As89y2EEz2bv3pdxZ4fcCYG3z/H0/67ffsx9+ftKTTffNub7LkYu8\n8ewvaTNI/eZlAAAgAElEQVT2Szp9MJ3cTRUepE6eQJsnXuSq/xvIv+46gG8TbWvzteR9/i9+Mach\n8w4+n6eLlvZoxuz9e7Nk5z1Y17Q79ZZMps2Yj+jx+lfkbSh1+zdaT+7rT3Jqn4XsdseBPHHbD5iY\naP2lteeBVxl49DcMWlWH5cvqsmRjDhvXe7168ws7dSoiJ6dx7TlTx3daMeqmAYxZVJ9S9520Wtus\nDp9feGreqlZ9Jky4Yf2XHdd+dOoZDE22mJwi+N/THHPQTPY/62T+NqRnOO6Wp/sS6p48kU7tV9Jo\nXR6bhtfer9EHGwftsa6geQeafzuSHq++R7PpKyq3YqVwg3l7tmVu/z7nTVp0wJ9mvNXumq5Hzn60\nZ/OP6DBqPK2/XJDMb+bPR9P1L29zyeO78fwlx5ZyTC/Iz2Vp92as6NiCNa1asL5pczY0akFB3SYU\n1apLUV4+RXl1KcrNB8sBM3AHL8IoAnc+u6S2Z2CwYaYC6VMIl8jLD6R3bTObWvPDDtKNufRLfp7G\nOX/m9LNPZug73RIPcBM28cQjaTp9Cm3GTf3b6/Q9czx9jvsRQz7tSJkByWYnTqTVoy9zxCHn8fK4\nNqxOptram7DRD3DUxJYsPvM0RiXV5iU7t2PmgYfSfvRIWn393Y3v0mPwWPr0voyX19Wq3B0k//kq\nu/9wOp13v5hXK1PG316nb5+FtBh4UsevmL97P9a07ET+8gU0nDeL+gsW0WDBcmqt3YA5OLCxQR3W\ntmjMmlbNWdOqLeuatf3T16NzWxUtW3XesXU/osmMhVjiO+7HD3L4yM7M+c0RTEhk+TqrG9W76OO6\nfU/9dl2XfkvXNswrcltcJ59VtXI2ra5tG9bWLly7Or9wzfxGBcumNytcPrElK79szcrpTVnfczH1\nzh9Dl/PHsPv4Vsz/8Sl8MLcRG7cU7sCGRnVZ17wRa5s3YV2zFqxv0oKNDZqRu2ENdVYu2XX9nNVv\nDP2y+8jONmPwKQUfFuYmt733mWWNX3vKjrunT+uZt/XadSPrGzdnY8PmmBdRe+Vi8lcsod7iJdRf\nsIR6S1eTW1Bm0NF6FbX2mUuTfgto3GMJjTsst8YF1K49tX7DopfbtS8Y1qR7fd/YuAV5G9aQv2wh\n9RYvpNGcBTSYt4ycoi2fkTl8+DCHL6nLuuN+wgdJrdCGhvks7tmZFZ262bpGra+YNWrlDRMmNfrt\noTnv/XPfTdOT2zolrG3egAV9etZa1rHXi6OH5+bnrFp5zDnrXt1YpzDhE9/NWq2m1oT7OO3XR/De\nY3uQ1KwOu82nwbDHOP62PVpPv7vLnrVY07ozeevX0HDedzSdOoNGs5dQ7PCfX4C9/AwH91hCi2N+\nwpsTkwjeSsovwN57hMPX1qLgsMG8W5gDFNbKZVnXNqzs0J41rdpTULcxdVYuIn/FEuouWUL9RUvb\nb1q0/olXN+zTexGt792Xz+48gKkbyznxP/g7mvz6I3ofOo3uk1uw8Jk+fPNKT+ZNa8r6fgtocP4Y\nup71Jf2Gd2Xq4JMYlUznA8DOS6j77HMMyCsk97gfM2xGU5KaEeDa99npVx+zz+6n9Rg1v6hTS9a2\naEtBvbDe9RfNo+GceTT5bmFp3xdzeOZ59t17Du0POp/XtvrOl+H08bR+4FUOr/A3YnWrRizbqROr\n2nVifeNW5C9f0C53+tx33hy306wmRUuO+zEj19dKrMOlyzLyP3mIE/+xN1/cNIBvEnlPca1XUeuT\nhzhueDemX3ACY7a8UFC3Fot26cqynXpSUK8xjWZ9Q+uvJlJ/0ZbZRhpsIHfEoxzu4Cf8iHcT2UaJ\nqFtAzmHTaN5xaV7DDSt23nlNQcu2DevOnNaw7ozZLddS5/BpdO6+lBbP9ebrGwYyfkHD8gPqfWfR\n6LJR9OiziJbm2OQWLLlvbyaP7JJ4R9I/n20ysOuiul2OOrzvN0Vd3/+UWusqFcT/YTi9Lh1F/18e\nxTuP787c0pY5fhItf/Epu+4/i87Tm9iy7/Ib5XpB/Sbd16yyLmtX27K6vnpmE5bNaciqwhw8v4C8\nZuvIb7aOevULqG0O6/PYNK8hq75oy8KXezF7RNfE4qnam7DHX2LvgdPp9qMTa70zvHHPeqzs0JE1\nrTpiXkT+soXUXbqI+gsXU2/JSuqsWFv8d2ErhbVyD5hSv+2LL68a8MxOzRZcsecuS31Tw4YU1GtI\nQd2GFNaqS97GNeStW0XtNauotXoVdVavovaqNeRt2Eje+o3krdtI3voCcgod3PmKtkyj3ZY6xrJn\nJgLpDF3iYD+2Tu24jhIDDgEHT60bP+QirvMMjfoEvxD8qWL1/dRhjhef9aH0drVw+M7h+BTWrUW8\n9HVuEu09NF5uOySW0SVeLumX4nbOcfifw98q8d5cDzlw+xZrZwNCGsL98ZLucvCCeNm2kJByMYqQ\ny3U+ePeYZrDUofQBHWXX3yNug6QvXRcro8EDXLDXlfz50ou576GLue+TK/jL3D9yzcbnOGXjOPqu\nXU6jggJyi1bSYMN7HDzlVJ79X7yk+AghD20kYZDPKsKAtU8IObO/Av8BeKMSdTb3kGf2vCczMBC6\nxn3vghL7hoF3BD8e/HfxcvYU8A3x8vanhNzK/xDy/e6Nl+8eIwweHUVIg1kXLyM/QxikciR4Yrl8\nIZ1kksN5lfwcGq2h7osLaTFzd74YSciBfyFeyk44zzdenjyfkF6wmDCOoK+HfPK3PYycT35wa7jE\n/2AK+9ku8bL98fGy/cHgf46f03exnYe+w4BmsZ2vOjRI6bsd/8bRt95yGo0ZxsAPjMJhcT/9kJBy\ncxB4yQF3J8Rj4T1Jf7fCLBHnOAzxMCCpKK73Yw67p7Qu4XhzW7zEnHhZ3w/22+rYTsixPYaQW/1p\nPEaNJAysPgy81ZZL5CGevsvDINLyj1NhXMEsh6NL1FcPfC/CeIEnCYMC5xLSnk5gc9pWKKO+h9l/\nhjjUT2Ad8z3MfnFbitu4jYcBn6V+jwmpBH8mpOO8BX7SmxzRMO6zT3uaB7gSxiGcG7fTI+Ctyvhu\nPRb3t5u8ZOpk2JZnecjvXeBwp4eUqUEeBrUu8DBoMJHtfKjDnIc4f2fCGJDZ4CeksL0Pj/vKYw77\nehiA29nhwrivTZtCt9u7MO1+Qjra8/HYYQ614rqf4nCFw1UeUvdOcTjYoZ+HgZ37x/X/Z6zrcw/5\n62Wnm0FHD2lQQx22Sp2Jvze94+dyLyFlbw74xvg5TQUfT0jhmxVjgPXgUzsx46OJ9Fw0mr0m9GPs\n5eADCOmcKe83IeRN3763pdyMFAp5wFTCYMPalD3YMLUp68JO9UUm1iHuDO3Al4LXLlbnqfFLVfp0\naWGE8VBPNMeu/PXrFes6JIG27kcIon8Q35vrYRT0VWnZHmFasyme7BR9IQ/30wTaX5swkKi8AVJP\nOVyZZP3/crgpQ/uHgTcH3wN8YGvmnUbI076IcBL2M8IgjlPiwaBvwkFnaHsdhyc9DIbb9sdh2+W7\nejhpuSSJdcglDLo6gJCPfFb8Ed+cv3wuISduP0IgntpJazioL3TYO8n37ebwTfw8N+cyN4sB8Rvg\na8DHEk4Crozb/MgY7JwW1+dB8DHxoP0s+I8omX8dflA/8JA7nngOYZg2cq6nOkDo+ykat8zeE/ez\nXcF/251vxoyj76aXOf7beqz+GaUN+Ensc8+JP3SXEk5GljRj8eSZdFj0Loc8QVknJuEE74l4LKhw\nsFeC65z+2SDCzA6LvLwBfN8v28bDyWciU342jPvVbYTB1IsJJx1jwV82Ch96jaNHz6L9zK5MvYKQ\nl31O3NfOAD+nEcsvnkGnKf/juGHgd4I/AT6UkF+7Dnwc33ci9Cj38w2B0qMeBqeVnaMdgvwnPAwK\nTn0aPejpYezH0WUtQxjcdlYjln80koPWf8j+47owrXM6P2dCXvKn4B+DV3xMge4OD3sYlPuKh3EF\nb3gYI/J6DDBrl/K+xjGQnezlnaCFaTjnOQws0cZvCJ0XZU8PW367mzhc7/CVw1qHeYXYs/dz0fV5\nbHwl7od/Ak98jETZdeV6CN6fjtvlaYej4jYwD51TN3s4KfmdJ3FiFH/n2xNytPsSBmJ3jMfynGJt\nyPdwUjrfwyDblHPFQ/14Ove/LeVmotDY4KOAyYTZO64rbYUobR7j5D7wCx0eydQ6xA/+fUr2nJeV\nGB9+hF/yMHgkPWfd4ex2fnlf3viDuAD86GLvu93DXI3pm3v0+16bXZN4zzCHs9JU/z4xUExsIEPo\n9VmWUBCarX/hwHWLh0F1ZU/7FGZ8metJBNHVuE4nxfVpn+D6XxL3u5+UtVw8QO8bA+Z7CFcB3gIf\nTuihuS8GjfttdWJcep2NPfTI3Jrg+tT2MGDz9DRtn4PjZ3nHluAonFRd6LBwFu1vzmHThYQeyxnx\nR3RoXMdfxaDtKMKVjoHx/2cRBtr9g9A7tDIGbg/H19rHetrGYOHvXrynOQyqGxyDhLs9kZ656v4L\nx6upHnoSyxqw2sTDnOI3VrYewqDmveIJ54U5bLpuCEd9MYVuC3sz/mnCladnwJ+tw7on3uWQKaPo\nPy2XgjsJM8GcE4PznlSm1y18R/7o4WpP5zJevyuuZ+WvzG1b7n7xe1l2ABuuQn0wh7Yv1mLD/YSO\nqZfi+lbqtymeBB5BGDA6Je6/yZUV9vNT43fqeE90GsVw34FFHnprS85Y0dThCy813vG68fu3mNBL\nvVNS7d26rHaEzoJvCB0DPwVP3+e69To18zDV4/se5hj3eOy+32HnjNS5df27eTiBWe5hGtxH47bf\nr8zvdLnbDs9EOzO7ETK9QqHXKD1zPZfZTr8c/LFS6j4gBnUvO5zrYUL7b+KHntoJwrZ1neKhZ3qb\n6WEIPaJTwAcXW/4ih2+9xOWWNLXl3HjArniUdrhcNMNLO8OvfP0fO5yU4LI3O/wzk/tHlf2F0fpf\neOiRuMJhT4dOHuYHfjgGOGkb8VwF63N1DNjKDqahtYfL1qM9HTdcSq59LTzMO35tAsve4SH1KZ3z\nQbfxMKPGav/+5hRveSkz78QenkHxJOJewjSQb8ZOgOHx/08R0hM2Xyotu+c8BJdPeTiBfzwe02Z6\nmN0joVkesuYvBHJPOUzwcJneir3Wx8NUkKlPP7htveZhpp75Dr/ycCXmUA9XO4akNaD9vs5fxfrO\n9s0dOaEz4RkPQXRap1OL5R8X6yxt/ut2sd77PHboENL6LowB4FRCiszBVHCli3BVph9h5qKp4F/G\nE5Cqnwc99Gp/7qFHey8PJ9KHxEDvL+XtS/H3+nZC2ssQ8B+X+138ft13IUxt+E48GXmEMENV5m7o\nVPo+XXX1bV13bvzNu9DD9IBfeOiZHxsfn5xITJKpQLpabxHuqSZ9m70F/A33IelpVWlV0A74Gmjj\nzoYSL9YDzgEOItzO9TnC7WPTv1HNBhFuxf03wq2N15lRi3CL7zHuXIVZLeB3wFnA4bhPSXs7Qlse\nINze/Ixy19XsbeA53B9MY91nAJfgfkgFy9Uj3I78INyTHlSTlcLtigcAPwb2BZoBc4FXgPtxL/8W\n7dnG7CrgCuBnwBtb9qVwS9kLCPvyA8BNlLzdd9W0rx0wEngY+GOp+7rZccD9wB64L85AG/KBTsAi\n3NM/oLr8unsAB8dHn+I+vkrrT5fwvTkBuI2Qavg50BboTRi/81BGjtmh7j2Aq4B9gCXAI8CDuFdq\n4HcC9e0D3AX0AuYAnYF/A9eTxttsl6jzCOAJwro9DKwGjiPcCvt+4NaS29cMI9wy+iTgCKAHMBGY\nACwAVgJ1gKbxtd2ANcDrsa7RIb6qJmZ1CMeuC4CuhJvP3Yr7U4m9nbrA6cAphGP6DOArYB7h9uz5\nfL/uuwLrgWHAEOB19+QG0m6XwrGxL3AgcDRh2uWPgfcImRALCXHZegj7isG4lOPO0ppSwwPpqcBR\nmQ6UzHgP+LN78tPHpbkhnQiB9N7AU5dxb89x7Nb0TQZdW5+1+wA/B6YBP8U96RlQkmhHPvAh8ATu\n95SxzAnAHUBf3NMyOjuWW4uwjifi/nk5y/0C+CHuJ6Wtbkk/s8OAe4ECYDTQkPDD8hlwTbUHb2Yd\ngP8R0tQu2+pkxexIwo/6cbind/pNSb8QUO9OCDKXAu/jXunZTrJa2G9bAVNwr3CWqTTU1x64HjgW\nqAt8BNyW6PfCjMaEgLE30AJoRAiAVhLujjzene8y0PLUmeWkcmJkRj5h3fsSPrOGwDpgBWHdJwKz\nq/XEoSYwawgcRpjsojvQHKhHOCkJS4S77CqQLlZAbcKZW8O0BmqlVsWlwH7unJ3JehJm1ucDDvzd\nJvKOPYgPZuRRuIYwoPMpYETGele2bkNXQjB91TZn4WatCL0+g3F/JwN1/wI4Evdjyni9DmGw64m4\nf5b2+iW9zHIJB79dCb1OH+I+o1rbVFy4unEncCrwH8KJ3AGEgP8M3JObzk9ERKpcWjpwSyu3BgfS\nPYHXcd8pfa0qqyraEM4K27tXfr7WNLanPfAFcII7n1RjQ3YlXG66i5BuUohZa+BV4G3cb8hQvXUI\nl9IG4z6ylNcvJgTRR2akftkxmfUiXI7dnO71BO7J36RIRESqnALpbQs4lnCpdVD6WlVedbwJPOHO\nk1VRXzntyAHeBt5z55bqbAsAZp0JududCPlt+xHy4m7MWB5gqPdMwqXE/rhvKPZ8M8JJz5G4j81Y\n/SIiIlJjKJDetoArgG4Uu1tiJplxOnChO4dVRX3ltONqwsCZAe4J3FK2KoTcw90I84Z/jvusKqrz\nBcJgu8vD0Fkz4HlgNu6/zHgbREREpEZQIL1tAfcBk3H/W/paVV515AOzgf7uzKiKOktpw56EWTr2\nqa42ZBWzpsA7wDjgacLsD60IM5ZsKO+tIiIisuPIVCCdk+4Cq9DOhClOqkScbuZpYHBV1VmcGfUJ\ngwl/qSA6CtOBHQLMB64lpJYcqSBaREREqkL19khDbqXzaM2mA0fg/m16W1ZelewJvAjs5E5hVdUb\n6/4nUD9rZg4RERERqSG21x7pJpV6V5i1oR1Uec/sGMJk8cdWZaVmnEiYtP7SqqxXRERERMpW3YF0\ni0q+rxsws6rvdhYnRL8H+FVV1RnvrPhP4CfuZH5ifRERERFJSE0NpLtThfnRJTwP7GzGbpmuKE51\n9xjwD3c+znR9IiIiIpK4mhpI70y4dWaVc6cAuA+4ogqqu4Jwu9Vbq6AuEREREUlCXjXXn0ogPSGd\nDUnSv4BvzOjmzrRMVGDGXsBvCFPdZcd80SIiIiKyhXqkK8GdpYRe6f/LRPlmNCRMtXe5proTERER\nyU41NZCuzhzpze4GjjWjRwbKvhcY6c5/M1C2iIiIiKRBzQukzfKBNlT91HdbcWc5cBdwRzrLNeNs\nYD9At7gWERERyWI1L5D+fuq7bMgbvhvY1Yyj01FYvOHLXcBp7qxJR5kiIiIikhk1MZCu1vzo4uJt\nwy8H/hZv4V1pZrQCXgIucuerdLRPRERERDKn0oG0md1pZhPNbJyZvWhmjYu9dp2ZfWtmk8zsiHKK\nqdGBNIA7bwIfEm7UUikxCH8ZeMKdF9LVNhERERHJnFR6pN8GdnX33YBvgOsAzKw3cAbQGxgE3G9m\nZdVTmUA6GwYalnQZ8EMzfpzsG82oA7wITCZDs4CIiIiISPpVOpB296HuXhQffgp0iP8/AXja3Qvc\nfQYh6N2njGIaYpbsXNZZ1SMN4M4q4BTgHjMOSfR9sSf6RWAN8LN4C3IRERERqQHSlSN9PvB6/H87\nYHax12YD7ct43zKgeZJ1ZV0gDeDOOOBM4HkzjqxoeTM6Ae8AC4EzdNMVERERkZql3N5gMxtKmGqu\npN+6+6txmeuBje7+VDlFldrTejXYy/C7KWaLgBHuPqLc1prVBVoBM8tdrpq4844ZJwIvmPEgcGsc\nkLiFGXmEE49bgL8Ad6onWkRERCR9zGwAMCDT9ZQbSLv74eW9bmbnAkcDhxZ7eg7QsdjjDvG5bdwJ\nE++EZ3F/L6HWhqnvvsuSqe9K5c6H8fbefwW+M+O/wNj4ch/gVEK6yyB3xlRTM0VERES2W7FzdsTm\nx2b2+0zUk8qsHYOAq4ET3L14r+srwJlmVtvMuhJSMUaVUcxikhtwmJVpHSW5M8edU4EfAHOBQwhn\nRUuAY90ZqCBaREREpGZLdqBfcfcCtYGhZgbwsbtf4u4TzOxZYAKwCbjE3ctKXdguA+nN3JkM/LG6\n2yEiIiIi6VfpQNrddy7ntduA2xIopjKB9NgKlxIRERERybDqvrPhYqBlEsvXqB5pEREREdl+VXcg\nPR9oncTy2XgzFhERERHZAWVDIF3a9HrbMqtH6L3OyqnvRERERGTHkg2BdNsEl90JmI57YQbbIyIi\nIiKSkOoOpOeRaI+08qNFREREJItUdyC9HKgb71hYEeVHi4iIiEjWqN5AOswvnWietHqkRURERCRr\nVHePNCSe3qFAWkRERESyRjYE0uqRFhEREZEaJxsC6XlUNHOHWQOgKTCrKhokIiIiIlKRbAikE+mR\n7gFMwb2oCtojIiIiIlKhmhRIf1MFbRERERERSUg2BNLzgHYVLNMDmFwFbRERERERSUg2BNKzgI4V\nLKMeaRERERHJKtkQSH8HdK5gGfVIi4iIiEhWyYZAehmQh1njUl81M6An6pEWERERkSxS/YF0uLvh\nd0CnMpZoBRTgvrTqGiUiIiIiUr7qD6SD8tI7eqK0DhERERHJMtkSSM+k7EC6D/B1FbZFRERERKRC\nKQfSZvZrMysys2bFnrvOzL41s0lmdkQCxZTXI90P+CrVdoqIiIiIpFNKgbSZdQQOJwTCm5/rDZwB\n9AYGAfebWUX1zAC6lvFaX+DLVNopIiIiIpJuqfZI3wVcU+K5E4Cn3b3A3WcAU4B9KihnMiEXemth\nxo4+qEdaRERERLJMpQNpMzsBmO3uJXuL2wGziz2eDbSvoLjJwM6Y5ZZ4vjOwWjN2iIiIiEi2ySvv\nRTMbCrQp5aXrgeuA4vnPVk5RXkb5N27+/5uw4kjoAkwttsjuwLjy2igiIiIiUpyZDQAGZLqecgNp\ndz+8tOfNrA8hp3lcyL6gA/C5me0LzGHrW353iM+VVv6NxQrdD+jF1oH0vsCnFayDiIiIiMgW7j4C\nGLH5sZn9PhP1VCq1w93Hu3trd+/q7l0J6Rt7uvsC4BXgTDOrbWZdgZ2BUQkUO4GQD13cfsDHlWmj\niIiIiEgmldsjnYQtqRvuPsHMniUExpuASzzcvbAiowizfQRmeUB/EgvCRURERESqlCUW42agYjN3\ndyv2RGdC0NwGd8fsQOA+3HevlgaKiIiIyHZhm7gzTbLlzoYQ7m64CdgpPj4KeL36miMiIiIiUrbs\nCaRD1/gQ4OQ4f/RpwKvV2ygRERERkdKlK0c6Xf4DPARMBzYAn1Rvc0RERERESpdtgfT7wOfAk8Dh\nVFcCt4iIiIhIBbJnsGGxF4BauG+s+laJiIiIyPYmU4MNs61HenOutIJoEREREclq2TPYUERERESk\nBlEgLSIiIiJSCQqkRUREREQqQYG0iIiIiEglKJAWEREREakEBdIiIiIiIpWgQFpEREREpBIUSIuI\niIiIVIICaRERERGRSlAgLSIiIiJSCQqkRUREREQqQYG0iIiIiEglKJAWEREREamElAJpM7vczCaa\n2Xgz+1Ox568zs2/NbJKZHZF6M2VHYWYDqrsNkn20X0hptF9IabRfSFWqdCBtZj8Ejgf6uXsf4M/x\n+d7AGUBvYBBwv5mp51sSNaC6GyBZaUB1N0Cy0oDqboBkpQHV3QDZcaQS4F4M3O7uBQDuvig+fwLw\ntLsXuPsMYAqwT0qtFBERERHJMqkE0jsDPzCzT8xshJn1j8+3A2YXW2420D6FekREREREsk5eeS+a\n2VCgTSkvXR/f29Td9zOzvYFngW5lFOVllF/q87JjM7PfV3cbJPtov5DSaL+Q0mi/kKpSbiDt7oeX\n9ZqZXQy8GJcbbWZFZtYCmAN0LLZoh/hcybKtUi0WEREREckCqaR2vAwMBDCzHkBtd18MvAKcaWa1\nzawrIQVkVMotFRERERHJIuX2SFfg38C/zewrYCNwDoC7TzCzZ4EJwCbgEndXCoeIiIiIbFdMMa6I\niIiISPKqZX5nMxsUb9byrZn9pjraIFXDzDqa2btm9nW8cc8v4vPNzGyomX1jZm+bWZNi7yn1hj5m\ntpeZfRVf+2t1rI+kl5nlmtkYM3s1PtZ+sYMzsyZm9ny82dcEM9tX+4XEz/nr+Jk+ZWZ1tF/seMzs\n32a2IGZDbH4ubftB3K/+G5//xMw6V9SmKg+kzSwX+DvhZi29gR+Z2S5V3Q6pMgXAFe6+K7AfcGn8\nvK8Fhrp7D2B4fFzWDX02D0z9B/BTd98Z2NnMBlXtqkgG/JKQBrb50pj2C/kr8Lq77wL0Ayah/WKH\nZmZd/r+9O3ixqozDOP794Zg0KhOzMWmUGVxLNEqWGIEKVsTQwkWLZJBoXZsE/Q9chOLCTamYiyJS\ndNyZtBGiMFKR1CwwmtswY0w1Y+2kp8X7Xj1eZxy4XOZw530+cODc98y5c4bzMPd3zz3v/QHvAcOS\nNgLLgLdxLkp0gnROqzqZg3eB6Tx+CDjIAuq4Iv0i8IukX3Mzl89JTVxsCZI0KelqXv8HuEn6XvER\n4GT+sZPAW3l9roY+WyJiLbBaUnPi6qeVfawLRcQA8AbwCdD85+ZcFCwi+oBXJB0HkHRf0gzORelm\nSRdleiOiB+gFJnAuiiPpEvBXy3Anc1B9rtPAjoWOqY5C+jlgvPLYDVsKka8qvAB8B6yRNJU3TQFr\n8vp8DX1ax3/Huel2h4APgf8qY85F2YaAPyLiRET8EBEfR8RKnIuiSfoT+Aj4jVRA/y3pK5wLSzqZ\ngwc1qqT7wExE9D/pl9dRSHt2Y4EiYhXp3d37ku5Vt+VvdXEuChIRbwJ3JV3h4dXoRzgXReoBhoGj\nkr5FlKgAAAHFSURBVIaBf8kf0zY5F+WJiA3AB8AgqQhaFRHvVH/GuTCoJwd1FNKtDVvW8eg7A1ti\nImI5qYg+JelsHp6KiGfz9rXA3Tw+V0OfRh4faBl/rNGPdY2twEhE3AE+A7ZHxCmci9I1gIaky/nx\nl6TCetK5KNpm4BtJ0/kq4RngZZwLSzrxutGo7LM+P1cP0Jc/EZlXHYX096Qbuwcj4inSjeBjNRyH\nLYJ8Y/8x4Iakw5VNY8BoXh8lNfhpjj/W0EfSJDCbZ/AHsKeyj3UZSQckrZM0RJo09LWkPTgXRcvn\nczxSky+AncCPwHmci5LdAl6KiKfz+dxJmqTsXBh05nXj3BzPtZs0efHJJC36ArwO/ES68Xt/Hcfg\nZdHO9TbSPbBXgSt5eQ3oBy4Ct4ELwDOVfQ7kbNwCdlXGNwHX87Yjdf9tXjqWkVeBsbzuXBS+AM8D\nl4FrpCuPfc6FF2Af6U3VddJksOXORXkL6RPMCVIjwHFgbydzAKwAvgB+Br4FBhc6JjdkMTMzMzNr\nQy0NWczMzMzMup0LaTMzMzOzNriQNjMzMzNrgwtpMzMzM7M2uJA2MzMzM2uDC2kzMzMzsza4kDYz\nMzMza8P/hDUNUDnkRV0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bfb1150>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SLHSt6Z5yHVqQXzsgJ9WZbDoL7C3oCM5gczRaqGwhdILTYnQJr+h+OuagC2yTY3IRsJTe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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f2c5c90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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MFtqXvE5e2z7HYiZVmuOXYh1Mdg488WVAfEm6yDRX0hRfbrImzpq0NADEl48t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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c487e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bl = lowpass(accelerometerData, 100, freq=0.25)\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.125)-bl)\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.25)-bl)\n",
"plt.plot(lowpass(accelerometerData, 100, freq=0.5)-bl)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(lowpass(accelerometerData, 100, freq=1.0)-bl)\n",
"plt.plot(lowpass(accelerometerData, 100, freq=2.0)-bl)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(lowpass(accelerometerData, 100, freq=4.0)-bl)\n",
"plt.plot(lowpass(accelerometerData, 100, freq=8.0)-bl)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(lowpass(accelerometerData, 100, freq=4.0)-bl)\n",
"plt.plot(lowpass(accelerometerData, 100, freq=8.0)-bl)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 135,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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mLGBpBNfSpO23pEnlShcDO5jxUVcfa8a3ZhxNWFQzSqpG2Urc6rY34fWzjI4D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\nY6vSDsUemz8Fnsrj+M4555xzefEkubn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"text/plain": [
"<matplotlib.figure.Figure at 0x10d16bf50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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yVpuRstPgfoRJkdSqTN0oeub5EWDZAlMZdyGsk2uYGS+S9gpH6wTPMfH7UQps\nsEC5+c4AmPEYcAPwrTKPOwCtQfa/3bnA/nlnwOKM83HAyJhq9DFmvEqYrXgVuDw29WhJsZzQIoTX\nXWp3EioQpLo0uRVwS0HllXrSCjPPewJPmzGuj22uIpSHOrScIX1I4ljg58D2ZhwXF84BYMa7ZlxL\nCGKmA+MlVix7jP1IWaLxTeAxwsmza8xgwkK81K/pJHnPMfVoQ0LlrNTGUWys06P4nj8nFFcnP+YY\nP0n4+yYV13hsA9yY4eHHpxxLywTP0TUU21ik9OA5+glwRIvOvrSL1Qm5xVlMAt4nvBFmIrEW8L/A\njrHcUK9izdKvxGP+roUvW68JTC/iSky8zPk06YKJbSkh37lO5TPPwNHAL/vaIF6mPhL4QUm1VQGQ\n+BZwMLCpGVP6GN87ZnyP0OnrttQr3rOKJ3WrA/cl3K3nPTcn9WLBmomENthz5NzPnsD1sTNgauOB\njSpY8DsIeDxnU6BGFJX3PBx40Yynmn2gWdrPj1YLnq8Fdikw2KgkeDZjFqEe4ellH3sAyRw8xzeK\nc8nYrjteXvwb8C2zj5db7OWY7xI6aG5IKObeiop+PSTJe66bbeitWk8RngIWqqrMYeyetRjhqlWf\nzHiQsCDmyKLHBSCxE/BdYDuzxtpam3EG8DtgdOxwVrUhwHNmvJ5wn5XnPUt8so1Kc6YuUwdAzIV9\nnvwnv/tSTMpGrbzhq1B6MYHlKTbfuaaovOftgZsK2G/TWi14ngbMTQFnLDEXbSg91JouyQnAahLf\nrOj4bSvOqC1AuBSU1fnAF5tt3RpP5M4AbjfjomYeG9u07wr8WGK9Zh5bkjKC5xSXJjPPNmQVZ+Nn\nUf6HW83+wAVNXBX4KXC4xAIFjgmJ5QmLoPfo7wpMD35JeP89NfGwsijiuT+BCoJniTkkDpCYRAjI\nXpCYJXFki+dgFzXzDOFvkbnaT+xmuyrFBmpFNpPqTdH5zjVFzTxvhwfPHxdnCG8izDKltjIhf/DN\nAvbdr7g6fifgWImfdA/iJCSxhMRIiT0kNmmTBWdlGEooKZU5Ny7m1E+i+aY1XyZ80B6R8biPAocD\nF7bgjFDRwfMdwMYJriRV9YY5k+KL/X9MTCn4EuFqSUPi8+xq4NsFjmsO4DzgV2bc1ezj4/v7YcA2\nUqHpeY0o4rl/P2GhVGmLwyUWIuR//jdhcea8wGcIC912AO6QWLys8TQpdZm6enkXDe4DXBHzd4sy\nkIPn5DOBnev0AAAgAElEQVTPsVracOD2lPvNqqWC5+gWwuKg1KrKd54tztSMIOSBPi1xg8TVElOA\n1wkz7z8lBGynEmYQ/hArDXSyPPnO9f4EHNloMBdn2U4F9jPj/7Ie1IxLCQvofp11H6nFhYyrkOb3\n2pvHCItTls25n6qC5zI6ZfVkU0JKwcwmH/cz4LACZ5+PIeTxZ545jmkSBwOnS3w61cAySNGW+yPi\nWoephMpAhYtX5G4lzOZvYsbNcaGmmTGJcIn7BuDvMchuNYWkbUR5Fw3uC81daczgTgZ28Lxy4pzu\nLYG78nwWp9SKwfOtwOYFFBBfixCcVsqM58zYjXAG9TvgL4TW5MuasagZm5qxuxnrE87MXwOmSPx3\n3ieixKckhklsIbFaBYsVskoVPF9JKI3Ub4mgOMt2PnCyWZLnzTeBraVCrqpksQrwRJFvRHGmMVfq\nRpxtWBv4e6pxNaGSmWdCKaarmn2QGY/HxyWv7CMxCDgWODDvAlMzbiUEN99NMbZmxZPn3G25e1FE\nh7uPiekY1wC3AUfHwP0jYhA9inBF4vIEC+iSiSd48xByk4swDVhRGbqcSqwKLAp9VrlJ4QFgUYlF\nCz5OvVKCZzNeI0wILp1wt9uTrcpGIVoueDLjBcJinXUS7zr5TEMeZjxtxnVmXGnGpJ6af5jxfFyp\nvjlhsdsNWVarS2wkcSXhjepCQleyq4B/SvwsBiitbDXCG00u8UP/JOBHDcw+fxd4l0T5mTH/+VDg\njIpn3GrKuhKT99LkFoSW3FXMNpQePMfn5a5kL491EiH3OXXqwG+AUzPkOffmWMI4q+hEuAQg4B8F\n7LusihujgH8DRzVQOeF7wAeE33mrGAI8XFTVh5hucR/ZrgLsC1xSdD+IuP+7yVEFqhnxvWV5ylkw\nCGHCa40UO4pjb5l8ZygweJa0vaSZkmZJanaGIWnqRvzFV562kVVcTb8x4TLPFIk9+3tMzKHeUuJW\nQsB8E7CcGaubsbkZQ4CNgCWB6VLyVsoppVxYchFh8eFevW0QZ4e/CRyQsgapGTcQPlx/mGqfOZT1\neriDkIaQ1Q5U94b5MDC45Bm7oYRUl0wl1GLu82gy5uj3JOYnrwyckmqfcfHnJVQT0K0F3FtQ4DYB\nGFFkeUqJjYADga828v4Ut/kqcEwL1douMmWjpum853g19ssUn7JRMxFKW0y+CPBW4gozfZkGDEu0\nryHAXIT6+y2hkOBZ0hyEmrjbEz4M9pXUTPJ46rznpYH36ov4txsz3jPjBMIl3RMlzutp1iauvN6N\nMOP3B8Kio5XMOKP77LYZj5hxEGFB27UtlFIwm0KXosUgTaWFeHnzv4BTe1pII7E6oVX8PmY8neKY\n3RwJfC0ep0plBc9TgCUzXjH5BOH5fnXyUTUgznY/T5itKcvOwDU5A7sTCXXlc19RildJfgscHrt1\npvRzwmth4cT77U+Rz/3a+1Qh61TiidzvCKkaDac8xJOVXwO/KGJcGRRZaaPmLppPGduMMKPfa+3y\nxCZRXvBcVr5zTcrgeTvgphLqUzesqJnn9YFHzOwJM3uXMMPQTJWDvxPO3psqK9aHtp117s6MCYR8\nvVeAhyX+KnGsxLclziBckjkeOI3QLvfcWHO4r31eC+xOqAiR6smeyiDgqZ5y+rIy407C4sFr6j+4\nJTYmNOI40qyYHNv4gfcTQvBeSfOUuisxha8BiH+3MYQT6WatD7wc66RXpezUjZ2A6/LswIyHCbP1\nhyUYz3HApNQNBgBijeirCQsIy1TY50H8cC8ydePrhFzSSzI89lRC189S0gT6UUbwPBbYrMk44kDg\nnBKDtEnAeiV9FrRz8Nwy9Z1rigqel4KPzNo9E29rSMwPvZ8cdRq7KWpxSCXM+LcZ3yJc+rqRkMM3\niPBBvx0wwoy/NZOzZcYdhDJXl6o1mhjUrEgx7aNPILy5PiDxO4mrgSuAr5sVUxi/zh8JM1M7Fnyc\n3ixLuHxX1GKd7q4n28+6GxkWziVWVLH/j4mlDIeTZqHSiYTKMpnLI0oMIeTpH5VgPL05HTi0gAXi\nfSl6MqWQes+xdOkPCbPOTQd3sVzqzwknRFVbieLK1AGzu5xOI6wZ6ldcXLgr4cpjKcz4J/AmlJJO\nszzl5TtDeO9cNu8an3j1eVPC53XLKCp4buiFLWlU3dfIbnffBnS/LauWWiyYihn/MuMcM44y4wgz\nTjPjwaxnzWZcSHjjPyntSHMpJHiOK9GPJyxIewS4DFjRLN+sX4PHfpdQ9uuUipoYlP16uAnYqpmf\nNc7E7E5rBM9lzTxvCtxjCdoBmzGD8B6aqbtl/P3/hlBtpqEuglmYMZWQ6tBs/fVMYoC0NPBQgYcp\naub5G4Tnx+Qc+ziXMNNZWdpYfG6VMfMMIf9/pwa33QvoikULyjSJcprrlDrzHD/nHoLcz7VNgAfi\nyVBTJI2sjzNzjuMjigqen+WjOV/LwMffgM1sVN1XV7e7uwiBTQoDJm2jBEcC+0kMrXogUVEzz0BY\njGnGr80438ptoHM9IWj4RonHrCm1bGOc4Z5Fc1U3Vgc+BdxTyKAaV2bwvCVhvUcqPwOOzjjzszPh\nw/a0hOPpzf9SXgv7NQgfxMnSwHowCVg75Wx6nHX+LqHKRmZx9vl0ir2a0J9FgPcttNEu2mhgp/7S\nIuL9hxHS+cpW1qLBstM2IE3qRuYqG2bWVR9n5hzHRxQVPE8GhkhaXtLcwN40X3ppPOENKO+U//yE\nF+sjefbTKeIb2knAyVWPJSo0eK5KvDpwHHB8wtz+Rg2n/Csx1wBfaGL7rwAXtsACkTIbpWxFqHOf\nhBn3E1JAjmzmcfH5eBrwTSu2w1rNVcDwkppBFT6RYsarhMmi1RLudm9gulmShWx/Ar4QPxurUHjK\nRp37CY19+gtONwE+S2gqU7ayFg12XPBcpEKCZzN7j1DB4SZCaZG/mtmM5vbBm4RyTXkXNwwjvOkU\nWrNxgPkDsI7EmlUPhAEaPAOYcQ/hjfOQkg9dRfB8MbB3I7NxsaLAlwhNaqr2AjBH0RUhYge4wYRZ\nqJS+CxwlNdXl8WfABLNycgzNeAu4lFAirGhlXYVM3SzlUMIMfW5m/Au4mdDCuwplpWzUJinOA/bv\nZ9NvAaenLE3ahHuAtYrM+4+Vi5YBnizqGL3IFTxLLEkY96RkI0qksDrPZnaDma1sZoPN7OcZd5Mi\n79lTNpoUP8x+TSiuX5kYRA0itHkeqEYB3y2rcUoM0uan5N+pGY8QFqv0292RMAP7j1jfvFLxw7eM\n1I2RwPjUM71mPEYIuhpq9iOxObAPoc55mc4DDiih6kBZi8eTNb+QWJdQrjPlrOifgK9XVPGntOA5\nOh/YJy48+5iY/70podtv6WI3vqdJe6WiuyWBV2LaTpmmAWvm6Ga8LTC24DSrTFquw2A3XeTPe65i\nlm0g+COwg8RiFY5hKeClirrLlcKMewnNb8rK+VwLmFbRDMtFhBnl/hwKnFXwWJpRRvC8OWGyoAgn\nA6tJfc++xdf6ecAhZrxY0Fh6cxcwB9k6wjUkzuytRsYGNE26nVAzOIX/Bs5IfPX0FsJJ9FoJ99mo\nMhqkzBa7Yk4CDuhlk58Av4xVvqpS9KLBKlI2ammgLxGaLGXRciXqalo9eL6TcDkjT+m0dSiv4PmA\nEbsQXUXIPa3KgE3Z6OYnhIVdc5dwrCrLNl4E7CyxaG8bxA5oG9MaKRs1ZQTPGxHWeSQXZ5v2IlR3\n6fESarzycSVwbhkVZ7qLM/x/A75Y4GFWBp4pKUiaAcwnsXSenUgsSFgrkPRkMp48X0y4ylC2IZSX\n81zzM+C4uPByNontCe+Jvy95PN0VnfdcSfAcNd3pEWaf7G5DKMfbclo6eI4lm+4lfLA0LZYlWoFy\nZhoGoj8DB1fVzIMOCZ7NmEZY2LJvCYerrGxjzLW8lDCz3JtjgD+nKNeWUKHBc5wcWJUCK4uYMZ0w\ng3mj9NEZrngyczMhoBlV1BgacBnwxQLfb0pL4YvBaYrZ568C18XXTmqXENYhlPb+Hi/fD6bctA3M\nGE8oZHBi3ViWJXzGfaOCdIbuJhMm+opSdfCcpWfHCOBpM55NPJ4kWjp4jvLkPa8N3Ndfhz3Xqzvj\nv0V1y+pPRwTP0f8QZp/LyPmsMo3pVEJTjIW63yGxErAncErpo+pb0Y1S1iek0rxV4DEw4zJCa/pr\nJc6WOETil8B0wvvsQRWl89TcC4h0Xcm6K3v9y+002KCjJzHQ/G+KmxWdDvyHct/flwTeiFc2y3Yo\nsKvEbyUOInQyPrWI7pkZTANW7T4zntAKVLd2KOvi2R2opvpJQ9oheO4ie97z+qRfvd4x4qXUv1Ls\npdS+dFLwXHsD36aoA8RL84OguoV4ZjxEuDz/kUXEcXHon4CfV5Bv25/HgKUK/GDbiA9PVAtlxtWE\nGtoPEN4f3wI2N+OHFQfOtfebyyju/abslKW/kyN4BrYmdJ+7O81wPqru/b3M1I2yFwvOFmfvNwLe\nIbzPHmbW2ELaosV1PbMIdciLUOXC+3uBlTKk3+5I6IfQktoheL6LsFozS5vZ9WjBEidt5nKKvZTa\nl44JnuMH2SmEtIWirAE8VFLt3r78ABgphUWScYbtFEJn0jKacjQlXrl6jPDBX4TSgmeY3Zn0FDO+\nZsaPzJhZ1rEbcBmwR+qdxvev4ZS7/uU+YPEci64PBX5fcK3zSwk1n8t6f68i33k2M14w4xgz9jVr\nucBsMsUtmK1s5tmMtwlXORrO6ZZYgtBO/K6ChpVbywfP8YxsCs11J6vxmef8pgPvElJgShPfzDsm\neI4uBtaQCsuvrTplA5jdROLzhPrD4wiXLIcDu7dwPfZC8p7jicOGlBg8t7hJwLwxhSelZYF3zPhn\n4v32Kj6X7yBD2mHMx92UsMi2SA8S3t/LqulfaqWNNlNI8ByvmC0CleYON5vCtAMtWqKupuWD56jp\nvOd4tj8f3lkwlzjrcTnNdYdLYcH4b9P97NtVnBE+m5CXWoSWCJ4BzHiYkD5wIqEt7pZmvFLtqPpU\n1KLBVQj1V0sL6lpZfL+5jnBylVLZs841NxICgWZ9Azi/6IWz8fd9LaEdexkqS9toA0XNPC8PPFXx\nxMStNFbjv+YLhGpfLatdgucums97HgFMqjqPb4AYTai3WKYVgUdboD1z2c4EvpKzPGNvWiqNyYy3\nzbjRjNtbeMa5pqjgudSUjTZxHemDubWp5sTxekK9/IY/a2Mzj4MJnV7LcA2wS0nHqjRto8XdBwwp\noGFWKzQaG0foWtzv55rEfIQqNaWXzGxGIcGzpFGSnpE0NX7lDbzuAlaPpecatRnhUoHL725gRYlF\nSjzmYDrwqoEZTxKCqaSLeCQ+Rahz6902s/HguTy3Ej5o50+4z0pmnmOHx5dprgzZnsD0uLi2DOMI\nQdsSRR4kLgpegc5KxWtYzA2eQfpqMytQXZk6YHbZ4anAJg1svjPQVVFFloYVNfNswKlmNjx+5Spy\nHUs4TaaxX3yNB8+JxAVTXRRYCaIHnZbvXO8PpO84uDbwYNHl0Aawh4CVc7SZ7Y0Hz93EdS63A9sl\n3G1VM88Qrtzt1MiGca3Ht4DfFDqiOvH9/SbSp8p0tyzwwkDuGJtAEakbVZapq3cjjb0OvkhIFW1p\nRaZtpF6923Dec5yhHoovFkzpZkKf+bJ0cvB8E7CQlLTjlC+ezcGM14DXCS3jk5BYGFiC0CDHfVSy\nvOe4/uXTwBMp9pfBNTS+ZmQDYAHKL9FVRmqe5zv3r4jguRXSNgCuIFR26TXujA2bRhK6nba0IoPn\nb0qaJuksSSkuv3XReN7zRsA9PsuW1E3AtiWWNOrY4Dnm//6RtLPPHjznl7pZyobAhDbI967CaEKu\n8BwJ9jUcmFrh+ok7gPmlhmr4fgs4vYK1OmOALWNL5KJ4pY3+FTXzXGnaBoAZMwgTEOv3sdn+wFWt\nnrIBOYJnSWMkTe/haxfCZedBhI5Oz9FLx7CYG137GtnPIScAQyU+18DwNicUqHeJmPEooaHC0JIO\n2bHBc3Q24Sw9Vd7nCMJryGU3g7R5z56y0QszngaeIZxg5FVVpQ1gdqvui4Av9bWdxMqEigTnlDGu\nerHay5M0UYs3A18s2L8HgEEZ+1p8TJzsapW0DQh1xfft6Y44I30wcFaqg0kaWR9nptovkP0s08wa\nyn+V9GdCKZye9jGq8ePxlsREGluFuR3w7Ub37Rp2O6H26ANFHiSuNl6AautSVsqMFyRuAr4M/G+e\nfcWFngviH1x5pZ553ohQqs/1rFZC7Y6c+1mb6stenQeMlfhxXBjWkx8Bp1U461ZLzSuqMcUQYGxB\n+x4QzHhHYjrhhG9cgl0uBLzfQmVAzwamSHzfjDe73bcL8Ab5X++zmVkXIWsBAEk/TrXvoqpt1K/a\n3Z3QaCOF0cBufR+bJQiz3j6jk944QvBctBWAJ7zMIGcAhyRIldkQmOi/z9ySVdyQmItQgcGvBvQu\nVd5z5VddzHiQUIpsv57ulxhGWJB9epnj6uZm0i7S7G4l/AS+EZNprjpLXwbRAikbNbGaVBdhhnm2\nmC40CjipXcrTFpXzfLKk+yRNI6RQpJoFvgzYLX7w9GZH4OZW7kzTxsoKnjs9ZaOmC5ibMEOZx2Z4\nGlMKKcvVrQU8Fhciup5NIiycXSHrDiSWIiwWbIX3k5OBH8aOb7PFvO4/AceZ8UYlIwvuIHQ4TVki\nEJh9srg0LRTItbCUec+tlLJR8yPg+3FxYM0RhJKOVV8halghwbOZ7W9ma5rZMDPbzcyeT7NfniQ8\nEUb2sdnOlL9SuVPMAuaRWK7g43jwzOzuX2cCh+TclZdtTONZ4HOxiH9eGwPjE+xnwIpXSkaTr2HK\nCODuVpjNMuM2Qrm87peOfwK8SbikXZm4wH48zXWCa9QKwLOxi6rrW8rgeTAt9llqxgOEz7UrJQZL\nHAB8B/hGK7xOG9UuHQbrXQrs1dMdEgsSKnJcU+qIOkR8YtfynovUkQ1SenEusEt8bjetrmxjy3QW\nbFcxmHuI0GwmL18s2Ji83e82oLVSYw4F9pL4ocTKEr8C9gb2bpHAoaiSpKsSFty6/s0Alm6wOEJ/\nVoLSmu0044fALYSTtUOA7cza6zO/HYPnC4E9enli7QXcaMarJY+pk5SRuuEzz5EZLxJm3/bPuIsN\n8bKNKeVO3Yg57BvjwXMjxgLr5ZjtH0HokNoSzHieMMEzjNA0YlFgQzP+VenAPnQzsF0BJUmHAg8m\n3ueAFFNOpxEWuubVknnmZnxgxo/MWMyMjcyYVvWYmtV2wbMZ/yDUpPxq/e2xzMnhJCxz4nrkwXP5\n/gj8V8YPtJF4ykZKKfKelwPmoPVyEVtObOs7jgwNPOIipHVosfrmZjxlxhfNGGTGAS0UOEOopDQP\nZM8z74XPPDcnVepGSwbPA0HbBc/Rr4DvxUvSNbsQ6hCPqWZIHWM6sEwRi0pg9gfeMlTXDawVjQM+\nIOQuN2t7QoMbl8YM8per2xgY3yKX6dvBNWTLe14TeMoXZTYuPifHEip/pOTBc3NyB88SCxFO0lvp\n5GzAaMvg2YzJhBf4yTA71/k04Hj/QCpWvKQ0heKK6S8L/LOPWqgdJz6n/0iTCwclFieUKmqZy9YD\nQIqZ543wxYLNuI7QbbDZvgSb41ddshhDwuA5XhVeBQ+em5Fi5nkI8LDHRMVoy+A5OgLYWOJGQnBw\nsRk3VzymTjGBkEtYBE/Z6Nl5wI6x4UmjtgfGetnGpB4hdADrq1xmfzzfuQlmPEu4ErVxkw/dArgt\n+YAGvrHAFolao0O4kviaXwFoysPAohIL5NiHp2wUqG2D57gocANC29NDgeOrHVFHmUDf/enz8OC5\nB7FD1NV0y/Xvx07ADYUMqEPFhZdPkHH2OS50HkyF7aLbVK3bYEPiLPWm1HUXc40x4zngH6Rr1DEU\nn3VuihnvA/eS72/gwXOB2jZ4BjDjP2acZ8ZYvzRRqonAiAJWZIMHz335PXBYI7OecT3AtrRR0fk2\nMoXQPjeLDYApXu+2aVcDuzfxnjOcUFc4SY+BDpQydcPznbPJm7rhwXOB2jp4dpV5BngfCmmW4sFz\nL8yYQOjQ1WOL3252AW434+ViR9WRppC9jJQ3R8nmXuA9Gl9rsQVwa3HDGfDGAFsn2teqeJm6LDx4\nbmEePLumxVn+ovKeV8QbpPTlZ8BxDeQjfgm4pITxdKKpePBcqviecxGNnTgC7Ai+BiaH24F1JT6T\nYF+etpFN5uA5LtIcTOgK7AqQOXiWtKekByS9L2ntbvcdJ2mWpJmSiuhW5Ko3kcR5z/GSrM889+1W\n4GX6CCIkBhPedK8oa1AdZiqwVvyAaljMw10fuKuQUQ18FwN793fiKLEwIW3jllJGNQCZ8SbhCkuW\n8pizxfd0D56zeQRYoMlF4jXLAy+Z8UbaIbmaPDPP04Hd6VYKSNJQQrvRoYTV/r+X5DPcA08RM8+L\nAf8x4/XE+x0w4gzcUcAv+mjfeiRwlhn/KW9knSOmwrxEmNlpxrrA42a8lH5UA58ZDwPPAlv1s+nn\nCVVm/PmfT4q852WAtz33vHlmfADcQ7ZFg6sD96cdkauXOag1s5lm1lM+za7AxWb2rpk9QTh7Kqoy\ng6vOZMLsW56SXd35rHMDzLib0Nr3xO73SQwB9iHUPXfFyZL37Hm4+Z1N//XO98AXyqaQIu95GLRf\n6+UWkjV1Yw08eC5UETPCSxIWlNU8AyxVwHFcheLs8JOEF2kqHjw37lhgJ4kv126IJzJnAb/wmZ7C\nZQmet8TrDud1HqEG8bI93SmxBLAJcGWpoxqY7iF0k108xz6GERZ7umyyBs8+81ywPjs2SRoDPb5w\njjeza5s4To9l5CSNqvu2y8y6mtinq95Ewur3VDVrPXhukBkvS+wC3CSxGqGF97cJ+dCnVjq4zjAR\n+GGjG0vMQyhTt2dhI+oAZrwpcR4hNemoHjY5ALg85uy6HMx4T+I2wuzzBRl3sxa+9iKPyWR7P18d\n+GXisbQdSSOBkUXsu8/g2cyy5Ds9S8hzqlk63tbT/kdl2L9rHbXg+Y+J9jcYuCnRvgY8M+6XGEFo\nEHQUobrAr2OunCvW3cDaEvM02Ep+BDAzNndy+ZwM3C/xGzOerN0YK0N8i7DWxqVRS93IGjwPA36U\nbjgd53Hg0xJLxOY1/ZKYm/BZOrPQkbWBOCHbVfte0o9T7TtV2kZ94fprgH0kzS1pEKG/+sREx3Gt\nJXXFDS+t0yQznjHjUDO2NuOXZrxb9Zg6QVzFPpPG6w5vhadsJBGDiN8Bp3VrmnI0cIeZ59gmNBbY\nJktDrNioaSm81nBmcYH4ZJpbNLgS8JQvmC1WnlJ1u0t6mnApcrSkGwDM7EHgb4Si6DcAh5qZd/8b\nmKYDK0p8NtH+huA1nl37GEdoAd2InYDrCxxLpzkJWBY4QWIOiZ2Aw+k5lcNl9wjwLqHRSbPWAB40\n4720Q+o4zeY9r0n4bHYFylNt40ozW8bMPmVmi5vZDnX3nWRmg81sFTPzy/ADVGwxPJ3sDSNmk1gQ\nmAN4Me++nCvJHYTFaX2SWBJYAW+OkowZbxFK0o0klA38A7CrGU9XOa6BJs58Zq26sR4wKe2IOtJE\nYMMmtvffewm8/rLLq5b3nNcQYFZ8s3auHdwBbBybn/RlJ+AmT6lJy4znzNiMcJl6RTNvPlOQsWSr\n97wBoR+Ay+d2YMMmysJ68FwCD55dXpNIk/c8GE/ZcG0klgN8jNByuy87A81UJ3JNMOMFPzEp1C3A\nZnEhWjNG4MFzbrEp06M0MEkVT+TXIpQZdAXy4NnllWrR4BB8saBrP9cQguMeScwHbE5Y/+Fc2zHj\nReAhGs/vR2JRYMH4OJffbYQmS/1ZFXjWjNcKHk/H8+DZ5TULWEBikZz78Zln146upY/gmVDXeawZ\nr5Q0HueKcBWwWxPbjwAmetnMZBoNntfHUzZK4cGzyyW+OU4mf96zzzy7djQF+JTEmr3cvz+hK55z\n7exKYLcmStZtRlgT4NK4HRgh8al+ttuMUAXIFcyDZ5dCitQNn3l2bScucP0LcHD3+yTWIJwUesqG\na2tmzAD+TeMl07Yi5Eq7BGIaxj2E32uP4onNSLyefCk8eHYp5AqeY5m6OYF/JRuRc+U5C9hPYv5u\nt38POC2WdHSu3V0F7N7fRhILESZDPH0grWuAXfq4f3lgLvwKbik8eHYpTALWy9KFKhoMPOJl6lw7\nii2irwaOq90msQEhR/EPVY3LucQuBfaR+o0bRhI6PfpJY1rXAjv38fvfDrjVP0fL4cGzy82MZ4F3\nCGe+WXi+s2t3PwD2l9gn5j//FTjCjNcrHpdzqUwhpG70V3VjB0JjFZeQGbMIV2c362WT3QlXB1wJ\n8rTn3lPSA5Lel7R23e3LS/qPpKnx6/dphupaXJ7UjaHAjIRjca5UZjxHqLpxHHAzcIIZl1U7KufS\niTOa5wAH9rZNrDO8K2GBoUvvbOBr3W+MKWMbAjeWPqIOlWfmeTrhTOf2Hu57xMyGx69DcxzDtY88\nnQZXBR5MOBbnSmfGZDOGmbG4GWdXPR7nCnAhsGsP+f01mwFPmvFEeUPqKBcQUjcW6Hb7vsDNZrxZ\nwZg6Uubg2cxmmtnDKQfj2lqeToM+8+yccy0udtW8Bjisl00OJgR4rgCxYc1VwLdrt0nMARyOr68o\nVVE5z4NiykaXpE0KOoZrLZOBteNlu4ZJzEPIlfacZ+eca32/AI6Q+Gz9jRKLE/Kd/1LFoDrIj4HD\nJFaI3x8EvALcWt2QOk+fgY6kMcDiPdx1vJld28vD/gEsY2avxFzoqyStZmZv5Byra2FmvCrxDGEW\n+b4mHjoEeMKMt4sZmXPOuVTMmCFxI3ACcHTdXT8AzjPj1WpG1hnMeFLiR8BYiQuBQ4CtvMpGufoM\nns1sm2Z3aGbvECovYGZTJD1KCJCmdN9W0qi6b7vMrKvZ47mWMomQ99xM8DwUz3d2zrl2cgwwTWK8\nGbsK8SsAAAl2SURBVFdI7Ah8AVij4nF1BDN+J/EUsDmwtRnTqx5TK5I0klA6Mf2+zfKdrEi6DTjG\nzO6J3y8MvGJm70tagbCgcHUze7Xb48zMstYFdi1I4pvA6mYc0sRjRgFzmfH9wgbmnHMuKYl1Cfm3\nLwBLAnuYMb7aUTnXu5RxZ55SdbtLehrYABgtqdaCdnNgmqSphKLqh3QPnN2ANZHwfGiGLxZ0zrk2\nY8ZkYGXCYrWVPXB2nST3zHPmA/vM84AjMTfwErCsGa80+JiHgS+YcX+hg3POOedcx2qJmWfnuovt\nWCcAGzeyvcTngKWAmUWOyznnnHMuFQ+eXWp/J6TuNGIYcL8Z7xU4Huecc865ZDx4dqk1EzwPB6YW\nOBbnnHPOuaQ8eHapTQSGSszbwLbD6aGEoXPOOedcq/Lg2SVlxlvAPcBGDWy+Dh48O+ecc66NePDs\nijAW2K6vDSTmBwYB00oZkXPOOedcAh48uyKMBnbqZ5sNgUlmvFvCeJxzzjnnkvDg2RVhKjCvxOA+\nttkEvKi+c84559qLB88uOTMMuJ6+Z59HAuNKGZBzzjnnXCIePLuiXAfs2tMdEgsBqwO3lzoi55xz\nzrmcMgfPkn4laYakaZKukDRf3X3HSZolaaakbdMM1bWZG4FhEsv1cN92QFeszOGcc8451zbyzDzf\nDKxmZsOAh4HjACQNBfYGhgLbA7+X5DPcHSYGxn8DvtLD3bsTZqadc84559pK5qDWzMaY2Qfx2wnA\n0vH/uwIXm9m7ZvYE8Aiwfq5RunZ1DvA1iblqN8SUjW2ASysblXPOOedcRqlmhA8iLBADWBJ4pu6+\nZ4ClEh3HtREzJgKPAQfU3Xw4cKUZr1YzKuecc8657Obs605JY4DFe7jreDO7Nm7zfeAdM7uoj11Z\nL/sfVfdtl5l19Tla146OB66WGAN8khA8b1DtkJxzzjk3kEkaSajslVyfwbOZbdPX/ZK+CuwIbFV3\n87PAMnXfLx1v62n/oxoZpGtfZkyQ+BkftuE+xoxHqxyTc8455wa2OCHbVfte0o9T7VtmPU4K9/9A\naXvgFGBzM3ux7vahwEWEPOelCK2aB1u3A0kyM1PWgbv2EqtumBlPVT0W55xzznWWlHFnnuB5FjA3\n8HK86S4zOzTedzwhD/o94FtmdlMPj/fg2TnnnHPOFa4lgufcB/bg2TnnnHPOlSBl3On1l51zzjnn\nnGuQB8/OOeecc841yINn55xzzjnnGuTBs3POOeeccw3y4Nk555xzzrkGefDsnHPOOedcgzx4ds45\n55xzrkEePDvnnHPOOdcgD56dc84555xrkAfPzjnnnHPONShz8CzpV5JmSJom6QpJ88Xbl5f0H0lT\n49fv0w3XtQpJI6seg8vO/37ty/927c3/fu3L/3auJs/M883AamY2DHgYOK7uvkfMbHj8OjTXCF2r\nGln1AFwuI6segMtsZNUDcLmMrHoALrORVQ/AtYbMwbOZjTGzD+K3E4Cl0wzJOeecc8651pQq5/kg\n4Pq67wfFlI0uSZskOoZzzjnnnHOVkpn1fqc0Bli8h7uON7Nr4zbfB9Y2sz3i93MDnzGzVyStDVxF\nSO94o9u+ez+wc84555xzCZmZUuxnzn4Osk1f90v6KrAjsFXdY94B3on/nyLpUWAIMKXbvpP8AM45\n55xzzpUlT7WN7YFjgV3N7K262xeWNEf8/wqEwPmxvAN1zjnnnHOuan2mbfT5QGkWMDfwcrzpLjM7\nVNIewAnAu8AHwI/MbHSKwTrnnHPOOVelzMGzc84555xznaaSDoOStpc0U9IsSd+tYgyub5KekHRf\nrJoyMd62oKQxkh6WdLOk+eu2Py7+PWdK2ra6kXcmSWdLel7S9Lrbmv57SVpH0vR432/K/jk6US9/\nu1GSnqlrNrVD3X3+t2shkpaRdJukByTdL+mIeLu//lpcH387f/21AUmflDRB0r2SHpT083h78a89\nMyv1C5gDeARYHpgLuBdYtexx+Fe/f6fHgQW73fZL4Dvx/98FfhH/PzT+HeeKf9dHgE9U/TN00hew\nKTAcmJ7x71W7CjURWD/+/3pg+6p/toH+1cvf7sfAUT1s63+7FvsiVKRaK/7/s8BDwKr++mv9rz7+\ndv76a5Mv4NPx3zmBu4FNynjtVTHzvD6hA+ETZvYucAmwawXjcP3rXhFlF+Dc+P9zgd3i/3cFLjaz\nd83sCcITcv1SRugAMLNxwCvdbm7m7zVC0hLAvGY2MW73/+3dO2gUURjF8f8JKsQHWAjxkUBS2Ecs\nLMRXoWBp4wOUFCJCVKy10NZGsLMxoEYRgqIIiopiqxJIVExKhUQ0WogiVuJncW9wXE3cFNmZwfNr\ncvfODkxy9gvf7p3lXi6cY/Nkhuzgz/oDZ1c5EfE+Ikbz+CswDqzB9Vd5s2QHrr9aiIhvebiI9OHs\nJ1pQe2U0z2uAicLjSX69WK06AngoaVjSoTzXERFTeTwFdOTxalKO05xpNcw1r8b5tzjHMh2T9FzS\nQGHZ0dlVmKRu0irCU1x/tVLI7kmecv3VgKQ2SaOkGnscEa9oQe2V0Tz7G4r1sDEi1gE7gSOSNhUP\nRlrbmC1L51whTeRl1XIe6AF6gXfA2XIvx/5F0lLgBnA8GjYFc/1VW87uOim7r7j+aiMifkREL9AJ\nbJa0reH4vNReGc3zW6Cr8LiL3zt+q4CIeJd/fgRukm7DmJK0EiAvc3zIT2/MtDPPWbnmktdknu9s\nmHeOJYiID5EBF/h1G5SzqyBJC0mN82BE3MrTrr8aKGR3ZTo711/9RMRn4A6wnhbUXhnN8zCwVlK3\n0lbee4DbJVyHzUDSYknL8ngJsAN4ScqpLz+tj7T1Onl+r6RFknpIG+M8w8o2p7wi4j3wRdIGSQIO\nFM6xFsr/8KftItUfOLvKyX/vAWAsIs4VDrn+Km6m7Fx/9aC0Kd/yPG4HtgMjtKD2Zt2eez5ExHdJ\nR4H7pJu7ByJivNXXYbPqAG6m1xALgKsR8UDSMDAk6SDwBtgNEBFjkoaAMeA70J/fsVuLSLoGbAFW\nSJoATgFnmHte/cBFoB24GxH3Wvl7/I/+kt1pYKukXtJy42vgMDi7itoI7AdeSBrJcydw/dXB37I7\nCexz/dXCKuCSpDbSh8GDEfEoZzmvtedNUszMzMzMmlTKJilmZmZmZnXk5tnMzMzMrEluns3MzMzM\nmuTm2czMzMysSW6ezczMzMya5ObZzMzMzKxJbp7NzMzMzJr0Ey1UAX7CAYBUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f4bf190>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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7FbPIr0nWGbig1s6qnIlLVF8IPCHC6SKs4iPTnwL+A/hQh+BXYkJU2zhFVQeo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\n2QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bf9d4d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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n54qMXUciUyPrGta0q8EbsaX3W1W5HHMS/0/o9PMZ4G3YDdhvRXg7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\nRP8FTv+YUpAOOKkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c914690>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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VQtg1wmlWArejo/5atSBW2kVoI3VEsn2dCF/M01l1hKlqTfaPEumtJdWxkCwA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\nq+XyYwBnmIsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cc883d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"b1 = lowpass(accelerometerData, 100, freq=0.25)[4000:7000]\n",
"b2 = lowpass(accelerometerData, 100, freq=0.125)[4000:7000]\n",
"b3 = lowpass(accelerometerData, 100, freq=0.5)[4000:7000]\n",
"b4 = lowpass(accelerometerData, 100, freq=1.0)[4000:7000]\n",
"b5 = lowpass(accelerometerData, 100, freq=2.0)[4000:7000]\n",
"b6 = lowpass(accelerometerData, 100, freq=4.0)[4000:7000]\n",
"b7 = lowpass(accelerometerData, 100, freq=8.0)[4000:7000]\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(b3-b1)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(b4-b2)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(b5-b3)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(b6-b4)\n",
"plt.show()\n",
"\n",
"plt.figure(figsize=(12, 3))\n",
"plt.title('Accelerometer Data')\n",
"plt.plot(b7-b5)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def showPeriodogram(sig, rate, title='No Title'):\n",
"\n",
" f, Pxx_den = signal.periodogram(sig, rate, window='hamming')\n",
" plt.figure(figsize=(10, 2))\n",
" plt.title(title, fontsize=12)\n",
" #plt.loglog(f, Pxx_den, alpha=0.5)\n",
" plt.semilogy(f[1:], Pxx_den[1:])\n",
" plt.xlabel('frequency [Hz]')\n",
" plt.ylabel('PSD [V**2/Hz]')\n",
" #plt.xlim(0, 120)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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9LNruVdHvO+O2ovpnh/IjwPaI6l8T9Ztehx+Jfu8etxnKVgZ7czgGW4B9IpSv\nC/acgv3bIVk+vvdZageBvTb8/gvYWuH3U0MfBvby8L0P2OPC+kdE7T6PzrX3p7D+1rC8Ddih4feu\nYJuG3/k95PHh++Fhu43A1gZbNRn7G6Lf2yf7MHUdNpcvbM/kGjCwbcmeNbuAfTXZz/uiuo8MZXtH\nfb8c7F/JmNcL8so8WPvTmdjVUg6qEZKuAB4Wfs8lC0779n4FNTqJqi9Pyncme0u7Fjg4WfcZYKty\nQa3nouz540zqJ7pYVm+4zUk1688uKPsm2PfBPlOwbo3oWBU9kJs8yJoIxMP6DOtmPxM+p03AGEo/\n4bp99bjHMeDnxgkYQ/6pepFq+7mhz+3eX1L+gfD9n5rtP1lSPgvsGUPatx8ly0+Lfp8GPULN78L3\njjXtPjtZzh/CXy4RBqo+s8HeA6akPBbULs/HCnZ9RVsvierlZX8GuzT8Pjwq/0pJG69PyyIh7Oqo\n7Tuj3/sU7O95yfJL6RbUXhj9vhpsN7Dbw/Ip0bq3gG2StHVJ+D4U7Cfh98/ofXGIBbX4XM+Kyo+r\nEMxWBDsm/J4D9qnkmMT78b3w/SKwLyXjuD/Zp0UV5/AXYKeSCdF/6UdQq1Phy8zuC5q3GzKJkF0k\nfY7+bGKODUJZpwNpNpkh5c5kti37hOlWSfokcI6ZXdZHX4vqqwzMj5Plk+gY1wKl3l0pVrGuTUDK\n3Bg5tlV7wIzd6EyHxLY1S6Pvo5O2Hkq3h18Zg3jf7FJfpYvlaZq132m5aSF4SVV53s4ESu0Ex8Aw\nMwS0zYqRU3ZPzw23q2LIQRJQN2IJDaYSG5LaPsXXYNH483P8k5p20xifuXH51HRzmGZuwppkmUre\nn5THIUxi84aq83VaQdkGdO67cUiXsjBCRfmOv0w2HR87dsySps7xSQXtPDdZ3pHu8xpnchGZjWL+\n/IvrfYFec598+n5vOrak8+iNQfhyiomP4f4SH1WWuWS1pN5jgTxP+clkU8wp+fM4D4Z+FvRkglmF\nbmeoquvbyJwx96Y3hWUj6h6yt0vKDUwJQtuuZDeVLUu3KsHMLgDuSoq3Bq4zsxvMbBGZG/oeZDY3\nOwIvk/T/2vZF8/Acg3Bu/sMMmbEvHRf9rNgKBa3UsL9KUGsjnOQXaxznKf8j533MKli3hI6QdxeA\nGQ/UjCunSYDSMv7Ssv7yJKhNOqtRnAZqJpE6EIyTYeb97PflqUxQS23gynhDxbphJaJP7zcrpL9D\nCIVcSKr70gN9AAAgAElEQVQTLnN2TJaLjNWbnqPcRvGjSXlsB/p0APWGHSmkwP4ut+Vqco8uuh7e\nRCd7Su7J/QjaRUt4GM0F8PS8lYVWSZ0d0vPSdbwknlZim/gBsviKfw/11pA4A6ayqkDiGCBNCXDD\nJn9Z2J8+75l1f+hX0y14EISp/ck8JYbBunRHTr8ZWNfMvmBmTzezN5nZ1/podzo0akXEF27Zn6ip\nEPkxyv84r45+54bkuaAWv2WlYxCd/Jj5ujgAZxwgtelNYLfaWhlpXsY2SemhWFD7Sss2mvLbEbW7\nrOCR24fLML3x5va53SjP6bDid6XG8fGY8/vQz+k49tSlR8tJQ4Z0OsicANaluef87xvWg2xWZsPa\nWr11coP3d6YVCyi7tnaPxtAP+1GuIXpCsjwsjWrKJVTnL86FpKfQ2d/cGzON33hM+D6X4ZJ7Mved\nBakujtpCgkQraZ+o3MysNu5IQ5oIAxXMjz4L4hXToVErEjSaCGpN46cZ3QJnflP6tRknQObebcaX\nQnkeGT5WAxcJanly7Fijlm/zMTpva+kxLLoBzc7HEVEWH+vyZLmtoHYXvfFz6nIj9kuaMs3p5q31\nVZwWTILg2/b/2IZhPajTdoqeYVsPqa+cayn3WJ0u0unRNpqZ15SU59qp9YtWSlRFW8gp8tIsYpRm\nBh+sr9JzbQ/HG7MRC+iWU9rTREW+TghsW5rOY0BuoTt0wRxa/ynmkR2AeXFhPxq1tn/GIkHs9pr1\nkLkjx9MJZTfppXTvx0MAzKYinceq9M3J7CKg2OYhH4vo1qTl3/k2i62Ta/LEpI0P0cssev8EZfud\n1ouX02nQiwq2X2TG6SVtD5t+7XwmifVG2PbratZ/Z4R9LytMWozHUQpqbQPPlpFmxtlgSO1OOqmG\nqg2tE9MHftSgzu71VfgN47cHHVAhNAjzKJBPWlEpqEk6hMww8iRgzbA8bC4BNpY0V9KKZNqYFmmd\nFgCFvgb/KtngFijN1bdvSXmZajXv46yobD4dG4XCi8OMv5p1p30pIRXU0lQ0UwKeGVfTmRosmvq8\nINomFtRuIlPpL0nqY8Yisy4hcoVQnpedRqZ5Svez7E+RTl3G40xjufUIr2ZT9f+YrosYNJ5Yzigf\nWtNFvzenB+qr1L64NWljeWeUCcn7YZTXfFNbsbaMOiXSLSNuvynnjHsAJaQOE0Vcx+jOfy3BBu/1\n4+q/w2Uks36NqZv6/DCZPdN+wB1huW8knUwW3XcTSQslHWBmi8kerueSGf+damZpTsAKFlCSArFM\nULuEYm0NlBvGF93AnkjmxQrdws2DZlN2fXl5nZr1npLyVFD7Lt1arfT8LUm+8zYwm5p3TwW1jYG9\nIiGoivSt+J1mHES5Rm1burUGqWdpPM5UQ5M6ncTEb2epMPJlhsOyIKj1uw9NErnXsYRO0nSnwyej\n32N7eJUwymv+RSNse5T4C8fgzGW81/pXKVfCTCNvZySCWuBWMzuZIbxZmNk+ZraOma1kZnPM7NhQ\nfo6ZPcHMNjKzNAFyDfMp2fk0t2I0DM6j+8LJb1CzoFDT1aOZMOMqsylbszLNRV5eGq06tGV0uzaf\nEI0rtmc70oyPRMuprVuRM0FqPxYLahYEy8XJ+jLSqZqi/s6n+3jkwt3tZj3T0VPbmXEx3Zki9q4Y\nR6mgFo7lMOjnoVUlXJYxbKeFeCqo3wfvzvTaoM3to53pnD6eRpuTgagyfB43ozL4nsk0dUZwynk2\ndGVOmG76yYM8AhYwShu1mcqvS8oNsmm9tAyYbVboil738K9b3+aB+RzgXdF2+TgvM+sxxv8lmaFr\nTqpR+y3w9WSbIhu1mKpr4kw6thI7kCX5hUhgNGNe1L7R0VIWCYBlNmtbm/UIPbHgVqVRg+G8vfUj\nZBxH55g05W/J8kBGy2ZcHy8mq9t4d+W5AvPrp63Q9xuGL6h9iOwYF9HEQeeP0J3mZZq5xazvEDPX\nDHUkxTSJm+g4zjQzCc4Eo+KCkvIqoSo/HtvVtJ1qG+o0ao21PGZcYDaVl3PK69OsN6m1GVeadcX7\nSQW1pQUapqlzXqJ9KtWohSDJfwq/f55vb8YddNuYNW03f/g/K14O2rUq4umjor6GMYVT1G6dVtno\n95Wput9+SY9DLvQXBXmMeUM0jlwAanNM7zHjqy23acKf6BVsIXuBaCIUXk+vg8x00tTbu4h+BfiJ\nDpy8DFBmYuM4Q2MSnAkGZD4l3hR/Ktmg6mY5C8CsJxhfKmSkdlBDE9QS0qnPOuKH6qEUJwkX1dOb\nRdfEy6j32rkk+l2030sKfuffubag6sE+FU/OjE8V9EVNWRFltoFQfBzKxvetaH2afLwosnhMOt00\nTEGtzJnlM0XlyXbpNdJG6Mq1of1q1MoCIatkHOeUlPdgxp/7HNMwaJNlZFi01fBOB8OKwek4M4h5\njGTqc9jOBKNhPhU2akUeQVXGoWXOBF+FrqjF8QPwlpIB/JJO2pJ+H75LaBdmZEoAMuMQM84oqKOa\nNou8LU8zq41L9xo6N+CmgtrS5Lvswf4UWnkCNz7eVQ/3oofqYuDSgvJ8WtYK2qw7bi9sMKaf1rRR\nxO/p/7ozOveG/HpoI6jldfsJP3Ea8L8l68oENWgmFA4jVllZmp4mDCKE9zv2QbR4o+KO+irLJE3+\nD3ePfBTOmFjAKG3UhuZMMBrmU6JRW0rnxhjH3mkqqE0FVjXjdrOObUw8ZWjG48z4fNqQGduZsUe+\nWNFnTtnU4OHApxtsD8Venz39mLE4CbsR05fdohk3mpVON6djSp0wUoEtbfuyCq/UIkePpg/EqnrX\n0xsyZKkZTyUJ7xL1t5TefWiTkiVvI6VuemUnet3343yv6X40GUN6HfQzjfklyrUnaQ6/HFFuXyrK\nAxEXXfNXlA+tb+L/zQdablt2vaVpcur6bcMkxgNMXxS/N5ZRDIc2DkRN/kOVjmcThKfza808RiKo\nSTo7+9LDgrA2bUhaX9JRkr7dctMLw7fRuTHGHqBVbzWx/VYeWLUqZldT+p76NON8M97TsH6RF2ZK\n3Q1/GFqHIo3ae6Pfacy2KueGqrfviyg/tvdBV8y3IkrPixm30nssjgnrysJOGL0Pxjjwa5Ngvf0I\nRFdRPtUf0/TcLi2oWzeu66Lfue3iAxXCe1muv1lm/IUscXOKzEo1DlVBnqe2L9m2DXEbPyytVUzh\nNGTwQm/a7w0F646v2G5SBbX4hfmL4xrIELixRd0mz4HNot9tcyHn1Nmg1nFWfZWRZIQpsj+d6Qwl\nlWWd9uRIsiTs10v6lqT/CkFpR46ZXW9mddHPKZj6zA3RY+1GfLOKbxD5VK6RxfEqyvEVP6B2rR9P\nIYPYqLWhkUatpo1h2EilAthCM04Kv+fRG1Mp38+L6Z1yrLpG96d8vD+o2O6qpN/Dk/VFbR5kVusV\nVzT1GQskTbSV/djcLS2oE9uZ1Z3z9FjV2agVpWyJvRKLxpsK3L+HXgcZOseolaMLxf+VYQop+Ytq\nPIarqLdBjHnV8IbTRdOXkbkD9HF9fZVacu3yIuCIqPwKik0KZgJGeYqmoropP6uo39eLRQMb1DrG\nNV2+M/XZVNqYwEwC0T1oAaOyUTvdzPYm+4N/l+zBuFDSsZJe0LYzScdIuk3S5Un5zpKukXStpIPb\ntTofmBdPQcTamtRzDTp2Y9C5+bzOjKPNCqeY4j/X2XTfYJoyygjxnU7qp/xOpNrrbR7lwYBbDaV0\nhXE+nVh1BmxmNrWfrwPWTTapukaNbk1OU/KHeq75eUdBu/F3EQeVtNs0nVbd2MrauLZgfZEGLOZy\neo/TI6Lf6VTj3+kV8uJxpaEifkI999Kb67WpMJbHHstzzRZN5RYJZWlbbbQfZW3FbbYSBM1aT0HX\n9Z+uK+w26n+Q/R+GZiC/tyyie8xN/yP7VaxrE+i63yTkRQzq2TyJQaGHogXqgyY22SfVrJ80outj\nHiONo2Zm/zKzU8xsT+AFZG/C/aS0OJZMap5C0mwy1ffOZPkq95G0WcG2VcQR7+OHcKpR2yCZZsgf\n1FVTB3FQVjPjbS3HBvDSPrZ5KtVTGq0x41Vm5aGRwzTrMENblAk8ccDdqYe+GUsKnBaqrlFRbuvU\nZnzQbXNR1GfZPnSVFQjL8fGseqDmb4pVgtpOMBW6pW4sf6Mj0DyP3hyJeT8PS/pch+IpvaK0ZNmC\n8XyaPXiV/C6q13Psg2OMojiCRdu9s6a/TemE1TmO9tNteVvx+JbQ34M6Hv9/V9SLU67U/Q+q+mpr\nS1dE/gAdJHDpkeF7Mb3XS5P/cVXGmjYOCukLwyCUXetFz8eiIOyT6FjRRKPWRLi+PVmuS5vYRFAb\n11R+0QtyE4YSoqiRoCbpMZIOlHQhmZ3ND+njD2tmF9BrfLk1cJ2Z3WBmi4BTgD0krSnpq8BWdVo2\nM26LFpeEsiKNWnrQmrzhDjwVGIKQXlJbsXubSwsi+c8UujRWVAhqDdqq0fp2eSg2JR0fdB4ccdn/\n0Jkeb0LZtGWcZ3U7im3VHojqF7Zrxk+B3QrWp9f1o4FPBxsxhe+yPKuLiG5+Ztwajuk1dBu5lwpq\ngTpBrS4sTE6/QbiLtEVxf3eYZVNvZhxA9ZRTET0arfBSk+7r78nSy+WCR5oZBCJHpSoSJ6Uyj/Su\nMdGboWEp5c4ZOU2Sb+f3otsq6tQ5zuTX+CK6z7OZdcVGLKPqfpFeN6tT7qFb1E4/mvm8raLruui8\np3ZdR5oNPTNJziHAy/vctjB5dkKTe3d6PZR5c+csol5IHJegtn7N+rL7yVDGW+dM8AZJ55FJwhuT\nTfdsYGbvNbPfV23bgnWBhdHyzcC6Znanmb3RzDY2syZ/4pwlwNrht0Vl0PtAO51u482Ud1GewL0t\nXxpSO00Yt4BXp30amqAGjaZ8oduuqkhQy4mFlhPMpnTVjTRqJWX5DVMhRl+R9uCvUf3Sds24E3h4\nsr7rug5eynU3vNjTtuetL2iPz6N46rPueDd9uckdA26mc6OrslGroug6icv6fbPdNlkuEza3z3+Y\ncRUdTckzga9VtN81jRw5v6TOW2mGj++XjCl9MJQJEjG/qVkPnXtK1XEsuu9sU7C+bOpz+6isKOh1\nVd/5uc6fJQb8qqRufG3l9qlp22XbFo2p6XR0et+LhcOmhvRX1VcBMw4163JkakOTKANNAimnx6Du\nnrSI+nBG48rBXJde7ZCS8nS8j+yn87qH4LOAw4A5ZvZWM7vQzIZhbB4zYHvzkTQ/ciqwECk/foAX\nCmpmLI2n3noGZnzWrJEHTC0hvEdRANqcYXikATw23/8xUieItTnnbTQsHy0pPwT4ZrRcJahtRe80\nYVHd0+m15yubDs21EEVau5w/JnVK2zXrmUJp8jAua3MpxW//OZdF9QBeWdJXE2/irjpm3ASsasYc\nOk4X+fm+ONRpsl9F2roXJGXpDbOs3ecmY8wf2GU2Yrm28xdJ+XeBc4P9Zeppnm+jqP060v9BPDPx\nr4p6Vf+13KO+ScLqJhkqigQ1K1ifCmp5RpL4GBZFGajqOw9HMzVOs9LrOn7xye1TYwH3WrL8lM+s\n6K/JmMrINWvxtk1ts0ee0zYxf3lNsvqmUKeJJjCdYq47Voup18qWtZHaGRcxr0GdMs6urzKlIIpZ\n0nEiePLRoLf003ndQ/D9ZvZjMytV30l6bD8dR9wCzImW59AqXcphHwUWRPHUqrQk45LGcz4ObDnK\nDswmwsW5LPwGNeVFtBHU4ofX1DUU3i5vpKOVKJ26sywtV5Xgkrd5PfDmpDi/vr4SV037KGuyz3Vx\nv22I7QRLp77M+EoQlvI+yux7uqayCtb/h87+70EQzKIp2XybPDvIiQ2FtKL+MePHtBTUguC0gOJg\nx3kcybrrMRc6fmrWbY/bJ/lLV25nVqThvJPOtFI6vhvo3tf4ZTE/5nVZR6Cj6ai6Fv9FZgtYZouU\nH5slFGvUKCnLH95V13neZxqjsYiidXHbS4NGuYmmsc1LZ143v0fHfebjjuMfVr20FR3jKmeLIlIb\nsirycDmvAR6VrHtDyTZfTZbrpgH/Ea6NKsqugfRFqYfgyJaGBWrq4Vp3j1WkIIltKZd2nAj+8M10\no6bU3XSaaJMG1ThdAmwsaW4I/bEXrVxwH9yeTAuSkx7QR9FMbT9yzLjfehOrT62e1sGMlgXR75fQ\nG5ZgVIJa3N4HSG4o0Ztim/7bkLdX9hCq0qgNMiajvUt9rtVp2l+RFrLp/3QzIns3M84smJotOnZl\n1Dkh5NNfbQS1ODzEOuE7jqH4lyA4xmYaRWOpm7qBdhkbNgzfC5PveH8uJMt/+zi6j8PvC5xziqaw\nm3h651q7qutliRl/pNsJKhd6r0zGVve/bmpaAFkMwXzdN2vqlq2Lj0udsBDbQ5Zps2s14yV9NnWO\nyo/f/oSsOWZ8s+HLzUIybeGcuop0xpw7ttxv1uPQVHjvMeNM4ISoqPL5m9uQRhRp18qCol9Ct/NN\nGenx2ZeOZrkoXNBUFy3bzYmvpa3oU6tX92d5sqR7qz5khsuNkHQy2U1lE0kLJR1gZouBt5DFMLsK\nONXMqrx7ujCzeWYWx8Fa0r2ev9M9zeOMmOityMz4ntlUEOKpKsl3Ff1mSniw4IaS9t+qyYKyNFtH\nPo1eJ6jF5LZGVRqLorLYyWFpWH5WQb2Y2BB+Ed3TfHXG1LGglrcTOyjkZScCR8UbmnGNGQtpplFs\nYoOzC71OFalHaVpWKaiZdZyjIieeouP+HbqPWz+C2o/pfrksxWxqqivXBv8IWIXO/jwvCL6LzLiF\n4v9L0fW4hI6DU5PE4k0EgPx/n9d9d9A8Q3Z9xQ4RbQS19P5dNcV6WrIccz5ZDMc8V3B8X4qfG23u\nD02eKV8vaXdpwe+66z+vlx+/B2mf/WRR0BYW7Wfs9PYceu/VRdtUedH2E4Ylf3F4K53QPEVtlL3s\n5RQFAU81798y4xVBm17lRNFGUIv7mBqjmR1uZvNq2imkLo7abDNbreaTxr2qam8fM1vHzFYyszlm\ndmwoP8fMnmBmG5nZYW12QNJ8SfOioiLpfiYIasOyUZsk6mzU6i7+z4fPoP31W69ym+AhmZ+32WYU\nZdGoE9Tym1weH8iAx9D9JlrETdHvpWbcY1br3dc9sO5QLZXXXwPNWz51/CorD7jZ5BqvfSs240Iz\nfgA8IyqucyYYlFgDWZU+p1ZQC9NqqTNWOjORHquHTm1u/Jtgq2TW421WNwWd78cKFeepiKLwJCmp\noJYSG2SX1UnzIxcJM5sm29wd1a+ypdvRjHOCQ05aJxbU0rGlD3wB9xS0sTXFL2t5QOkqoadIi/dB\neoNLp5pno/q5VhWLs+j6uB2mzACKsooUbXM93WYn8Qty2fUYO8NA94tinqN6sVmXkf4ldPZ1c0oy\nfUQU/Reb3BOKFEX92lXnsw6nSpqX2dO3Z5g3skmhKpXMJAtqyyJlN4lGF70Zb7feYLQxhYbdTZoO\n3++hE1trIEE5McBtPfUZaXEUnA9iI/N0ui1tYzqnzY3iB00Tqo5xbpvW2J09THcUtZ3/ju0107G2\nnWKN66dTXzl702z6pR/S1FkfoldggXqNWt09sC7NWdUzIxeSiq5zo4FGzbKYfPG2R0ft5WNPDerf\nHdUv1YYm19bWwD7h9x5kwbbLSK+VWWRhdrr6MeNi2glGldOtwU6zyAHtc3ScLeL/YxFV07LxdmWR\nFR4MY6n6z6fKkXhfygS1NEBxfJ8vujZ+QzZdm9s5Xk39f7hI89pEe1x0D6q1UQvfD9KtYczHMJCs\n5YKaMyrWMysOEljzpx+EtoLaT80aBz5tM9Y2U59l7eb/zUXAD2psT4ZxXTcVVGOPvffRCTQ7qEb4\nk8CTBti+SFDbHXgssKFZuywfVZhxW3Q+4gf1qWZ9J4L/f8AOJf3JjOvIwgXl+WbvD/ZgKfE9ven1\nFte7EFi1YpxFQVsBnkYnNVzZC0kTjVpOlQlAer3fH61r4kyAGRebZQ5HYeq4SeywnKrpvKJp97Lj\nUaQtrLvPmBnvpKO5M7Lp8ENK6jd1YCqLFHAa2RRoFUvIpiv/SO8LRVlqsLbCZS5o/4rOvtZ5OOfX\nQvzCthf92dXHbZ9Nr5yRj/nhdAud+XbLt6BmZvPNbEFUVPRmMirBwCnBrGtqbmTd1CzXbTcd10Od\nRq1sH3IN04pWnE1iXBq1yOaCG834XFhsGkajEDP+ZcaVA4yryIvzbjP+ZlaY3LpuvNfS7YFXdozP\ngp5pzNaYcYtZdX+WhQuq84j/Db3BtdvYCcm6gyNbVC4rTrN3pxm/M5tKGF/2XIm9S+u0fEXjrBJm\nYtu7lLuoD1ha1zdkdtTb052r+BSKhTIKylpp1CJeBj2axtje9G6zHluunCITiqLxFIafMWNxyRRo\nzGKyPNhbmLFGsv2n4sXwfT+9aehiSs0Ywn3i0JJ66XWU36umhNhgt1z0glNH6oRTeI0Eh4h83alk\njgr3A783swVmNr+PvmuDuAEgaUsyNbsBV5tZv2+NQyfM+S6IjluV95sLapPFsO3yBrFR6+cNv4w4\nenujqc+C+m1eoqZTozZIpO1R2WHGdmM70izWVJ1N3iaNOjZOpjjm16D0e6yeG7aNHxgxdddK65d3\nM9ZKiso0ebGglvezsfXGBczr59+pJq1KsFsKvInkORAJkYOw2EKsN4ktQrsnSoXTpnVT8flYIRNy\nco1ekYB+WuiziLr70pvIpnV/AaxBljUjb9eiNps4wZSxOPHiLrt2c/vIVQEknk6W5SiNP1YlSMac\nT2ZukHMMmQBYZedYNb6q9Y1sdOPfZtnYJNYEHgy29PNq2imkUlCT9Agyw77Hk701CthC0k3AHmZ2\nT9X200EuoUYXXFU0ZhfUJoeXMXgGhfjP8SOaJQeH/jRqbep+hMyA+NfUC2qpx1a+riplEJQLg1W0\nCQtRxoMU38iqUgvljEJQ2wn4pRn/llivhSb3u8Ce1Ntk5cyIe0du65g81H9Fx9PxBHrPg4ANgL/Q\nG0PO0vpmSGo0dZXWuTGtE6Z0i6iyE6qcFjXrid81rOuuiTBSxrpk08b30BnrvQBmnCVNhRKqnfpM\n+q+b4l0croWryM7vJ8im0HO2I7sHXU5m+9a0/5gmL2//k25rxm8lbqVXUGvqGPRKsqn6I0J7DwA/\nTa79h9AtzPVLOoORHod4fF3PNZsKO2ILgAWSyqapS6nTqH2UTI3+PDNbCuRJ1A8jC5z41optB0LS\nqmQGh/8BFpjZSTWbAJxixq0V6yf5ZnsWfaaXmInkb4lDbO+FbaoPs++exo0Hww0o9ZYsurl/lixc\nQ1rnSKpV9FOJ0xt4ZOa8nv5sWXKeYsZtJW/2byBLMTetWJb/NP/deLo93DzPKNmXYTPW+44Z9xAi\n31sWJiU1UJcZ10usQ6/A3TPV1oBCIcKMH0lTD7S69qoEtVRDUqR1GwVNBJJCGzWzzEMxut42pTvR\nd9Nxpxr31i+bZnx3qsA6AWD7/S8U3H+KWrqa4rEWXV9V08dd/UrVtrtBUE2FvH40apcDr8i7prM/\nT063MeNWiY1r+mhFnaC2E7BlLqRlg7Alkj5AdeyUYfAS4FtmdpakU+iEL+iiYOqzinHnwCzFjCMI\nbwbOyCnSqE3HI7vIAP1+CnItmnEfFUavybRFI8z4B8VR9+OxVW1fanAdbJfqPKqmRywaDdMtbE3n\nscq1W1UvuYOSCwlNp/bj7Cbp/8bIpre/EdZdRYOsI0OgzKwmbv9w4Ol1DRU4gvRrUtD0uhRZvunU\nfjFllNdAER8FvpWUFQn6ZddL1XWUb5/aw90Xvo8r2ObrZNPQcW7ulcjO/Ueisu3IzlnhPa9IUzzI\n1Gfdn+VBM+sRbkJZ2yB7SDpG0m2SLk/Kd5Z0jaRrJeU5z+Jk7aUXceJMUHXRrmC9Ubqd5RMD/pty\nT6eybdrQ6K1wCP3MJGayoDbTeICGCbxr6Eej9qX6KvwEir3CA0UapimNmhmrm3GgGW8NU15VGrVh\nXHc70z1lWOaZeKwZb6ZaQ9TWUaJo29b7FAzxz6uo8hhGN0tWaIBvxbEnU23hYZSHDynTfsV9XJR4\nzX8ceKJZltEhqfsGs+7QIZYFT+9yJjDj3sTppsGL7uicCVaS9NQwiFT70CQ/XMqxZDnDvjHVUDaV\n+kUy7d0twMWSziTL1TiHLGH0wN6p1iI+k7PsY8axY+i2iV3JXRXrRsl99VUGZiYLaoMI0P14mQ0q\nsK/NcGcQGp87M+4L2t5SjbUZJ1EySxIoyhTQ1Jlg6JhxbsXqKg/GprSd+syPZ1M78SYa8yZ2pul1\neVRBnbLrro32r7OR8f6Kuj2ygRlbBhvKMs/MQV9iitodxktRKXWC2t+A/ytZ11pFamYXSJqbFG8N\nXGdmNwCEac49yKYBvyjpxTTPKbgsayOcXspSRNUxaq/PsvaaPOze17KfYfF8OtHv65jJAlfKtxl9\nmKKvEeKfTRfJ234dRedzdXpjYk0n/ToTpOv2p1mQ074J4Suq/hNN/i/5vpXFqStrs0pD1nYMTSiy\nD0zZnizNWVqv6T20zf/xNMpzlk6XPPCRYPs5MioFtX7zUrUknuKETJO2jZndTzY95Tg9WLPkw6Wb\nT9M2KfmYzyYz7E+nXg8EftuivQ2BPw9hXKO2T8qZOAHPbMpAuIr/orlHcVEfRvvwB2M9Vmb8s0Ar\n1rqZkt9NiG3U0jYaa9TMOrM3Q6Yfg/ScKs/JP9Btl1e2bW5XON3KiVSALprOvL5guzaCWhvt7Q2U\nZwMZ1bFpMrU/VOrCczwDuNnMbg3L+wMvBW4A5pvZnRWbN2Wgg9nJnXUIsOmjhuOJ6yzjjEvzmt9c\nH6RgysCML/TT3gxipo0XALPGITxmKk2EirTOjcB6oxkOryN7mUlpFJ5jCP0P+/7Q2DY1OAndAjyu\nqt6IxtCEJhq1MprWvYAsLdigDHIeHwlcATw6Kf+OWZeXfm0/gzgR5NSpGI8kOA1Ieg5ZDJbjyebF\nj7t95j8AAA3YSURBVByk44hb6FZdzoHa6Nsx84C7YT6wd5M5dsfp5w/c9gGQ3hg/Ca2SYE8y/d70\nvwJjsQ10qunHMH0u9dNufT0ozTi6JANC2fRm3bpB6ed6z7c5HPhZsu5Gemky7mfDlAF82zENS1CL\nNWofh56YdVWU7eNh0Ml+YDaVsH3Qc9n39sFDfhuK8+m2bGvKieBuRhHwFpgVac32Ar5mZqcBp0ka\nOG1K4BJg42C79tfQzz5VGyQsgFZ52pzlmyuh0DC46ka2E3TiDfWDGe8dZPsSZpSGyoxPjHsMTmuq\nHnZtrr9+H5o9U58l033D1Kg12a9G+27WlfcRMiePoryzi+iNb5e2dWG0OK70j1OCmhkfaLGdkZlp\n/LpnRbWzwCAMJOiZFQrUg3AZme3nDm03rBPUZkt6SAjHsRNZUMum2/Yg6WSyQa4laSHwITM7VtJb\nyB6es4Gjzezqtm0HhpZ42Vk2MWuf+DsOqtqC6RCiZnyuXmciaGtP1WS7um2b0rSN6Qh4OzBmxSGB\ngvD5wRF2PQqNWivM+CfwrCGNo1GXQ27vTxTbqo7clKZO2DoZOF/SP8hy6V0AIGlj+vAIMrNCTZmZ\nnQOc07a9sO38bExsSbFK2XEcxymnLI1TTD8P+mE9wE4FVmvY17CFw4/T7PhMN23imO5NQVDtPulH\nUDuI+kC7o2CoApQZTxhs+xGlkDKzj0k6jywQ3o+iDAVihOmj2pBnJoiC3jpOP8yoacTAuDJt/ADY\nb0x9O8NlNapnIqoCrNb9Z+L4YoPYC70GQOIRFdWqYqy1Zcqpp2J6bxCvz2HwXeApTSqaceoQ+20d\nNN6sNMTXqJmocF2jTMq+CvBMYCPgUZKONrPFZvanfjpznOWIkQt+IT/j5qPup6DfB4BvTne/yxnT\n8uIQUpWVcTZZqqY2NsN5u8Maf/ywvZ+S2IlRSrWBH85mQ3OUGxkhgPt022Y/aZrC+OSMzZlg0qiz\ncTkeeBpZbJcXUR78dmwkKaQcZ1KYrgdtv/acjlOJGS8245Vhsd8AzsMczyIzHlVRZbck1U8/XDHg\n9jkTm1e6X8y4ctxjaMl0CWqN+hllCqnNzGwLAElHAxf308ko8alPZ0gM+6EzE6dSnclhJmgDDiXL\nLFPH7iT5F0eBGT8YdR8Rdf/vD0PfU44vAB7e57ZOh+n4D70LCvOV9jCyqU+yjPEAmNliafKePf1K\nqI7jOBPM5N1sE4I3dK1HdBQXq69uBth2lP1dBry8tBHjHuCivgbgWvKcQc79pxkgm0hTzPhs87oj\nciYAtpQU5x5bJVo2MxuZ1C9pfeADwCPMrPQP4TgTynQkOXec6WLiBcchcDfQKD5osBH7zmiH4/SL\nGe8Z9xiGSZ3X5+zpGkhB39cDr5NUqVb0qU9nSAz1QWTGrZJPXzjODOKxRLNIztiZCdP/jRlk6nPk\nATMlHSPpNkmXJ+U7S7pG0rWSDu63fXcmcCYVM+6tr+U4hfQdWNTpDzP+beaCmjMaBnEmmI7I5scC\nO8cFkmYDXwzlmwP7SNpM0n6SPidpnWkYl+PELFNvb86MZhvgwHEPYkLw/6Wz3DNyQc3MLgDuSoq3\nBq4zsxtCeqpTgD3M7AQze4eZ/VXSmpK+Cmw1iMbNcRqyPNjgODMAMy4KSaEnha2Bfcc9CMdZXmmd\nr3NIrAssjJZvJnuLnCIkg3/jdA7KWa55Ki6sOU4PZpMXlslxlifGJagNTZ0dnAly3KnA6QszLh33\nGBzH6eKj9B+LzJn5LBPT3oM4EeSMS1C7BZgTLc8h06r1wzzgdDM7fNBBOY7jOJOBGf877jE4Y+M2\nWDZenqP4aW8H9uynjelwJijiEmBjSXMlrQjsBZzZZ1sLmP6cZ47jOI7jjAAzHmPGNeMex5C5jExe\nac10hOc4GbgQ2ETSQkkHmNli4C3AucBVwKlm5tGYHcdxHMdxImQ2c6eBJZmZuQG44ziO4zgTTz9y\ny7hs1IaGZyZwHMdxHGeSmejMBI7jOI7jOE5/+NSn4ziO4zjONOBTn47jOI7jOBPGIFOfrlFzHMdx\nHMeZBpYpjZqkPYAXAw8HjjazH495SI7jOI7jONPKxApqZnYGcIak1YHPAIWCmk99Oo7jOI4zyUy0\n16ekYyTdJunypHxnSddIulbSwRVNfBD4YtlKM5vvQtrMJFy4zgzEz93Mxs/fzMbP38zDzBaY2fx+\ntp2O8BzHAjvHBZJmkwlfOwObA/tI2kzSfpI+J2kdZXwSOMfMPEXUssm8cQ/A6Zt54x6AMxDzxj0A\nZyDmjXsAzvQx8qlPM7tA0tykeGvgOjO7AUDSKcAeZvYJ4IRQdiCwI/BwSRuZ2ddGPVbHcRzHcZxJ\nYlw2ausCC6Plm4Ft4gpmdgRwxHQOynEcx3EcZ5IYl6A2tJggkmZufBEHSYeMewxOf/i5m9n4+ZvZ\n+PlbfhiXoHYLMCdankOmVWuFx1BzHMdxHGdZZly5Pi8BNpY0V9KKwF7AmWMai+M4juM4zkQyHeE5\nTgYuBDaRtFDSAWa2GHgLcC5wFXCqmV096rE4juM4juPMJGZsCilJOwOHA7OBo8zsk2MeklOCpGPI\nskzcbmZbhLI1gVOB9YAbgFeY2d1jG6RTiqQ5wDeAR5HZlx5pZkf4OZx8JK0MnA+sBKwInGFm7/Nz\nN7MIIa0uAW42s938/M0cJN0A3AMsARaZ2dZtz9+4pj4HoiwO23hH5VTQE0sPeC/wYzPbBPhpWHYm\nk0XAO8zsicAzgTeH/5ufwwnHzP4NPNfMtgK2BJ4raTv83M003kY2+5RrVvz8zRwMmGdmTzGzrUNZ\nq/M3IwU1ojhsZrYIOAXYY8xjckowswuAu5Li3YHjw+/jgT2ndVBOY8zsb3nQaTO7D7iaLMSOn8MZ\ngJndH36uSDYDcRd+7mYMkh4HvAg4Csgd6Pz8zSxSx8dW52+mCmpFcdjWHdNYnP54tJndFn7fBjx6\nnINxmhGCVz8F+A1+DmcEkmZJuozsHP3MzK7Ez91M4nPAu4GlUZmfv5mDAT+RdImk14eyVudvYpOy\n1zAzDeucQszMPB7e5CPpYcBpwNvM7F6p85Lo53ByMbOlwFaSHgGcK+m5yXo/dxOKpF3JbHsvLcvv\n6edv4nm2md0q6ZHAjyVdE69scv5mqkZtKHHYnLFym6THAEh6LHD7mMfjVCDpIWRC2glmdnoo9nM4\ngzCzfwJnAU/Dz91MYVtgd0nXAycDz5N0An7+Zgxmdmv4/jvwPTLTrVbnb6YKah6HbeZzJrB/+L0/\ncHpFXWeMKFOdHQ1cZWaHR6v8HE44ktaWtHr4vQrwfOBS/NzNCMzs/WY2x8zWB/YGzjOz/fDzNyOQ\n9FBJq4XfqwIvAC6n5fmbyeE5dqETnuNoMztszENySgix9HYA1iabj/8QcAbwLeDxuHv5RBO8BH8O\n/IGO2cH7gIvwczjRSNqCzFh5VvicYGafDuEB/NzNICTtALzLzHb38zczkLQ+mRYNMlOzE83ssLbn\nb8YKao7jOI7jOMs6M3Xq03Ecx3EcZ5nHBTXHcRzHcZwJxQU1x3Ecx3GcCcUFNcdxHMdxnAnFBTXH\ncRzHcZwJxQU1x3Ecx3GcCcUFNcdxJgJJB0q6KkReXyaQtEDSNSEVEJKOk/TSpM59FduvLOkySf8J\nsZccx1nOmKm5Ph3HWfZ4E7Cjmf01LpS0gpktHtOYBsWAV5rZ76LlNHhlaTBLM/s3WZ7O60c0Psdx\nJhzXqDmOM3YkfRXYAPihpLdLOkTSCZJ+ARwfUiF9R9JF4bNt2G4tST+SdIWkr0u6QdKaIb3c5VH7\nB0k6JPzeUNI5ki6R9HNJTwjlx0n6vKRfSvpzrPmSdLCkPwTt1sclbSDpt9H6jePldPdqlvM2DpV0\nafjcIumYPg6l4zjLGC6oOY4zdszsjcBfgXkhn6iATck0bPsCRwCfM7OtgZcBR4VNDwF+bmZPIkvV\n8viyLuhoro4E3mpmTwfeDXw5qvcYM3s2sCvwCZhKV7c7sLWZbQV8ysz+AvxT0pPDdgcAZYJVrDET\n8OlIILs0X29mHzKzpwDzgDuAL5S05zjOcoRPfTqOM4kYcKaZ/Scs7wRsluWHB2C1kOR4e+C/AMzs\nbEl3VbSpsM22wLejtlaM+jw9tHW1pEdHfR8TpiGJcvIdBRwg6Z3AK4BnNNyvg8zsu9Gg7o0HCJwI\n/J+ZXdqgPcdxlnFcUHMcZ1K5P/otYBszezCuEIStoqnExXTPGKxCJiTNAu4Kmqsi4vbzdq2kj9PI\nNHrnAZeYWZWQ2DXsinXzgZvM7PiGbTmOs4zjU5+O48wEfgQcmC9EU44/B14ZynYB1gjltwGPCvZq\nK5FNZWJm9wLXS3pZ2EaStqzp+8dkmrNVwjZrhLb+A5wLfAU4dtAdlLQbsCPwtkHbchxn2cEFNcdx\nJoUqb8gDgadL+r2kK4H/F8o/DDxH0hVkU6A3AZjZIuBQ4CIyIe+qqK19gddKugy4gsz+rKjP3Hbs\nXOBM4JJgU/auqM5JwNLQx6D7+Q5gHeCiYL/24RZtOo6zjCKzUs9wx3GcGUUIY/E0M7tzmvo7CFjN\nzA4pWf8zMpu0Mo/Qpv1M6345jjM5uEbNcZxliWl785T0PeBVwOcrqt0JHJcHvO2jj5WD5m8FMs2d\n4zjLGa5RcxzHcRzHmVBco+Y4juM4jjOhuKDmOI7jOI4zobig5jiO4ziOM6G4oOY4juM4jjOhuKDm\nOI7jOI4zobig5jiO4ziOM6H8f6cUgE7+N53DAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f672ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"showPeriodogram(accelerometerData, 100, title='Accelerometer Data')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"#Boneyard"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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