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@cjayb
Created July 27, 2016 09:25
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walkthrough_PR_3461 (notebook)
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"PR #3461: Add fiff eeg ref dig\n",
"==================================================\n",
"\n",
"This PR adds the location of the Ref channels to `info['chs']`, which is good for topographic plots. Neuromag EEG digitisation starts with the Ref and gets the identity 0, which is what this code is based on. I'm not sure how that would translate to non-Neuromag systems? I'm hoping the test for `len(dig_loc)==1` will at least not cause bugs for them."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import mne\n",
"from mne.datasets import sample"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Opening raw data file /Users/cjb/data/templates/MNE-sample-data/MEG/sample/sample_audvis_filt-0-40_raw.fif...\n",
" Read a total of 4 projection items:\n",
" PCA-v1 (1 x 102) idle\n",
" PCA-v2 (1 x 102) idle\n",
" PCA-v3 (1 x 102) idle\n",
" Average EEG reference (1 x 60) idle\n",
" Range : 6450 ... 48149 = 42.956 ... 320.665 secs\n",
"Ready.\n",
"Current compensation grade : 0\n",
"Reading 0 ... 41699 = 0.000 ... 277.709 secs...\n"
]
},
{
"data": {
"text/plain": [
"<Raw | sample_audvis_filt-0-40_raw.fif, n_channels x n_times : 60 x 41700 (277.7 sec), ~22.2 MB, data loaded>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data_path = sample.data_path()\n",
"raw_fname = data_path + '/MEG/sample/sample_audvis_filt-0-40_raw.fif'\n",
"event_fname = data_path + '/MEG/sample/sample_audvis_filt-0-40_raw-eve.fif'\n",
"raw = mne.io.read_raw_fif(raw_fname, add_eeg_ref=True, preload=True)\n",
"raw.pick_types(meg=False, eeg=True, eog=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Digitized Ref coordinate\n",
"\n",
"Can be had in the `'dig'`-field of info:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.00235201 0.11096951 -0.03500458]\n"
]
}
],
"source": [
"print([dp for dp in raw.info['dig'] if dp['kind']==3 and dp['ident']==0][0]['r'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The semantics of the `loc`-array\n",
"-----------------------------------\n",
"\n",
"@EricGXL\n",
">I believe that it should go in `['loc'][3:6]`, as the first three are the actual electrode location and the next three are the ref location. Can you double check?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a random EEG channel:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EEG 051\n",
"[ 0.04813613 -0.04604408 0.10710171 0.00235201 0.11096951 -0.03500458\n",
" 0. 1. 0. 0. 0. 1. ]\n"
]
}
],
"source": [
"print(raw.info['ch_names'][50])\n",
"print(raw.info['chs'][50]['loc'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### EEG channel info in FIF header contains original Ref location\n",
"\n",
"Based on the above, `['loc'][3:6]` for each EEG electrode is the reference electrode location! Wow..."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[(u'EEG 052', array([ 0.00235201, 0.11096951, -0.03500458])), (u'EEG 054', array([ 0.00235201, 0.11096951, -0.03500458])), (u'EEG 055', array([ 0.00235201, 0.11096951, -0.03500458])), (u'EEG 056', array([ 0.00235201, 0.11096951, -0.03500458]))]\n"
]
}
],
"source": [
"print([(ri['ch_name'], ri['loc'][3:6]) for ri in raw.info['chs'][51:55]])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This means that both `['loc'][:3]` and `['loc'][3:6]` should be set (identically)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ensure user cannot use instance for source localisation if Ref channel added\n",
"\n",
"The use of `add_reference_channels` should preclude source localisation. The only reason to use this function is to allow plotting the Reference channel time course after re-referencing to some other set of channels (_e.g._, going from an online FCz-reference to an off-line average of the mastoids).\n",
"\n",
"Adding a `set_eeg_reference(inst, ref_channels)` to the end of `add_reference_channels` does the trick, setting `custom_ref_applied` to `True` and removing projections etc.\n",
"\n",
"This led me down a rabbit hole, since `Evoked` objects can be created with CAR applied, which must be caught when adding a new Ref!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Raising an error when CAR has already been applied\n",
"\n",
"This is **Bad**, since `active` projections cannot be removed before adding the new channel. So we have to make sure an error is raised if someone tries to re-reference after `apply_proj`!\n",
"\n",
"The fix was clean, simply adding this to `add_reference_channels:L160`:\n",
"\n",
"```python\n",
" # Once CAR is applied (active), don't allow adding channels\n",
" if _has_eeg_average_ref_proj(inst.info['projs'], check_active=True):\n",
" raise RuntimeError('Average reference already applied to data.')\n",
"```\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from mne.io import add_reference_channels"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"hide_input": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"72 matching events found\n",
"Applying baseline correction (mode: mean)\n",
"Entering delayed SSP mode.\n",
"Created an SSP operator (subspace dimension = 1)\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n",
" Rejecting epoch based on EOG : [u'EOG 061']\n"
]
}
],
"source": [
"reject = dict(eeg=180e-6, eog=150e-6)\n",
"event_id, tmin, tmax = {'left/auditory': 1}, -0.2, 0.5\n",
"events = mne.read_events(event_fname)\n",
"epochs_params = dict(events=events, event_id=event_id, tmin=tmin, tmax=tmax,\n",
" reject=reject, proj='delayed')\n",
"\n",
"evoked_no_car = mne.Epochs(raw, **epochs_params).average()\n",
"# del raw # save memory"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<Projection | PCA-v1, active : False, n_channels : 102>,\n",
" <Projection | PCA-v2, active : False, n_channels : 102>,\n",
" <Projection | PCA-v3, active : False, n_channels : 102>,\n",
" <Projection | Average EEG reference, active : False, n_channels : 60>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"evoked_no_car.info['projs']"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Created an SSP operator (subspace dimension = 1)\n",
"4 projection items activated\n",
"SSP projectors applied...\n"
]
},
{
"data": {
"text/plain": [
"<Evoked | comment : 'Unknown', kind : average, time : [-0.199795, 0.499488], n_epochs : 56, n_channels x n_times : 59 x 106, ~3.1 MB>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"evoked_car = evoked_no_car.copy()\n",
"evoked_car.apply_proj()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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tWzc6d+6MnZ0dp06d4v333ycpKYnnnnuOc+fOMWPGDMAYKnjttdd45plnqKqq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\nnFmQAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a6b5950>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8YWdfVCwhaBBYsnHjsSOF54gsae6G8Exc5EJEMaIE4maSVB9j7NZf7rc1APV9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\nOJVJynhiGAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11928ea90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"title = 'EEG CA reference'\n",
"evoked_car.plot(titles=dict(eeg=title))\n",
"_ = evoked_car.plot_topomap(times=[0.1], size=3., title=title)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Check that we catch the applied CAR\n",
"\n",
"Adding a reference channel after CAR is not allowed:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "RuntimeError",
"evalue": "Average reference already applied to data.",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-12-1b716eab93c6>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mnot_allowed\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0madd_reference_channels\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mevoked_car\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'Ref'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcopy\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m/Users/cjb/src/git/mne-python/mne/io/reference.pyc\u001b[0m in \u001b[0;36madd_reference_channels\u001b[0;34m(inst, ref_channels, copy)\u001b[0m\n\u001b[1;32m 163\u001b[0m \u001b[0;31m# Once CAR is applied (active), don't allow adding channels\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 164\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0m_has_eeg_average_ref_proj\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minst\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minfo\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'projs'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcheck_active\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 165\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mRuntimeError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Average reference already applied to data.'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 166\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 167\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0minst\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mEvoked\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mRuntimeError\u001b[0m: Average reference already applied to data."
]
}
],
"source": [
"not_allowed = add_reference_channels(evoked_car, 'Ref', copy=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Then add 'Ref' to the evoked (no-CAR) object"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applying a custom EEG reference.\n",
"Removing existing average EEG reference projection.\n"
]
}
],
"source": [
"evoked_ref = add_reference_channels(evoked_no_car, 'Ref', copy=True)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<Projection | PCA-v1, active : False, n_channels : 102>,\n",
" <Projection | PCA-v2, active : False, n_channels : 102>,\n",
" <Projection | PCA-v3, active : False, n_channels : 102>]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"evoked_ref.info['projs']"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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D3r170aRJE3mb0NBQOTNq6NChSEpKQq1atRAfH4/09HRMmjQJ586du9unonCPoigKBYUy\nzubNm+X/hRBYsmQJevTogcaNG0OlUiEnJwc5OTlYv3491Go1AgMDYbfb4e/vj0WLFiE7OxuffPIJ\nDh8+jKNHj6J3795YtGgRGjRogJycnFI8M4V7BSXrSUGhjKPVamWXk6+vL7Kzs5GXl4cqVapg/fr1\nCAgIwNmzZyGEQHJyMrZs2YKXXnoJb7zxBqZOnYquXbsWqpMkWrVqhaioKIwbN+4un5HC3UbJelJQ\nuI+5ePGirCQAQKPRYPr06YiPj8eff/6JcuXKwWg0QgiBnJwcpKSkIC8vD5GRkejWrRt69eqFkJAQ\nJCQk4KGHHsKAAQNw5MgRCCEwdepUzJkzBwsXLizFM1S4F1AUhYJCGUaaSlziwoULePnllyGEwNWr\nV2E0GnHw4EF4eXlBCIFly5ZBo9Ggd+/e+PDDD1GvXj1cvXoV5cuXR2ZmJnJycpCUlISnnnoK58+f\nx8yZM/HEE0/g0KFDpXSGCvcCiqJQUCjDLF682O13Xl4eNBoN9u7dC8AxbYder8elS5cghMDevXvR\nrVs3ZGVloV+/fvj555/x+++/o169evjpp5/w888/Y/z48Vi0aBGioqLwyCOP4MKFC0hLS4Pixr0/\n2bVr1y3XocQoFBTKMCkpKW4fJapevTpWrlwJo9EIu90OAAgPD8eRI0dgs9lw/PhxpKenY/fu3fjn\nn39w7NgxBAQEyPt//PHHePbZZxEVFYWAgAA0a9YMOp0OAwcOxAcffICnn376rp+jwp2levXqWL9+\n/S3FKBRFoaBQhjGbzW5prEOHDsXBgwfx2WefFdrWZrPhxIkTUKvVmDVrFtq2bYukpCRs2bIFALBq\n1Sq0a9cOL774Inbu3Illy5Zh3759qFy5Mnbt2oXc3FycOXNGnrZc4d7nyJEjqFChAs6dO3f/BrOF\nEP8KIbYIITYLIdaXtjwKCnebgmMdGjRogBkzZsDb2xuenp7yerVajePHj0Ov10MIgZ49eyIzMxN/\n/vknOnTogE8++QStWrXCwIEDcezYMXz77bfYt28fPD09sWXLFhiNRmRnZ6Nt27Z3+xQV7iALFixA\n06ZNb7meMm1RCCH2AUghebaYcsWiULhvOXbsmPwlO4nMzEzMmjULQgio1Wrk5eVJqY8AHJMHkkT9\n+vXx559/giT+/fdfeX9JkRgMBhgMBhw/fhwGgwEhISG4fPkyjhw5gsmTJ8tzRync2zRt2hS5ublY\nunTp/WtRABAo+zIqKNwRlixZ4vZbq9Vi9uzZ0Ov1btN5aLVaeZuLFy/i0qVLWL9+PZ5//nkYjUa3\nOvLy8pCTkwN/f3+sWLECtWrVQkpKCvbu3YszZ87AZrPh+eefd0vJVbg3uXjxIn799Vds3Ljxlusq\n640wASwRQvwuhOhZ2sIoKNxNfv31V7ffWq0WJOXR1E899RQAIDc3F0L8r7MohMDRo0fRv39/7Nu3\nDyaTCSEhITCZTFCpVHIgvEGDBvDy8sLq1atBEna7HWfPnkVeXh6+/fbbu3eiCrcVkhg9ejQ+/fRT\nVKhQAYGBgbdcZ1lXFLVIVgXQFMCzQojapS2QgsLdwnXqDgDIycmBTqcDSdSqVQsfffQRTCYTSEII\nISsLnU4HlUoFg8GAgIAA1KxZE7t370bPnj1lhaDRaHDo0CEcPHgQrVq1QkREBLy9vZGTkwOj0YgJ\nEyaUxikr3AakEfkvvfQSLl++jCtXrtxynWVaUZA86vx7EsD3AFILbjN8+HB5UebhV7if2LFjh9vv\nvLw85OfnQwiBPn36IC4uDi1btgQA2O12eHh4QAiB7OxsVK1aFTabDYcOHcLRo0cRExODH3/8EUuX\nLoXJZMKePXug1+tx/vx51KlTB5cuXUJOTg4eeughXL58GevXr1fcT/cgc+fOxccff4wRI0aAJLZt\n24bDhw/fcr1lNpgthDABUJG8JITwALAYwAiSi122UYLZCvctru4kV5o0aYKzZ8/Cbrfj6NGjABwD\n71zx8PDA5cuXUb58eezatQsGgwG5ubnIzs6GRqORy+vUqYMNGzaAJNRqNVQqlTxvVHHzRCmUTf76\n6y+kp6fjxx9/xIULF/DUU09h3759aN++PWbOnHnfBrNtAH4VQmwGsBbAAlcloaBwP1PSdyNWrlyJ\n9evXY9euXUhMTMTBgweh0+kAOOaCUqlUuHz5MqxWKwwGA3744Qf88ccfqF+/PipWrIiHH34YV65c\nQV5eHlasWIGrV6/K2zdo0EDOjHr//ffv1umWCQ4cOIB+/fqVthg3RX5+Plq1aoXx48ejWrVqmD59\nOg4fPoyKFSvKo/hvhTKrKEj+Q7IyySokk0m+VdoyKSjcLVatWlXker1eD5vNBp1Oh3PnzslTdyQn\nJwNwKAq73Q61Wo2TJ09iy5Yt+Prrr1G9enXUqVMH69evx7Jly7B9+3YIIeTvbpPE/v37ceDAATmO\nsXnz5gfK/bR69Wp8+OGHuHr1ammLcsNs2LABRqMRnTp1AgB8++23SE5ORkZGBrZt23bL9ZdZRaGg\n8CCzYsWKIter1WocOnQIYWFhEEJg3bp1CAgIwIEDBwAA2dnZMJvNUKlU8PPzg1qtxmeffYZGjRqh\ncePGcj1nz56FWq0G4AiSBwcHIzc3F9u2bUNSUhIAR/bMp59+eofP9NYgiZUrV2L58uVYt26d/NnY\nm2Hbtm3Iycm5Lemkd5vFixcjIyMDALB//35cuXIFWVlZcmfgVlEUhcI9S05ODpYsWYILFy6Utii3\nnYJftZMwmUxo164djh07BpLIz8+HyWRCo0aNEBQUBJKoUqUK7HY7bDYbQkJCkJmZiXXr1qF69eqI\niYnB8ePH8d///hcGg0HOojp9+rQcE7FYLHJg/N13372bp33D/PXXX3j00Ufx6quv4vnnn0dSUhJO\nnjx5U3Vt27YNoaGhxVpzZZklS5agYcOGAIBZs2ZBp9Ph8OHDWLly5f2f9aSgUBynTp1CRkYG+vTp\ng5CQEDRp0gQzZswobbFuG8XN+Jmfn48FCxbgwoULKFeuHADg33//RXZ2Ni5fvgzAoWTq1q2L7du3\nIyQkBBkZGYiNjYVOp8OpU6eQmJiIPXv24NNPP0X79u0BOCwRAMjKysKePXvg6+sLjUaDv//+u0x/\nBW/JkiVo3769HLdJSkrCP//8c1N1bdu2DT179iw0fqWsc/HiRWzevBkPP/wwAMe0HT4+PqhVqxY2\nbtyIsLCwWz6GoigU7jl27tyJtLQ01KhRA1u3bsXhw4fRvXt3DBw4EH///Xdpi3fLkCzWT+7v74+L\nFy/CaDRiypQp8Pb2BgDMnj0bLVu2hNFoRH5+PgICAqBSqbBnzx7MmTMHkydPRlZWFtq1aycPqsvN\nzcXChQthsVgA/G+E94EDB3DmzBnZZfHOO+/chbO+OZYuXYoGDRrIv8PDw7F///4brufKlSs4ePAg\nunbtit9+++22uGtuBJIYO3Ys/vjjjxved8WKFahWrRpMJhOys7OxYcMG6HQ6+Pv7w263o2/fvrdH\nwHt1cYiv8CCxadMmBgQEcNq0aYXKnnzySY4dO/buC3WbOXToEOGYlcBtEUIQAH18fNi8eXPa7Xb6\n+PjQx8eHAJieni7/b7PZmJ6eTpVKRY1Gw+nTpzMtLY2hoaFUqVQ0mUz08PDgrFmz+P333xMA9Xq9\nfJyQkBAaDAYaDAaWK1eutC9JkVy9epWenp48ffq0vK5fv34cM2bMDde1adMmVqhQgSQZExPDv/76\n67bJeT28/fbbjIyMZGBgIHfs2HFD+z7//PN88803SZKLFy9maGgojUYjy5cvT5VKxezsbDrbyptu\naxWLQuGeITs7G507d8Y777xTZH5/ixYtsGDBgrsv2G1m/fqiJ0omCb1eD6PRiMGDB0MIgZSUFNSv\nXx9CCCxfvhzVqlWDRqPBqVOnsG3bNjmY2b17d9naUKvVUKvVIIl27dqhWbNmAOCW4aTX6xEVFQW1\nWo3Dhw/j7Nki5+UsVdauXYuEhATZIgIcFoXrJIjXy7Zt21ChQgUAQO3atW+r+2nbtm1o2rRpsR+G\n+vrrr/HBBx9g1apVePPNN9GwYcMbOoclS5bIgewff/wRJBEfH48dO3agevXqcur0raAoCoV7hhEj\nRiAuLg4dO3Yssrx+/frYtGlTmWzUboQvv/yy2DKz2Yzw8HDUqlULgOPDRpGRkQAco7OtVitCQkKQ\nn58PwJEuGxERAY1Gg//7v//DkSNHYDKZcPHiRWRlZaFz586YOHEigoODkZ+fD4PBAJI4deoUzGaz\nHJ8YPXr0HT7rG2fp0qVyAykRERFxU64n12yv260opkyZgp9++qnINNWVK1eid+/eWLhwIVQqFR5/\n/HEMHDgQGRkZJY6lARyzCw8fPhwnT55ElSpVADjiE8eOHUO5cuWgUqnQu3fvm47ZuHEr5khpL1Bc\nTw8Ma9eupc1m47Fjx0rcrnnz5pw5c+ZdkurOEBQUVKTrCQDLlSvH2bNn87vvvmPr1q05c+ZM1qpV\nS3YlmUwmpqSk0N/fnwCo0+mKrEelUhEAGzVqxE6dOtHDw4MAGBgYSABUq9UMCgqiVqulVqulv79/\naV+WQqSlpXHZsmVu6zZv3sykpKQbrqtFixacM2cOSXLnzp0MCwu7LTLm5ubSZrOxRYsWHDp0qFvZ\n+fPnabPZuGTJEtrtdiYmJjIwMJBjxoxhr1692Ldv32Lr/ffffxkTE0M/Pz9GRUXRbrdz9+7d9PDw\noMViocVioUaj4cGDBxkREXHLrqdSb+xvSXhFUTwQZGVlMSEhgd988801t508eTLbt29/F6S6M9jt\ndjkWUXARQtDDw4NBQUE0Go0EQKvVSo1Gw+TkZHm/gQMHyg2/SqWSGwoAbNasGRs3bsyEhAS5ztq1\na9NkMrkpELVaTS8vL6ampsrKZvv27aV9eWTOnTtHT09PXrlyxW39mTNn6OXlRbvdfkP1RUVFcefO\nnSQd98BqtXL//v23LOfChQtZo0YNrlmzhgkJCW5yvfrqq+zSpQtJcsuWLQwPD+cff/zBdu3a0WKx\n0MfHh7m5uW715efn88svv6SXlxctFgvVajWtVit79+7NYcOGUafTUa/XUwjBOnXqsFu3buzZs6ei\nKBTuf9577z22bNnyurY9dOgQzWYzc3Jy7rBUd4YdO3YUa00AYEhICGvVquW2TqPR8KuvvpKD1CqV\nilqtlmq1Wm74XZVN27ZtOW3aNFkhCCG4cePGQtuGhYXx6aefptFopBCCPXr0KO3LIzN37lxmZGQU\nWm+32+nt7e0W4L4Wly5dosFgcGuUW7VqdVss08zMTE6aNIl2u52hoaFykPz48eO0WCz8559/SJIv\nvfQSX3jhBXm/zZs3U6fTsWvXrrJyOXDgACMjIwmABoOBXl5eFELQaDTSZDLRaDTSz89Ptjx79erF\n6OhoDhgwQAlmK9z/rFy58ro/0VmuXDlERkbit99+u8NSOeZjmjt3LsaPH48+ffpg8eJbn4ps4sSJ\n19xm06ZNABy+dCEE8vPz0adPHwCOgL7dbkdSUpIcyHYNZur1emzfvh0vvPACPDw85LhEr169CsV+\nTp8+jfz8fDneMWPGjDIT/ykqPgE4JlK80RTZHTt2IC4uDhqNRl53O+IUZ8+exaJFi5CZmQkhBNq1\na4fZs2fj4sWLGDVqFDp27IiIiAiQxDfffINGjRrh6NGjsNvtqFy5MoYOHYp58+ahV69e+OSTTxAT\nE4NDhw4hODgYrVu3RqdOnRAaGooPP/wQAQEBuHLlinyv4uLi8N1332Hs2LGYOnXqLZ0HAMWiULg1\nPvvsM65evfqOHiMkJIS7d+++7u2HDRvGAQMG3EGJHL7nxMRENmrUiL179+Ybb7xBf39/btu27Zbq\ntVgsxVoTJpOJnTt3JgDGx8fLKa1CCBoMBvr4+DAqKsrNzeTp6Um1Wk2NRiNbDOXLl5d7ngAYFBRE\nIQTXrl3rdjytVsuwsDBGR0fL64YMGXKbruC1mTdvHn/66aciy+Lj47lp06Yiy1q0aMHvvvvuuo/z\n2WefFXJXrlu3jsnJydcvbBFMnjyZbdu2lX+vWbOGcXFx1Ol09Pb2luNt69evZ0xMDBMSEujn50e9\nXs/o6GhyokNdAAAgAElEQVSmpaVRq9UyNDSUGo2GtWvXpr+/P9u0acP333+fCQkJNJlMtNvtXL58\nOZOTkzlgwAD6+fmxWbNmHDJkCAcMGMC+ffsqrqf7mQULFnDJkiWlLUaJpKam3tHG4+DBg/T3978h\nn/OGDRsYFxd3x2QiyU8//ZR169Z1k2vatGmMj4/n+fPnb6rO3NzcEt1O0jgHLy8vApAbe61WK7ug\npN96vZ7BwcE8fvw4hRCsUqUKFy9eLAewu3Tp4uZqEkKwU6dOcl1wiVd4eXnJMQ+r1cr8/PxbunZ2\nu50zZ87kkSNHSJJ5eXlFble1alWGhYXx6tWrbusPHDhAPz8/5ufnc/v27UxOTubly5fl8ueee47j\nx4+/bnkGDRrEkSNHuq3Lycmhh4fHTd9LkqxZsybnz58v/7bb7fT396darWZYWJj87AwYMIAdO3Zk\nxYoVabfbmZWVxb///pu//PILK1euzP/85z/87rvvGBkZyerVq3P27Nm8evWqPGama9euHDx4MAcO\nHMjY2FjGxMQwLS2Nx44do9ls5ksvvaS4nu5nxo8fj88++6y0xSiWq1evYvPmzdi5c+cdO8aaNWtQ\no0YNCCFAEm+99RZq166N1atXF7tP1apVcfHixWtOr3zkyBH8/vvvNyzTlStXMHz4cHTp0gV//vkn\nvv76a/Ts2RO5ubmoV68eunXrJnVkboi5c+cWuV6lcrymubm58vE9PDwwc+ZMBAYGyuMfpL+5ubny\nZ02bNGkC0jEz7AsvvACNRoNFixa5TU0uMXPmTAQHB8u/pdHJ+fn58kjx8+fPY968eTd8bq7Mnz8f\n/fr1Q/ny5dG2bVvYbDb07dvXbaqQ3bt34/Dhw0hMTMQnn3zitv+CBQuQkZEBlUqFV155BQcOHMC0\nadPk8oiIiBsah+A6hkJCq9WiSpUqxY5puRZ79uzBnj173CZiFELAx8cH+fn50Ol0mDp1KipWrIjP\nP/8cR44cwXPPPQchBIxGI+Li4vDII49g8ODBOHPmDLZu3YrKlStjz549qFGjBn744QdYrVbYbDac\nPn0a48aNw86dO3HgwAEcPXoU33zzDT799FM89NBDmDRp0k2dgxu3omVKe8F9bFFcvHiROp2OMTEx\npS1KsaxevZpeXl4sX778HTtG//79OXLkSObk5LBHjx6sUqUKP/30UwYHB/PJJ5/kmTNnityvXbt2\nnDFjRrH1Zmdn02KxUKVS8csvv7whmd5++21Wq1ZN7nlXqFCB77zzDmNjYzlkyBBWq1bthnq0Eikp\nKcVaE56enm6/K1SoQB8fHzmd1XXx9fWlwWBgz549ZavA29u70HbBwcGF1iUnJxcKfgcEBMjWDAAm\nJSXdcFaRxNWrVxkTE8NFixZx79699Pf3p8lkYmpqKmvUqMHmzZtz2bJlfP311/ncc89x48aNDAoK\ncrMYkpOTGRAQwOXLlzM4OJg///wzo6Ki5GD07Nmz+dhjj123TOHh4UW6NgcOHMjXX3/9ps7z008/\nZadOndzWffvttxRCUKfT0Ww2U6fT0Wq10mQy0c/Pz+0cJS5fvkwvLy+azWb+8ssvDA0NJUm2bNmS\n8fHx1Gg0fOKJJ+jh4UFvb2+qVCr27duX48aNo5+fHwMCAmTLg4rr6f5j/vz5rFu3Lr29vXny5Mnr\n3u+1116TG8+1a9cWMttvJ2PHjmWPHj0KZYzcTmrUqMH58+ezQYMGbN68OS9evEjSkR75zDPPMCYm\npsgMp7Fjx/LZZ58ttt66devSx8eH9evXp5eXF4cOHXpdLpVTp07JmUV6vZ4NGjSQU1AlV0HHjh1p\ntVqLfPFLQqPRuLl+iltatmzJ1157jU899RQtFkuR+0RFRdFmszEkJIQ1atTgiy++yODgYGq1WhoM\nBtlV5Rqr0Ov1bNu2bSFFkZqaSk9PTzn91s/Pjz/88MMNnZvE2LFj2axZM2ZnZzM9PZ1PPvkkbTYb\nQ0NDmZKSQpVKxWbNmjEpKYmrVq0iSbZp04ajR48m6cgW0mg0DAsLY1hYGBs1akS9Xs+UlBQ5fXr9\n+vWsUqXKdclz4cIFGo3GIt1fc+bMYbNmzUiSZ8+evSHlOHjwYFnJ2O12jhkzRlbMZrOZ06dPpxCC\n3t7e1Ol0zMzM5NKlSzl69GiOGTOGY8eOZdeuXVmuXDnqdDo2aNCA06dPZ2ZmJk+ePElvb2/q9Xom\nJiZSq9UyJiZGznaLiIigt7c3TSYTW7RoIXdAqCiK+49nnnmGo0ePZnp6+nW/lEePHiUAdurUif/+\n+y/1ej2nT59+x2Rs06YNv/jiC0ZGRnLXrl23vf6rV6/SZDJxwIAB/M9//lPky/zII4/wiy++KLT+\n119/5UMPPVRkvSNHjqRKpeLGjRt5+vRpBgUFMSkpiZ07d76mTJUqVaJOp5OtEb1ez4iICKrVaur1\neh49epS1a9dmVFQUP/jgg+s+V+neSeMjilv0ej1fffVVNm/enC1btuSGDRvkXqq0jZeXF3U6HbVa\nLXU6HZ999llGRERw//79/PnnnymEkC0Fg8Eg76tWq4s8vk6nY69evdxkSElJuWGr4sSJE/T39+f2\n7dtZr149ZmRkyOmeQggGBQVxwIAB1Gg0DAkJkRX3tm3baLVaef78eY4ePZparZZffvmlHI/x8vJi\nUFAQq1atSrvdzhMnTtBsNl+XTGvXri1WqRw+fFiOhVitVlarVo1fffUVx4wZw3///bfEelu3bs2v\nv/6aJLlq1SqGh4fzxRdfpIeHB1u3bs3Y2Fi+8cYb8rlHR0fTbDazf//+7N+/P6tXr06tVkubzcaq\nVatSrVazZs2aHDduHN9//302atSIKpWKq1evptFopEajka2+l19+mWazmWq1mikpKXKCBBVFcX9h\nt9sZGRnJlStXsn///oVGdBbHvHnzWKdOHcbGxrJ27dpMSkpi69at75iMwcHB3LNnD5s0aeIWtLtd\nrF27lpUqVWJMTAx///13t7KrV69y8eLFHDx4MCtXrlyo0crKyqLJZGJWVpbb+jVr1lClUvHtt9+W\n1y1atIghISGMioriwoULi5Vn/vz5FEIwIiKCGo2G4eHh3LFjB/v370+z2UwAbNy4Mc+cOUNfX1+G\nhoYWG6gtSPfu3a9pScAZYB4yZAi//fZbdurUiRUrVmRQUFChMRCuVoaXlxenT5/Oc+fO8eeff2ZI\nSAhVKhVVKhWrVasmB8GlRqvg8QBw2LBh8nbe3t709va+4XsujTZ+6qmnCIABAQFuLjW1Ws2dO3dS\nCMEmTZq47du5c2eOGDGCsbGxrFOnDr29veUR43PmzKGfnx89PDzkUc4mk+m6AtEzZswocYBmaGgo\n161bRx8fH86bN4/h4eEUQrBx48Yl1pucnMyNGzeSdLhPhw0bxvLlyzMjI4MdO3akv78///77bxoM\nBvr6+lIIwbS0NJLkkSNHaDabefjwYbm+Ll26UAjBPn36sFq1aqxXrx7DwsKYn58v3yOpA1CvXj1q\nNBo++eSTbtluVBTF/cWuXbsYHBzMpk2bsnHjxmzYsGGx2+7Zs4e1atXiwYMH+fLLL/PVV1/l+PHj\n5QatqNGrt4P9+/fTarXSbre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5ErVaLSMjI9mgQQP5oVCpVPTy8uLAgQP5+eefyz7d4jJX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\n3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bRoES1btsThcNg9ncA/bXnwRIRKNTWaKFTM6tGjh70wUSBBBK9498UXX9CpUydefPFF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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119a1d210>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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pHS8/Rtuih2iddRxgEvWpricUP+CUSYnSLJHGijRd5iHpZzBZYK/FBZc09qc6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119d95a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"title = 'EEG Original reference'\n",
"evoked_ref.info['bads'] = ['Ref'] # just for viz\n",
"evoked_ref.plot(titles=dict(eeg=title), exclude=[])\n",
"_ = evoked_ref.plot_topomap(times=[0.1], size=3., title=title)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Confusing behaviour\n",
"\n",
"Adding a CAR to an object with ref channel added doesn't do anything, since `_needs_eeg_average_ref_proj` returns `False` when `custom_eeg_applied`. **Perhaps some warning should be raised?**"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<Projection | PCA-v1, active : False, n_channels : 102>,\n",
" <Projection | PCA-v2, active : False, n_channels : 102>,\n",
" <Projection | PCA-v3, active : False, n_channels : 102>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"evoked_ref_car = evoked_ref.copy()\n",
"evoked_ref_car.add_eeg_average_proj()\n",
"evoked_ref_car.info['projs']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So the `evoked_ref_car` object is identical to `evoked_ref`; confusing?"
]
}
],
"metadata": {
"hide_input": false,
"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": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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