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@kylemcdonald
Created August 7, 2015 16:46
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Voyager 1 Decoding
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we load the data, which I downloaded in advance from https://archive.org/details/Voyager1 as a 48KHz 24-bit wav file."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x121391518>]"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zv5JLTUyNBxbs3BkZrmQN4qqrioeLSZt0mvbixmzdGvXB7dwZFTgxRx8dNU0V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\n42TO/wd6QOlS7l2TMQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10342b2e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline \n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from wavio import readwav\n",
"filename = \"495-AAB_8min10sec.wav\"\n",
"samplerate, bitdepth, data = readwav(filename)\n",
"x = data[:,0].astype(float) # get first channel\n",
"plt.plot(x[::1000]) # plot every 1000th sample"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data has a really big range so we clip it to 3 times the standard deviation."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1215e0668>]"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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XlBUrPGVR7/hun2nTql9LeyS733OK8x83k9HdZlF8pnSAP/0pedznnvO+778fdtmldtgt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x103414e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clip_value = 3 * x.std()\n",
"x = np.clip(x, -clip_value, +clip_value)\n",
"plt.plot(x[::1000])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To find the line frequency, we run a really big FFT and look for a peak."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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nx2tXcbnBBmE5c2bt+0nSSy9VP1ql1n8GxVPwFyzoX+fzz4c3bUk6/vjSpW+xZiG8M+ja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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12135c2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 8192*8\n",
"mid = len(x) / 2\n",
"fft = np.fft.fft(x[mid:], n=n)\n",
"magnitude = np.absolute(fft)[:n/2]\n",
"plt.semilogx(magnitude[:])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There main peak should be around 125 Hz according to documentation of the recording, and it looks like there's a 60Hz signal beneath interferring with the main signal. Let's get the exact frequency of each line."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"383.251461988 pixels per line, 125.244140625 Hz\n"
]
}
],
"source": [
"cols = n / np.argmax(magnitude)\n",
"line_hz = samplerate / cols\n",
"print(cols, 'pixels per line,', line_hz, 'Hz')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Anything lower than that we can just filter out."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.signal import butter, filtfilt\n",
"N = 3\n",
"nyquist = samplerate / 2\n",
"Wn = line_hz / nyquist\n",
"b, a = butter(N, Wn, 'high')\n",
"x = filtfilt(b, a, x)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"No we can rearrange the signal into a 2d matrix using the line frequency as the width."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(61727, 383)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cols = int(cols)\n",
"rows = int(len(x) / cols)\n",
"x = x[0:cols * rows]\n",
"mat = np.reshape(x, (rows, cols))\n",
"mat.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And we can visualize a square chunk of this matrix."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x12f4e8978>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ADtQgME5OTgqLgCswm83i3ZIKmXtuxrIpqtFoRDoyuRFOhFguk8kk9kPMZrNCLkG9Xg+C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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12dcdaf98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"offset_pct = .05\n",
"offset = rows * offset_pct\n",
"plt.imshow(mat[offset:offset+cols], cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"While the fundamental frequency is approximately 125Hz, there is a lot of wobble in the exact pitch. So let's try to find a correlation between the first row in an image and all the succeeding rows using a period correlation, then shift each row by that amount."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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qeZ6PsyzrSPoDSf+ZpB+VdJbn+T/Isuwzkg7yPP9MODf//Oc/nwRvNptpPp+n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FAAAg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\nhLuWqsf4AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12f549550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def periodic_corr_np(x, y):\n",
" return np.correlate(x, np.hstack((y[1:], y)), mode='valid') \n",
"def roll_image(img):\n",
" rows = img.shape[0]\n",
" cols = img.shape[1]\n",
" for i in range(1, rows):\n",
" x = img[0] # can give bad results if first row is bad\n",
"# x = img[i - 1] # tends to drift, could be corrected by accumulating offsets\n",
" y = img[i]\n",
" corr = periodic_corr_np(x, y)\n",
" img[i] = np.roll(y, np.argmax(corr) - cols)\n",
" return img\n",
"def show_offset(offset):\n",
" chunk = np.copy(mat[offset:offset+cols])\n",
" chunk = roll_image(chunk)\n",
" plt.imshow(chunk, cmap='gray')\n",
" plt.show()\n",
" return chunk\n",
"_ = show_offset(offset)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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