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@teshanshanuka
Created August 10, 2020 07:10
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## From https://haythamfayek.com/2016/04/21/speech-processing-for-machine-learning.html"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.fftpack import dct\n",
"import soundfile\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"signal, sample_rate = soundfile.read('hotel.wav') # File assumed to be in the same directory\n",
"signal = signal[int(5 * sample_rate):int(7 * sample_rate)] # Keep 2 seconds"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f575f58cd30>]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x216 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18, 3))\n",
"plt.plot(signal)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Pre-Emphasis"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"pre_emphasis = 0.97\n",
"emphasized_signal = numpy.append(signal[0], signal[1:] - pre_emphasis * signal[:-1])"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f575f5b5580>]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1296x216 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18, 3))\n",
"plt.plot(emphasized_signal)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Framing"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"frame_size = 0.025 # Seconds\n",
"frame_stride = 0.01 # Seconds\n",
"\n",
"frame_length, frame_step = frame_size * sample_rate, frame_stride * sample_rate # Convert from seconds to samples\n",
"signal_length = len(emphasized_signal)\n",
"frame_length = int(round(frame_length))\n",
"frame_step = int(round(frame_step))\n",
"num_frames = int(np.ceil(float(numpy.abs(signal_length - frame_length)) / frame_step)) # Make sure that we have at least 1 frame\n",
"\n",
"pad_signal_length = num_frames * frame_step + frame_length\n",
"z = numpy.zeros((pad_signal_length - signal_length))\n",
"pad_signal = numpy.append(emphasized_signal, z) # Pad Signal to make sure that all frames have equal number of samples without truncating any samples from the original signal\n",
"\n",
"indices = numpy.tile(numpy.arange(0, frame_length), (num_frames, 1)) + numpy.tile(numpy.arange(0, num_frames * frame_step, frame_step), (frame_length, 1)).T\n",
"frames = pad_signal[indices.astype(numpy.int32, copy=False)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Window"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# frames *= 0.54 - 0.46 * numpy.cos((2 * numpy.pi * n) / (frame_length - 1)) # Explicit Implementation **\n",
"frames *= np.hamming(frame_length)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fourier-Transform and Power Spectrum"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [],
"source": [
"NFFT = 512 # N point FFT\n",
"mag_frames = numpy.absolute(numpy.fft.rfft(frames, NFFT)) # Magnitude of the FFT\n",
"pow_frames = ((1.0 / NFFT) * ((mag_frames) ** 2)) # Power Spectrum"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Filter Banks"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"nfilt = 40 # Number of filters\n",
"low_freq_mel = 0\n",
"high_freq_mel = (2595 * numpy.log10(1 + (sample_rate / 2) / 700)) # Convert Hz to Mel\n",
"mel_points = numpy.linspace(low_freq_mel, high_freq_mel, nfilt + 2) # Equally spaced in Mel scale\n",
"hz_points = (700 * (10**(mel_points / 2595) - 1)) # Convert Mel to Hz\n",
"bin_ = numpy.floor((NFFT + 1) * hz_points / sample_rate)\n",
"\n",
"fbank = numpy.zeros((nfilt, int(numpy.floor(NFFT / 2 + 1))))\n",
"for m in range(1, nfilt + 1):\n",
" f_m_minus = int(bin_[m - 1]) # left\n",
" f_m = int(bin_[m]) # center\n",
" f_m_plus = int(bin_[m + 1]) # right\n",
"\n",
" for k in range(f_m_minus, f_m):\n",
" fbank[m - 1, k] = (k - bin_[m - 1]) / (bin_[m] - bin_[m - 1])\n",
" for k in range(f_m, f_m_plus):\n",
" fbank[m - 1, k] = (bin_[m + 1] - k) / (bin_[m + 1] - bin_[m])\n",
"filter_banks = numpy.dot(pow_frames, fbank.T)\n",
"filter_banks = numpy.where(filter_banks == 0, numpy.finfo(float).eps, filter_banks) # Numerical Stability\n",
"filter_banks = 20 * numpy.log10(filter_banks) # dB"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'the spectrum image')"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# filter_banks_im = filter_banks - (numpy.mean(filter_banks,axis=0) + 1e-8) # Mean normalize\n",
"filter_banks_im = filter_banks[:]\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"plt.imshow(filter_banks_im.T, cmap=plt.cm.jet, aspect='auto')\n",
"plt.xticks(np.arange(0, (filter_banks_im.T).shape[1], int((filter_banks_im.T).shape[1] / 4)), \n",
" ['5s', '5.5s', '6s', '6.5s','7s'])\n",
"\n",
"ax = plt.gca()\n",
"ax.invert_yaxis()\n",
"plt.title('the spectrum image')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mel-frequency Cepstral Coefficients (MFCCs)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"num_ceps = 12\n",
"mfcc = dct(filter_banks, type=2, axis=1, norm='ortho')[:, 1 : (num_ceps + 1)] # Keep 2-13"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"cep_lifter = 22\n",
"(nframes, ncoeff) = mfcc.shape\n",
"n = numpy.arange(ncoeff)\n",
"lift = 1 + (cep_lifter / 2) * numpy.sin(numpy.pi * n / cep_lifter)\n",
"mfcc *= lift #*"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# mfcc_im = mfcc - (numpy.mean(mfcc,axis=0) + 1e-8) # Mean normalize\n",
"mfcc_im = mfcc[:]\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"plt.imshow(mfcc_im.T, cmap=plt.cm.jet, aspect='auto')\n",
"plt.xticks(np.arange(0, (mfcc_im.T).shape[1], int((mfcc_im.T).shape[1] / 4)), \n",
" ['5s', '5.5s', '6s', '6.5s','7s'])\n",
"\n",
"ax = plt.gca()\n",
"ax.invert_yaxis()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mean normalize"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [],
"source": [
"filter_banks -= (numpy.mean(filter_banks, axis=0) + 1e-8)\n",
"mfcc = dct(filter_banks, type=2, axis=1, norm='ortho')[:, 1 : (num_ceps + 1)] # Keep 2-13\n",
"cep_lifter = 22\n",
"(nframes, ncoeff) = mfcc.shape\n",
"n = numpy.arange(ncoeff)\n",
"lift = 1 + (cep_lifter / 2) * numpy.sin(numpy.pi * n / cep_lifter)\n",
"mfcc *= lift"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mfcc_im = mfcc - (numpy.mean(mfcc,axis=0) + 1e-8) # Mean normalize\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"plt.imshow(mfcc_im.T, cmap=plt.cm.jet, aspect='auto')\n",
"plt.xticks(np.arange(0, (mfcc_im.T).shape[1], int((mfcc_im.T).shape[1] / 4)), \n",
" ['5s', '5.5s', '6s', '6.5s','7s'])\n",
"\n",
"ax = plt.gca()\n",
"ax.invert_yaxis()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"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": "3.8.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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