{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Short Time Fourier Transform (STFT)\n", "\n", "In this notebook, we provide a hands-on tutorial and overview about the _Short Time Fourier Transform_ (STFT). In real-time processing, an STFT engine is essential if any frequency-domain application is to be performed.\n", "\n", "Here's the outline of this notebook:\n", "\n", "1. [Why frequency domain processing?](#why)\n", "2. [Time-frequency analysis with the STFT](#analysis)\n", "3. [Frequency-domain processing](#processing)\n", "4. [Real-time analysis and processing](#real-time)\n", "5. [Magnitude modifications in the STFT domain: noise suppresion](#noise-suppression)\n", "6. [Phase modifications in the STFT domain: filtering](#filtering)\n", "\n", "First some imports!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import IPython\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.io import wavfile\n", "import matplotlib\n", "import pyroomacoustics as pra\n", "matplotlib.rcParams['font.size'] = 20\n", "matplotlib.rcParams['xtick.labelsize'] = 15\n", "matplotlib.rcParams['ytick.labelsize'] = 15" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And some utility functions for this notebook." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_spec(spec, t_audio, frame_len, fs, hop=None):\n", " \n", " if hop is None:\n", " hop = frame_len\n", " \n", " fig, ax = plt.subplots(figsize=(20,7))\n", " spec = np.swapaxes(spec, 0 ,1)\n", " cax = ax.imshow(spec, interpolation=None, origin='lower', aspect='auto')\n", " ax.set_xlabel(\"Time [seconds]\", fontsize=30)\n", " ax.set_ylabel(\"Frequency [Hz]\", fontsize=30)\n", " x_labels = np.arange(max(t_audio), step=0.5)\n", " plt.xticks(x_labels*fs//hop, x_labels, fontsize=20)\n", " freqs = np.arange(frame_len//2+1) / frame_len * fs\n", " y_labels = np.arange(max(freqs)+1, step=1000).astype(np.int)\n", " plt.yticks(y_labels//(fs/frame_len), y_labels, fontsize=20)\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Why frequency domain processing?\n", "\n", "We are often interested in what frequency content is present in a signal, as it can provide insight into what type of signals are present. Such an analysis could help us distinguise unique sources and even suppress undesirable ones with the appropriate processing!\n", "\n", "For the purposes of frequency analysis, we rely on the _Discrete Fourier Transform_ (DFT). The DFT of a signal will yield a _frequency spectrum_, allowing us to identify key frequency components in a signal. Below we take the DFT of a signal containing speech.\n", "\n", "**Note:** we plot the frequency in log scale and the amplitudes are computed in _decibels_, namely: $20 \\log_{10} ( |X(f)|) $." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of samples / FFT length : 57040\n", "Duration of input : 3.565000 seconds\n", "Sampling rate : 16000 Hz\n" ] }, { "data": { "image/png": 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sJgVUgiAgMz3NPzXtxtf0VfxEQ+vKclqzEGlalt7wJFy4EW6MUsXWrMX79F0w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\nQEopKcrV+QcN17/mVOjd5Rt8l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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load WAV file and take real FFT\n", "fs, audio = wavfile.read(\"arctic_a0010.wav\")\n", "X = np.fft.rfft(audio)\n", "print(\"Number of samples / FFT length : %d\" % (len(audio)))\n", "print(\"Duration of input : %f seconds\" % (len(audio)/fs))\n", "print(\"Sampling rate : %d Hz\" % fs)\n", "\n", "# visualize spectrum\n", "freqs = np.arange(len(X)) / len(audio) * fs\n", "plt.figure(figsize=(20,10))\n", "plt.semilogx(freqs, pra.dB(X))\n", "# plt.plot(freqs, pra.dB(X))\n", "plt.xlabel(\"Frequency [Hz]\")\n", "plt.ylabel(\"Amplitude [dB]\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that most of the energy is concentrated within $100-1000$ Hz, as is characteristic of voice. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Time-frequency analysis with the STFT\n", "In the above example, we computed the spectrum over the entire audio signal, namely $57'040$ samples. This corresponds to $3.57$ seconds for the sampling rate of $16$ kHz. If performing real-time analysis, waiting for this many samples in order to perform frequency analysis (and further processing) would incur way too much latency!\n", "\n", "For real-time frequency analysis (and processing), we will therefore have to work with much less samples, on the order of $20-40$ milliseconds so that the delay is not noticeable for human hearing. However, using less samples / a shorter FFT results in a \"poorer\" frequency resolution. In other words, we have a tradeoff between _temporal_ and _frequency_ resolution. You can read more about this [here](https://electronics.stackexchange.com/questions/12407/what-is-the-relation-between-fft-length-and-frequency-resolution/12412#12412).\n", "\n", "We will call a small chunk of $20-40$ milliseconds a _frame_. By performing the frequency analysis of consecutive frames, we can form a [spectrogram](https://en.wikipedia.org/wiki/Spectrogram), visualizing how frequency content varies over time.\n", "\n", "Below we build a spectrogram using a frame length of $512$ samples ($32$ milliseconds at $16$ kHz). A frame length of $512$ is selected because computing the DFT for lengths that are powers of $2$ is more efficient." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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AIDf0s4eOSRwlTzT0ID0jM6JuYOEk2vvGN7m1OFjZvzVOr9WBJ1bl454PhAVB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UISVFcMiq2LWlc/nz8EbatbcW2rlPUypDQr6m0TQgghhBBCCCGxRJlYhCSoU5rK8d5Xu+F0MDz7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\n", 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y4SDG3aO6YVsCmVOrlmEYhmEYhmEYhmEYhmEYhkEwz+BZwnskz5DthXvMetdE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OJTdsYs3ZPmwMaTpLRmf34K5QQKMFNoBovfCcwxLF8EKX7zOpvwhDON194emwNUpmet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\nVehkhJeQHDgALnVZy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vXtmaLhJkidQFZHCrJr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\nj0n65W6bt8dctMwUsvHHJ8uTG6LbklOTc2nfgoEapY3x3zMB67M0+nsbAbB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YRqAUa0/saOD6P2JRAB+/IdLEWVptf2J9i7urkQfz3TbSZxMQTn1N86+q3RbW8bZO/GCShx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\nKOgVIEUyX2d9J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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frame_len = 512\n", "X = pra.stft(audio, L=frame_len, hop=frame_len, transform=np.fft.rfft)\n", "spec = pra.dB(X) \n", " \n", "# visualize\n", "t_audio = np.arange(len(audio))/fs\n", "plt.figure(figsize=(20,3))\n", "plt.plot(t_audio, audio)\n", "plt.xlim(0, max(t_audio))\n", "plt.grid()\n", "\n", "plot_spec(spec, t_audio, frame_len, fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above visualization, we can observe the time waveform and the corresponding spectrogram. We can notice higher energy in the spectrogram (yellow) when we have more activity in the waveform. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Frequency-domain processing with the STFT\n", "\n", "So we've seen how to perform a time-frequency analysis of an input signal. Moreover, performing the DFT on consecutive frame allows us to analyze the frequency components of a signal in a real-time fashion. What about performing processing in the frequency domain? For example, filtering out higher frequency components or suppressing noise in an adaptive fashion.\n", "\n", "Let's start off with a super simple example, namely zero-ing all frequencies above a certain _cutoff_ value." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "cutoff = 2000\n", "cutoff_bin = int(cutoff/fs*frame_len)\n", "X_lpf = X.copy()\n", "X_lpf[:, cutoff_bin:] = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then recreate the time-domain signal by performing the _inverse DFT_ of each frame and concatenating the frames." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Naive LPF'ed signal:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "signal_lpf_naive = pra.istft(X_lpf, L=frame_len, hop=frame_len, transform=np.fft.irfft)\n", "\n", "print(\"Naive LPF'ed signal:\")\n", "IPython.display.Audio(signal_lpf_naive, rate=fs)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original WAV:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(\"Original WAV:\")\n", "IPython.display.Audio(audio, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The high frequencies are clearly removed as the voice sound very _muffled_ in the resulting output. **_BUT_** we have have this repetitive ticking sound! What is the source of this \"mysterious ticking noise\" ;)\n", "\n", "Well it's no magic. What happens is that by performing spectral modifications and taking the inverse DFT, we may be introducing _discontinuities_ between consecutive frames. And these discontinuities appear as ticking sounds." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
From lecture notes by Christof Faller and Dirk Schroeder for the course Audio and acoustic signal processing.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The technique for avoiding such discontinuities avoid \"hard\" boundaries between consecutive frames, namely:\n", "1. Process overlapping buffers.\n", "2. Apply windowing in order to fade in/out between frame.\n", "\n", "It is common practice to have $ 50\\% $ overlap between consecutive frames. \n", "\n", "The windowing can be performed at _analysis_ (before performing the DFT) and/or at _synthesis_ (after performing the inverse DFT). The analysis and synthesis windows should be selected so that the input and output signal are equal if no spectral modification is performed.\n", "\n", "A popular pair of window functions for $50\\%$ overlap is the _Rectangular_ (all-ones) / [_Hanning_](https://en.wikipedia.org/wiki/Hann_function) pair. Let's try it out with our naive filter!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Naive LPF'ed signal:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "frame_len = 512\n", "hop = frame_len//2\n", "synthesis_window = pra.hann(frame_len)\n", "\n", "# analysis\n", "X_overlap = pra.stft(audio, L=frame_len, hop=hop, transform=np.fft.rfft)\n", "\n", "# LPF\n", "X_overlap[:, cutoff_bin:] = 0\n", "\n", "signal_lpf_naive = pra.istft(X_overlap, L=frame_len, hop=hop, transform=np.fft.irfft, win=synthesis_window)\n", "\n", "print(\"Naive LPF'ed signal:\")\n", "IPython.display.Audio(signal_lpf_naive, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The repetitive ticking is noticeably reduced! We may, however, hear some ringing artefacts (try with headphones) from using a filter with such a sharp cutoff (see [Gibb's phenomenon](https://en.wikipedia.org/wiki/Gibbs_phenomenon))." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Real-time analysis and processing with the STFT\n", "\n", "Before looking at more realistic and interesting examples, let's look into how the analysis and synthesis steps are performed. This will shed some light on some practical considerations that need to be taken into account when using the STFT for real-time frequency processing. With the above \"one-shot\" functions from `pyroomacoustics`, the analysis (framing + windowing + DFT) and synthesis (inverse DFT + windowing + overlap-and-add) are performed on an entire input signal. \n", "\n", "In `pyroomacoustics`, there are also functionalities to perform the STFT and processing with a _streaming_ input signal. The internal workings are a bit difficult to parse as they deal with different use cases, but we will go through the necessary implementation here with a simple example and signal.\n", "\n", "In a real-time scenario we will not have our entire signal all at once, but rather receive it in _buffers_, namely finite number of samples. We are usually able to chose the length of this buffer. Similarly, our processing should return buffers of the same length. \n", "\n", "In the context of the STFT, it is important to see how the following parameters affect each other:\n", "1. The input/output buffer length $B$.\n", "2. STFT frame length $F$.\n", "3. STFT overlap $P$ (percentage) / $D$ (in samples).\n", "\n", "#### Example 1: Desired FFT resolution and overlap\n", "\n", "Let's say we want to perform an STFT with a frame length of $F = 512$ and an overlap of $P = 60\\%$. A common assumption is that the $60\\%$ overlap, _i.e._ $D = \\text{ceil}(FP) = 308$ samples, between consecutive frames would be samples \"available\" at _both_ the current time instant when we are receiving $B$ samples and the previous time instant when we are also receiving $B$ samples. Therefore, at every buffer we should expect $B = F - D = 512-308 = 204$ samples so that we can build the frame of desired length $F$. Moreover, we would need to store $D=308$ samples between buffers.\n", "\n", "#### Example 2: Desired FFT resolution and fixed buffer length\n", "\n", "Let's say we want a frequency resolution with $F = 600$ bins but we are stuck with an input/output buffer of $B = 400$ samples. If we are to use all new input buffer samples for the current frame, the overlap amount would amount to $P = (F-B)/F = 33\\%$, _i.e._ $ D = 200$ samples. Moreover, we would need to store this many samples between buffers.\n", "\n", "#### Example 3: Desired overlap and fixed buffer length\n", "\n", "Following the same argument as the above examples, if we have a buffer length of $B=256$ samples and would like $ P = 50\\%$ overlap between consecutive STFT frames, the STFT frame length is commonly set to $ F = B / (1 - P/100) = 512$ samples. Moreover, $D = \\text{ceil}(FP) = 256$ samples would need to be stored between buffers.\n", "\n", "\n", "#### Analysis implementation\n", "\n", "The code snippet below simulates a streaming source from an input signal, reading $B = 256$ samples at a time." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/eric/anaconda3/lib/python3.6/site-packages/pyroomacoustics/utilities.py:153: RuntimeWarning: divide by zero encountered in log10\n", " return 20*np.log10(np.abs(signal))\n" ] }, { "data": { "image/png": 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EUj4zy61V9O2I0UDMaGJK4rN8CTI00zSn1x9R6AVYujSHMdXVjD0qvIlsMJ/B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\nA7kJJ9dFAebcCtxEtCBJF3QmAdvCOX5XK/7E+dkdHwWuQGB7Dv3evpX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PsuM75WxDfwks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Z2ev8eV0bCLYREWHflr0GK50vHvneifs4f++8nIJAxHvsgam6KLxPqDpIVdgaIvjZHk5P3lL+9m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SfjiOfz0xII7jH4+i6HdJ+kuSvkXnReNXdF64/RtvPv/x33w0iqI7kj4s6T/SOV7hM5K+J47j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g0Z1G1Wk/ncBPrp07VDe/xw6hGUKJlDjke0HgFwnqPjlrK+nRIDhczZ8oBOHA/A9Ar6Qdmw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\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9wmDXCMgR+tVRHkjS3YIvvz8DEac5ZOlnpkRK8irLVCq6KMM3JSoLQpe2faZ0u+7RdiSC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\n9YEar2UMnl3GV6MayecNedvNdj1CFIMD0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "buffer_len = 256\n", "overlap = 0.5\n", "n = 0\n", "\n", "# derived parameters\n", "hop = buffer_len\n", "frame_len = int(np.ceil(hop / (1 - overlap)))\n", "window_analysis = pra.hann(frame_len)\n", "\n", "# STFT input buffers\n", "n_overlap_samp = frame_len-hop\n", "dft_int = np.zeros(frame_len)\n", "new_samples = dft_int[n_overlap_samp:]\n", "old_samples = dft_int[hop:]\n", "\n", "x_p = np.zeros(frame_len - buffer_len)\n", "\n", "# simulate streaming input\n", "spec = []\n", "while len(audio) - n > hop:\n", " \n", " buffer = audio[n:n+hop]\n", " \n", " # analysis step\n", " new_samples[:] = buffer\n", " X = np.fft.rfft(window_analysis * dft_int)\n", " dft_int[:n_overlap_samp] = old_samples\n", " \n", " # collect DFTs to see spectrogram for debugging\n", " spec.append(pra.dB(X))\n", " n+= hop\n", " \n", "plot_spec(np.array(spec), t_audio, frame_len, fs, hop=hop) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now to go back to the time-domain, we need to perform an operation called _overlap-and-add_. As a reminder, we are overlapping two frames and adding their contributions in order to avoid discontinuities between consecutive frames. Moreover, recalling our real-time processing constraint, we must have the same number of samples in the input and output buffer.\n", "\n", "There are two cases we need to consider in the synthesis step when adding and storing samples for the next buffer:\n", "1. Overlap $\\leq 50\\%$\n", "2. Overlap $> 50\\%$\n", "\n", "#### Overlap < 50% ==> buffer / hop size larger than overlap amount\n", "\n", "This is the simpler case in which all samples stored from the previous frame will be used in the current output buffer. Below is a nice visualization taken from [Wikipedia](https://en.wikipedia.org/wiki/Overlap%E2%80%93add_method). The frame length is denoted by $L$ and the buffer / hop size is such that we store $M$ samples (shaded) between frames for the overlap-and-add." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
Overlap-and-add for less than 50% overlap.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Overlap > 50% ==> buffer / hop size less than overlap amount\n", "\n", "In this case, a bit more planning is required because we _will not_ be using all samples from the previous frame in the current output. In fact, we will have to keep samples for possibly multiple buffers in the future!\n", "\n", "It is not common to have so much overlap; nonetheless, it's a good exercise in understanding overlap-and-add and how samples need to be shared between buffers. Below is a visualization of a scenario in which we have more than $50\\%$ overlap." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
Overlap-and-add for more than 50% overlap.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see from the figure above, more than two buffers overlap in order to create the current buffer's output. If our buffer / hop size is $B$, the first $B$ samples stored from the previous buffer (e.g. shaded region of $y_0(t)$ for $y_1(t)$) will overlap and add with the first $B$ samples of the current frame in order to create the buffer output. Moreover, the remaining $ L-2B $ samples saved from the previous buffer will overlap and add with $L-2B$ samples (after $B$ samples) of the current frame and stored for the next buffer. The last $B$ samples of the current frame will not overlap with any of the samples saved from the previous buffer, but still need to be stored for the next buffer.\n", "\n", "The above explanation is quite dense, so do take care to read through it carefully and refer to the figure above! In any case, such a scenario of more than $50\\%$ is quite uncommon. In most of the scenarios, you will be working with $50\\%$ overlap or less." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Analysis + synthesis implementation\n", "\n", "From the code snippet above, we add the synthesis step and ensure that the input and ouput closely match." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE : 0.000755\n", "STFT passthrough:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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t3Gj9XmsmrJ0Q2Zs0M1LKW7OsjXrvHzcTryBMXDcRBio2KyOYMkWLT5OjL8Nc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LUzZD4NoE41FKm6V90BeWIUkJUlsgtNnOg5O2FYoFhAmIrFp2RDzskG2eCY+ZZlyM5W76sVN61g\nWp9pDGg0gHkj5zl2ZYkI3esnXAY0C65fQLd63fh4w8cA5BTliBVR7p0Mm7Wc7ISexEBXqypH/CxP\ndV3iW3ljieXLfaZwoCu8utUpI1WLFrls2yZiYnlL+zrtK6+01p5CTLLBieZwqJMjq5jVCs2ahXYQ\n4Pd3XEkc/DkJ7W8WGwuTJ4fPte43wjTGnTxV5t/9/+1cJsN//uPf49zQ7gbiLfGsu20dS8YucQgi\n8XEBPAnLHoP/HnJyk3/kETh0CAIUSqZcHO6EmphYE2rNgfkziC9qKwTrl3bz/vswYwZccAGsXg37\n9gW3nRXRI0tkyo23xPPxsI/58dof6d5drIuOhrlz4eefQ9jAKpIYmciLA190uEkC9M3uC0BmUh1R\noBWqzPaA/Mq7TWNheaRE2BVa6/zpKNu1S3yuCUA4wXAk3hLP9W2vdyqLixMJBnT8i9FoZNSoUdxz\nj0hK8Msvv4S4Rb6jZFs8cuSIx/WHDx92qgc4YmOVeQiyVhPELt2dUCfkZMaLjlFKlMgaEVARK4wt\nsbwOFBtCC5awRQk4bnOxJqmIamRc6lavG3tO7yHOogYz7NoVvMp38suTsOEap6KnnoLRo73ZOMQU\nJUD0KShIgeiTgBgsnz4tzOJPn3Y/d90yu9Ets5vbrqKiJIqL1FhZwSQcBr0AAxoNYECjAZie9OJV\n7HZtVxQTqxrxrXzJNOiToO5e15fZc8VCNyshi7+PVBKB9oh95lpzbtrZi0JtrQNBTmZyruGYzAmi\nW2oY0jatLaDeF15fU8q70ls2jBLPhrPq7P6wYeLeLWfCP6Ao/6dWxEqKqA1/TsLWCDgkrLBr1YJJ\n9iSE4RZX6rtrvmP7ye0YDUauaSP6Al99BVu3CnfCq68OcQP9wPIbl1Mntg4p0SmsO7LOESeqSVOZ\n7fZ8LmaTixWwZCVz3Uz2W+bTrf0Q3tw3mcgvfuDlt+C772DgQFHt22+D/M/onDcoAco9hQwJdzp0\n6ADA0qVLPa5Xyi+44AJHWVJSEgD79++nseL3aqe8TIZG+4vWarU6lkOFbomlE3JeGfQKr132Gv0b\nigiNgRWxnIPBQnjE0QAwG9zj4Oh4iSNGjw8PVA/Z3RzZyivp47875F3W3rqWftmq7/mb2qSBR4S1\niOssGsC19R6DU84vi0cfDUxKdr9zOhte2A9vKlOhMvXqwf798M8/9pLKXDHtFRQLAiVj2fnM21e8\nXXkl12tbG2zZra6ri6BjRQV1Xay3PLk0Kri6NlbF1Y+qiYleuRUqIpvm3rZ7p4RUxPpg6Afc2/Ve\nj++4/ik3hqBFNZBDdkWiJNZRpPTJ4+M91D/HUa4lr91ttcJ2ZSL0kyXwxVynopIS+OwzX1roXxzZ\nCW1W/pn4D/9M/MchXlqtsGEDrF8fuvZ5Q2JkIp0znE1BExLgwgtD1KAA0COrB42SG5EYmUif7D6O\n381ktrH+tvWsumWVQ4CVreKajImzUXvfrfDJ19SNzoZpMoadl3HLLUK4ysoS/Qs/xt3WOc+YO3cu\nCxcuxOahI3DkyBHeflv0xWpizKgePXrQrFkzli9fzueff+607vPPP2fZsmU0bdqUnj17OsovtD90\nlP9b4Z9//vEYlB4gJUUYnOwLA/NWXcTSCTlxljhu73y74yVXLRGrvMDe6+xiQlGSo0hJ3mC/H0OO\n2ShELMU3vm1C21A2p2ahDFpdf//9Xd3rKjgssSrPaORKlDmK9nXac0mjSwC4rs11zoE2D3Xmqi2n\n+GDoB7DQ2Z/ko49qcBBNSYbceppArDZkWbg/KlmVQioKr9UIAa9uhm/fcqTaBhELaebM4DerMuon\neuGT42pV5U3MKlfXwApdD73IeujYxgeLx1J3C9PYWA/1KkEZpDtiJh5vUX5l5XmgEfgUESuU2fqu\nb3s9z1/6vONdp01F3zC6XXmb6Wj58iN45w8oSHUUzZkjgjvXrh3CdoUI5b7wvt+kuWcrs9S0md3q\nmM2hjT+ktcRqXbs1rWu3dhKxWrWCNm1C1z4dzyjXp0220SatDZ3qdsJoL5NtapIS5drSZr/U0fEX\nf/75JwMGDCAjI4ORI0fy4IMP8uCDDzJy5EgaNmzIjh07uPLKKxkxYkSom+ozkiQxe/Zs4uLiGD16\nNMOGDeORRx5h+PDhjB49mri4OObMmeNwIQS48soradKkCXPnzqV379488MADjB49ms6dO3NZOdlI\n+vcXBifDhg1jypQpPPvss3zwwQdB+R9d0d0JdcIG5SVXbRHLk2XCz8/Dj69CqWr18eyz8MorVRtQ\nBQIls8uD3R/kXz3/xSc/fcKk/03n+CtfETnpQsZ2HM2bf2nMfawmMLr7MZ+X2FwtseyDdUVsKUqA\nyDNOm5gjZEpdduOrAHNR9kXMGDiDce3HOZW/8gpcf71dMF19GzT7ludvHk5Wgkgtc+ONYjZ72DDI\nzKQGoWTPU4Ozu7ryVHYOPaWJ9xsnNeZsJ5rDieY0HaYWNWsm/sKNPvX7ADCq1SjmbZznuZKbpVQF\nJ7pcd0IfLLE8PUcV3CyxKuD1DZC4x6no779F8H9vWHjDQrae2Mq2k8JZVxm016kDR1yaaCyqjTXy\nmJN7SkYGHDwYHpZYCspAvElyE8f/ZbR3LGMLWnM2eoOPe/RjttRwpyQWcho6FcXGqhnAzjd8ToRj\n1Lz1amB8Ta0llqNMI2LphCdKv14bOsBRJqsClzK+Vn7TcHhe65w73HfffTRp0oRFixaxfv16FixY\nQFFRESkpKfTt25drr72Wa6+9NrAJxgJIly5dWLVqFdOnT2fRokV89913pKamcs011/DYY4/RzKUD\nHBkZyeLFi7n//vtZuHAhq1atonXr1nz88cckJyczb557f/Tmm29m7969fPLJJzz77LOUlZXRp08f\nbghBsLaAiFiSJI0GRgPdgDrAjbIsz/JQLwN4FbgEKAI+AR6UZbnApd4twINAJrDRXmdxoPalExp8\nNov3RHnuZFYzFDtHDzabfQsoHGiUQX2ZTQhTdSLrcDsbeOIUPGjLwRr9qFN9o0nGeq4OVHzF1RLL\nMcCv4Foy2AVAq+rGqcQ2NHvp2SlJEpO6THIrv1ObLb44Ad77nXvVhFLEx8Py5d4dIzxxz3bnbadT\nub4DImJ5EFVqQtYio8FI3sN5RJmiyhexyrMy9UR5IlZFlliuwpQ3lljetCmnkfjT0KiR+CsndIMT\nFze8mIsbXszdP90tmmXvXCYnSxw57lLZNUi9ZHO4LIaTiKW1SlBQRKzEM72qIGKdR4RpYPdQ4Ukc\n8Au+PG+CiMMF7XwSbs8BlN9N+8xz/JY28RkbEeu4l5XPODXsqI5OtcnMzOSOO+7gjjt8yIirITs7\n26t4WXv27KnS/vv27VvteFzNmjXzyTIqMzOTTz/91OM6T20xGo08/fTTPP300wDk5eU5YokFm0B1\n70cA2cD35VWQJMkELADqIwSvycBI4C2XelcDM4E5wCCE8PS9JEmtA7EvndDhN0ssTygWORoi3ItC\nihITq9SmzpQqYkppqbu4p+0MnPe4ZUtzyeToaeBTYPc9KVT9SRV3lNRUt+peoVjUaOnXz0PFmopi\nnaOxBlJmv70dSAZbxKopA5vYiNiKgzPLrgJtBTiuey8ssXCt64U7oWuQ+SBadDjcCj0I1JLSpVHO\nlcHqNrMfDtYanjKsGT0IWzoeqKFCdaDwJIj6zHvLHIvS38Il+4MLtzrKbrlFfG7ZUvVD+Iu6cXUB\naFNb9RlUAsy31SMwhC3K81o7KHY8w8ssPD/geX678TenSYcXXoDffw92S3V0dGoKgXr1j5Zl+QLg\nngrqjARaAMNlWf5BluWPgLuAayVJ0oY4fgKYLcvyU7IsLwHGATuAhwK0L50Q0aluJxokNuD5Ac9X\nYy8uA5sCu0BRpsZlqVVLfEZ6mQwwWAxrIfyehjQb4ii78krxOXSou9tAsDO6hTUOSyzvhZHIP56E\nr2bBVjVK6NSp8P77cNVVVWvGojGLKHjEyfiTBQugoKCcDWoaqyaKzxL7rMuvjzmszqLtnrqPP17x\nLh7t9ShGyUi7OiIGkOM6LkyqYCsv8SDw1BQRq1JchSJvYmK51vUmJpYvllgVtKH2lkfUWIR2Hn0U\nrrmmnA0qwavYPxVYYoWTe4oyYaHNSGuyZ+oymsKggWGNbomlRcnqXLVJAfuJO6YKQsYFr8F7vzGw\ni2o9+fLLsGxZeLhi967fm2XjlvFwz4cdZd27w2+/Vf7u0QkdRWVFgEsWbvu7JsJi495u99IstZlT\nXNJ77oHmzYPdUh0dnZpCQNwJZdmrKaFBwCpZlrWRMb4GSoCBwHZJkhoCTRGWVY59S5L0mbbMz/vS\nCRFxljh2Td4FwN1d7uaKZlfQf05/H/fiMkh77zeiszdRoHEzXLoUNm3y3mUsWLSr0w55qnP7W7dW\nB+HfLzmPe+qV4bDE8t5aRbJGwrqxTmUWC4wbV/VmmAwmt8GEyaS6MtVYyiwwvVD9bo3A8KTscL8E\n8T96IxgNajKIssfLuPaLawE1xklSEuQUAWfTIPZoFRvq3oBwEC38gjfxpxy4ilbu7p9u+/Ul5pZD\nLC7P4gvSN/+bY+ucy556qqI2e4ci5nuOWeHeDtdq4SBqXtTgIh7p+QiTu06mWUozThScoHFdYBv0\n7SPxweZQtzCM0d0Jnfh4+MfM/Weuk2WSgoTk82SXVBYF+3o6lUVGQq9e1WqmX+lV370xPXt6qKgT\nNmQnZiMhMb3fdEdZRmIt1p+C229TO0jKJHO49c91dHTCj1AOrZoDm7QFsiyXSJK0074OzaerEfNm\nIFmSpFqyLB/38750woAXB75IibXE9w1PN4C0f9TvuZk0LWvB35oq9epBy5bVbmLQqZab5blOedkJ\nHYP383iU4w9MxbieQ5uteoPH8t0Kq6AynM6CxH1Owkv9+rB3b3iIFr6wbNwyasfUpvlrzlPQXbsY\n+N8x8Or8lGe15dESy8V6yZt7xdXi0YOIFWhhwbM7oWJ2ZXfJLrM42lFqL1KyaIYSg2Tg3/3/DcCz\nlzwLwBur3gAgOlp/VlWMLmJpqR1Tm8ldqzgP+8nX0Pk1KI53FH3xBbz+OiQn+6mBOjqISWrbVOcZ\npQ+Gz+LD9R8yqUsnR9m770KfPtClS7BbqKOjU9MIpYiVBJz2UJ5jX4fm07Vejmb9cT/vy4EkSROA\nCQC1atViqTdRaHX8hjZeiNd88DNkLYdRI8V3m4nHHvud9esTeeKJVgCsWLGMyMjwN884e/as0zVX\n1UCB5wUO9yaX7IQVuDuVlZXh+gjU7/Fy2HGpW9EFF+SwdOk6D5W948ixIwDYrOJeLCsrJ9NmmUWI\naOVlHgXYMQg6vYlW4Gnf/iB792awe/duoAFQc37fwxx2Kysp8fSKK49yYlVV6E7oYolVERUEfa6/\nYAl7NzUkL/UsIFK/zpy5msTEUpYuLXaq6/qMq4gDBw4AcOzYMQDy8/Pdm2VTMivaFSubmeLiQiCK\nf/7ZAjSnuDiPpUv/8uqYwWTrQRGD6PBh99++Un56ya3ouuv+x9KlRdVtVtB4pf0rSEjc+fedFVf0\nIJiuWLGc2FjvMvX6cs3VNMZnj6d1Qmue2foMR4qO8GK7F7l73d1OdXpaRrK8+DPxZfsg2H4ZV111\nkK//vAuOtCe291L+9S/hPjhiRCPq1y9g6dIqXJM6wLl9vfmDdrTj119/dSpr3x5cinR8oLxrLiEh\ngby8vOA3SOecxmq1enVdFRUV+f1Z6JWIJUlSApBeWT1Zln0N+1helFnXctfvnnwj/LkvUSDLb2EP\nDt+sWTO5b9++Hg6hEyhkWYZllddz4mwd2DRC/W6NYNiwHgwbBk88IYouuaS3Iz5KOLN06VK019zy\nZcthb+jaE9Y43AnLcaPyMDA3m90ffzXiHg925+75A5Cf5lR04ACkpSVhMvWt8m6TjyTDCYi2RHOm\n9AxmsxnKUH87xbrqTBakbIeiRIg+6XlnmhhICpmZGQBkZTVwlNWI31fB5XdOSU7xPFXjCV8Crbtl\nMvRiW6VubgZkrIJ/roOM1bBjAO1q9WXvGbjtUXjgAZHY4NZbO3ncjeszriLeP/0+HARznBmOQ2xs\nLJqUg5kAACAASURBVLjoWAbJgBXgaDv4//buPD6q6u7j+OdH2BKWBERA1gBaUUBAgVpAiSjughYQ\npFZxAXfEtWpVsPi07ii1tFpF4GlFLY+iFdwFLOIGCFpFtCouQFGUfZEA5/nj3klmSzKZzJp836/X\nvCZz7rnnnkxObm5+c87vrj0cXphCXl4uAMOGdWb+fJgypRF9+8Z2zFRqsKYBD/znAc476jyee/K5\nyu28uX1E0ciRRyaoZ6lRRBFADEGsyPF51FH9Y77TcGXGXLYJvIdnbj2TZeuWcXT7oyOCWLMvfpSW\nD/wD3r6SwO/63/7WmoYNp3DFFXDMMUHtFQW+yoBkWFmqOo83yUxljbmVK1em7S5yUn3FenfC+vXr\n07Nnz4QeO9aZWMOBv8ZQrzKTujcCBVHKCyi9VN8YVLY5rA5h9RLVlmSI6DlPYvTwu9DuzZBPbZcs\n8T5dzIYAVjRndD6DW+bfwrBDhzH749np7k5m2ReeCyvL1pBlsq2tI4paRxZVWmCmZWA5YeStfMMC\nkOUGZsKCl7sbRCwxyrS7kVZW5c6H4XVjSAIfQ7L20n38utubk3PHDvbuqs+Npw/jD0/sR7NzYOdO\nb9neWWclbllSbm0vGNWmcRsg+nLCkt/74jx42Jtt5fz81Lm53t+ATNW7dW+23LCFRvX0T0b5tJyw\nIq0ataJVo1Zs/Sny0/HG9RrBnT/ArtKoX4MG8MMPxBwIFBERSbeYkuw45x5xzllFj0oe25vbH8TM\n6gIdKc1bFXgOvz9FZ+DHoBxWiWxLqoO1veHt0E8gjzjCu9tJturSvAtugqNny8RGsjPaqtPgnw/B\n35+HB1fCbXsZ/P5ezs+fxa9a3VZSrWsX71TWpo1fYBUvJ6w2Cb+TaX1ksuBDDklM05OOmUTX5l0p\nKiwKKc/JCZ8cW4mZQTgvgP3HT0vucuQcvPcefPFFAjqdEWJ5P6oyEyuGdoPar7U3FzCa1GoDe7xA\nU/36XmChdWsveJRI5eUGLG7gT1Vt/G1J2eefe89ff53YfiSDAlgxUGL3mAUHvq/oc4VfBuxsCi6H\n8UGXSE2bZu8HfCIiUvOkM1P0C0BvMwueBz8YqAe8COCc+wL4FG8mGABmVst//UKS2hLJaNFnIFQD\nW1qVfv3qH2DaG7Sc/xwsHQufncId13Zm4YJaPDunFo+OH8nfxtxKs7xmAOTU8q6+27SNfQZWtiX8\nTrkpn8K0RSFFn30Gb72VmOZ7tOzBh5d8SON6XlLhwD9cTZuG/WBimhnk/ymzfV4Ae2urkFt19+qV\nmNlj6TSiywjvi+9juStFHLO2ImYzliNKwKtWkq8mAjP1ftz5IwAr1peTjy0/MmKVjSkFL+11abq7\nkHlcZKRFwZfoAnd+BZhy0hTcBBfyezp5sv4OiohIdkpKYnczOxQ4FKjvF/Uys23A9865QKaP2cBv\ngafN7BYgH5gMPO6c+yyouYnA38xsNfAmcC5wEDAqqE4i25JsNPNlKFgdUvTqq6WfwlcnVVpmmYl2\nN4CX74ZPT4WDn4NVg6m7qy1TpsCJJ8K8eXDKKdCuXeSuy8YuY+WGldz42o0h5R06Or7cAaXLzCKn\nXenivQI/HhRRdOCBiT9MxUHZcu6sF1ASxCqtEzwTqzo4v+f5XNDr19D1Ca+gvJlTJYG/SgQAY5mJ\nFfBdV+95TZ+SWTBdvPtmJP2uUj/t/aniSquLIoqOPTbxfUm2prm6RVyJjR2gyZewt3RdcKdO3t/4\nbF8qnCy5dXJ5+synOXT/0sB33bowZw4crDRXIiKSxZJ1d8IzgQlBry/zHwvByzzpnCs2sxOBB4Gn\ngJ+AJ4Drghtyzs0ys4bAb4BbgI+AU51z/w6qk7C2JLM8eNKD9GvXj54PVbCE7otBEUXHHpud/7hU\npLzlNFnl01Pgh4Ngxbnw3x4AHN/kMrpeCGefDYH8f5dcUnYTbfPb0ja/LTe/fjNQOlujUSNgB0GJ\n3iODWFpOWI4oywgPjWUCUBwCQdnAz86VuYwwhiAW1SeItfE3XhrHbzZ/wwfrP/DKfqjD4x/v5bJX\n4BdH1uatbWXtHfbelTebrTLBK2deoPCrATDlM/ixE1bP29S/vzdTr1On2JurjMC4yKuTB8CxHY7l\ntS9fC6lTu7gpe+r8CDublJQ1bw7ffQdNmpB1qt0HFlUx43Vo8kXIeH3lFW+ZcO103mc7w51xyBkR\nZUOGpKEjIiIiCZSUP/3OuYl4s54qqvctcHoM9f5KBYnlE9mWZI7L+lxW8nXvVr15b+17aexNZsjq\n5YSLr/buHrmnPmzsCD/lc801cMYZkJcHHTpAQbRbNFQgsJww8I9u4J9+DnzZe44yiydbgxsJt/xc\n6DGj9PVtezj3XCOohD17kpd3Jnw8R4zvKLOsIhsJRCRL9w38fLM1DlBQv6DkuVsLL6hYUACDux7H\nZa/APWdeRr9pj0ffOZ6cWKUFse3zY+i0vFq1kjNTLz7VI29S5M0Ogqw6DQ7+Z0jRiSfCiy8muVPp\nsr05bCoMKdp/f+9vhoiIiNQs+vxKssI3V31Dk/pNaPiHhunuStrVyamT7i7E7+V7I4ruuafqzR7f\n8Xje/vZtWjfyEh+1adyGb7d8C+u7Qot/ayZWNCvOhmf+1/t6znSY6M+I8nMjTX+s9B//VOSccRUG\nT8rb7m/bV9rRwP//1S1fTpvGbXATXPkBjoBYlhWGB7zKzYlV9p0ikx0kCny/8QbxszFovc+Vc5L6\n8CyY+yfvAwHfqFHw8MNeYv1qRwndRURExFdN1iVJddemcRsa1G2Q7m5khIuOuIgr+lzB9X2vT3dX\nYvfa/8Bf3wkp+v3v4e23E9P8rQNu5csrv6RTE28tU4sGLQA4snszv0YNnYk10XkPgM+PA6Bxvcbk\n18uHf/2WQf4q3IZpjA2HLycsEX4nvFgSjmfzLMVKCrxvA9oPiNjWqOQmd2UHnUpUdjlhcLukLpDw\nq8N+BRBxN8sQ1SzQUW4Qa1cT2NIWduxfUtSkCbRt681Qqn6q189WRESqFzOjqKioyu0UFRWlJZ3A\n6tWrMTNGjx6d8mPHQ0EskSyTWyeXKSdNKbmrW1b4102wpk9I0Y03Ji4JdE6tHAoLCkvyhQVO/vXq\nBdaU1dAgVsBEB4/PhVWnMf/c+Wy6YRPu+87MnQuDB8OCBTCo+aCQBMAA55yT/ATAgZk1gZlYJX+4\nAz+zKPmuKtV+Nf5H99+X/JvnRz0fUd75EP+LytzZsbSg7LrbW0S026JFxYdIhKLCItwEx8/2+5nX\nhTjHQzYJfI/BdykcU/wBPD2TC485oaRsxQqYOdO7AUa1Vc0ClCIikj5LlizhvPPOo2PHjuTm5tK4\ncWO6devGddddx5o1a9LdPYmBlhOKSPJMTE/wKGLJUU1ZTlhcH+rsCimqWxd278a7q9es5zg8KI1S\nnTrw7LPe1zdtvSniE6QZM0i5uJaLFef5z7klRXl+UW5ulPrVRJfmXaKW184Jfw9jmYkVw4y3aYug\ncD7sK13SvGABvPZapr3P1SNoHZiJ1b6gfUlZs33d4INudBhRWu+ww7xH9aaIlYiIVI1zjhtuuIG7\n7rqL2rVrM2jQIIYPH87u3btZvHgx99xzD1OnTmXGjBkMGzasUm2vXLmSvMDFZxXMnDmTHTt2VLmd\n6k4zsSSrvH/R+/zniv+UvJ5y4hTGHnwrn31WWufBB+Hmm9PQuRTL+DtXzb8toujWW5N7yAsPv5Dm\nDZrz68N+DQTN1qhGM7GCgzwtGrRg6dil5Mx4A/49Au7cyH5/Lv3Dd+aZsGkTZMPfwsiE7jHkcwp4\n6xqYPxHevbykaNw4mDgRxo9PVA8z1wcXf8Cqy1dFlA8fHsdMrCgB3xKbCmH5eSFFhYVwwQUVHyZR\n8uvlA9A+v33Etsb7Cr0vXGkitPZ+tWy8g10giBX8uxEIvmf66T9Rpg2eBhs7wN7SwOm0ad64q1cv\nff0SEZHsM2nSJO666y4KCwtZvnw58+bN484772Ty5Mm88847zJ49m3379jFy5Ejmz59fqbY7d+5M\nu3btqtzHdu3a0blz5yq3U90piCVZpUfLHnRq2omTDzqZkV1HcsXPr+Chkbdx4IFw2mkwfDhcdhlM\nmpTuniZfRt+lcKKDhaERK+fgtsi4VkIdtN9BrL92fcmyuMKCQgDq1Kk+Qayfbv6JTy//FID6tetz\n+AGHs3PVUXxx1xOwpz71a5dOiXnySW+GTGbNkgn1y0N+CcBxHY+LXiGWJXHFubBwAuwt/a+2fn2Y\nMKGaJrkO061Ft5JldsGaNollKWb4+5vZvxi9W/fmqWFP8ceT/hix7b3xc+EfT8LOpiVl//wnzJqV\nXXmivhr/FZ+P+7wkT1xgmTSUnrdq1ZCrt3O6nwMPfEHwOD37bPjyy5rzHoiISNWtXr2aSZMmUadO\nHZ577jm6dImczT506FAmT57M3r17ueSSS9jnf3I0ffp0zIzp06fz4osvUlRURH5+fsiEgrJyYq1b\nt47zzjuP5s2bk5ubS48ePZgxYwYLFizAzJg4cWJI/Wg5sYLrLl++nFNOOYWCggLy8vIYMGAAixcv\njjju2rVr+d3vfke/fv1o2bIldevWpVWrVowaNYqVK1fG8Q5mFl0CSFaaO2ous4bOCil77jl46qk0\ndSgNMn4mVhoN7DCQGafP4N7jI++GmO3q5NShdi1vWslXm7/yyuqUzjRZswbaNm5Lt+bdQvZr3x6i\n/L1Ou6PaH4Wb4Er6GxjXhR0CNWJJ7B6ZaFy/HkGB7vLeu/CcY+XNxMoQw7sMj3qjj44tWsBHZ4aU\nNW8OI0emqmeJ0S6/HR2bdCy5E23dnLol2+r4E5Lq1o22Z/UT7e+cfrdFRKSyHnvsMfbs2cMZZ5xB\nt27dyqx34YUX0qpVK1atWsXChQtDts2ePZtTTz2VRo0acfHFF3PmmWeW0Yrnu+++o2/fvkyfPp1D\nDjmE8ePH07NnTy699FIeeOCBSn8PS5YsoW/fvuzatYsLL7yQU089lUWLFnHssceyalXojPw33niD\nO+64g4KCAoYOHcpVV13FkUceyezZs+nduzcrVqyo9PEzSRZOsBeRjPXEM7CldUjRnDlwwAGp7YaZ\ncU73c9hZvBOAQZ0GMe+zeSF1jj8eXnoptf1KlC0/bYko27699Ouvr/o6Yvvq1UnsULop6TPgJT9f\nsHoB53Y/l7e+fYtOTTv5W2IJYvmyIIhVU9x89M3s3beXsUeMZdyL4wC44Qb46Se45BK4+uo0dzAF\nos041gwsEZHEGf/ieJb/d3m6u1GuHi17cP+J91epjUWLFgFw3HFlzPz31a5dm6KiIh5//HHefPNN\njjnmmJJt8+bNY968eZx44okxHfPGG29k9erVXH/99dx5550l5ePHj6dPnz7l7Bnd3Llzeeyxx0Lu\nIPjQQw9x8cUX88ADDzB16tSS8oEDB7J+/Xoald6yGoAVK1bQr18/brjhBl544YVK9yFTKIglIlX3\nwOewrzZsLl0L/sUX3j8b7SNT16RMbp1cll+0nIP2O4gGv/dmbswdNZd3V67jumuhYUOv3rx58O23\n6etnZbXL997nJvWblJS19mOHYX+rskb4jIvAUir25USpHWZv6bSUwG41YRlhuJfOfokdxTvIr5fP\n2CPG8viHXhb/ocMcBQ0uZESXERz/t0Eh+3Q5tBYfbYXSGW+RQaxmO/qxIe/NkLKjj4Y33kjGd1E5\ndXPqMv/c+RTvLS4pq1ULFi3ygj3ZrGHdhtx9/N2hZQ3h7rvL2KEa0kwsERFJhHXr1gHQtm3bCusG\n6qxduzakfMiQITEHsHbv3s2sWbPIz8/n5rBkzd27d+ecc87hkUceiamtgH79+oUEsADOP/98Lr/8\nct59992Q8ubNm0dto3v37gwcOJCXX36Z4uJi6tSpE7VeplMQSyRLpTQn1ocjodsTZW/f2DGiqEOH\nKPXSoHvL7iGvTz7oZE4+KLTOSSelsEMJ0CS3CZOOmcTwQ4eXlDVqBLffDr/8ZRo7lgCBcV2SlL+c\ncV577qPsOeKBkDrTp8M999TM2Rp1c+qGLD0L3NXu8DZduemom0LqHsEYlvJXL2/WVkpnZAWWHu7K\np2jX/SyY14yBPU/mqaccDRt6N85o0gROPTX9eeXmjprLIc0OoUOT0pPNvHlw8MHQMfKUJNWEglgi\nIolT1RlO2SLw4Wgs6VjKqluZ2VOrVq1i586d9OrVK2I2FED//v0rHcTq1atXRFmdOnVo0aIFGzdu\njNg2d+5c/vKXv7BkyRI2bNjAnj17QrZv2LCBA1K9XCZBFMQSyVIpzYn14gMw709wyWHQeA08+iaz\nZm/nrBeOL6myeDFs3QonnJC6btVkNx8deQvO3/42DR1JkBYNWgDQvEFz1m1bF9M+OR+cz573zg8p\nO/dc7yHQv11/3r7gbXq37l1SNnHARDatz+eeYePJyXmYLzd+yYgp9zBgwEXcs/0hHp94Cls3Dudf\n/+jO9WMLOex+OO0W+NUo6NYtc4LT4AWkw2VbQFpCPTPiGd5b8x6/X/T7krJnn4W334Y//CGNHRMR\nkax2wAEH8Mknn/D115EpN8J96y/PCA/wtGzZMubjbd68GYAWLVpE3V5WeXkKCgqilteuXZu9e/eG\nlE2ZMoUrr7ySJk2aMGjQINq1a0deXh5mxpw5c1ixYgU/ZfGUdQWxRLJUSmdi7cvx7vj14CdQexfs\naMYx7eHiIy5m//qtueK70rt/XXopxHFeTronhz0ZcQe3p56CAw9MU4ckxJgjxtCoXiM279rMpfMu\nLRnfnToan4f9jc3d0o2d9n1IWc+e8M03qept9vh5m5+HvJ5QNCHkdYcmHXh3wp8AuK14O3l18gAY\ne7S3fft2yMtLfj9FAE7vfDqndz49JIg1eLD3UBBLRETi1b9/f+bPn8+rr77KmDFjyqy3d+9eFixY\nAHjL94JVZgJB48aNAVi/fn3U7WWVJ8KePXuYMGECLVu2ZNmyZRHBuLfeeitpx06VGrjgQkQqtOq0\n0NfmOPVUYHdD2NEM8JYS/fnUP/O7424OuX39n/4Et96auq7G6swuZ9KjZY+QsuHDveCHpF8tq8Wo\nbqNKLhBqmffnqVmzwAVD6dq1w978AO5dF7Kcbdky+D40riWVFAhghZQpgCUiIiJZbvTo0eTk5PDM\nM8/w0UcflVlv2rRprF27loMPPpgBAwbEfbzOnTuTm5vLBx98wNatWyO2BxLNJ8OGDRvYtGkTffv2\njQhgbdu2jWXLliXt2KmiIJaIRPp8EEx0sGM/v8AxcKAXuArMskp3PhypnvY5L7F4IIgV8anX2sMj\ncuIcdlgqeiYiqfLboyLXRmfihyMiIpIdOnbsyE033URxcTGDBw/m448/jqgzZ84crrzySnJycpg6\ndSq1qpBgtW7duowYMYLNmzdz++23h2xbsWIFM2fOjLvtijRv3py8vDyWLl3Ktm3bSsqLi4u58sor\n2bBhQ9KOnSpaTiiSpeLOifXKnfDtz+G8ovJa955mvA49psOOZiWBg1dfhUcfhUosCxeJWSCIFRjf\nDes25MjcX/P2tLF0zO3JF/+pQ73+Xt6r88+HXr2gtv6SSTU3/9z5ETPlFi6svnfhvH3g7dw+MPSi\n/7bbvIeIiEg8Jk6cyPbt27nvvvvo3r07J5xwAl26dKG4uJjFixfzzjvvkJuby6xZsxg4cGCVj3fH\nHXfw+uuvc9ddd/HOO+/Qt29f1q1bx1NPPcXJJ5/MnDlzqhQoK0utWrUYN24cd9xxB926dWPIkCHs\n3r2b+fPn8+OPP3LMMccwf/78hB83lTQTSyRLVTon1pxp8PRMePN6+GoAzH2QS5v9I3pd57e9/jB4\n6T7vaH5R164webLuECXJMbLrSA4/4HCu+cU1gDcj6/kLZnJ4s/7ceG0D2FsXM+8uhEcf7S13q1u3\n/DZFsl1RYRF9WofeFenoo6ESN0oSERGp0WrVqsW9997LO++8w6hRo/joo4+YMmUKDz/8MNu2beOa\na67h008/Zfjw4RU3FoMWLVqwePFizjnnHD766CMmT57M+++/z9SpU/nVr34FlObOSrRJkyZx7733\nkpuby0MPPcTTTz9Nr169ePfdd2nXrl1SjplK+vxaJEtVeibW8vNCX793GTe88g1Ta8addSVLNMtr\nxtKxS9m+ezvTl0/n7kF3s99+sHQp7NjhzQKcPDndvRQRERGRbNSnTx/6VOJToNGjRzN69Ohy67gy\n8qy0bt2aGTNmRJT/1r+l+CGHHBJSHkgqH6yoqKjM9gFWr14dUVa7dm2uvvpqrr766oht06dPZ/r0\n6SFlhYWF5R4j02gmlkgNFh4I69ikY2BLSVmnToG6KeqUCNCgbgPevvBtDmtRmvAqLw/eegt69Chn\nRxERERGRDLB27dqIsg8//JApU6bQtGnTKiWPr8k0E0skSwVyB1XF/nnebQUfG/IYo3uMZs4nczjj\nyTNgTW8eeQQuuACeew6GDIGf/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "buffer_len = 256\n", "overlap = 0.5\n", "n = 0\n", "\n", "# derived parameters\n", "hop = buffer_len\n", "frame_len = int(np.ceil(hop / (1 - overlap)))\n", "window_analysis = pra.hann(frame_len)\n", "window_synthesis = np.ones(frame_len)\n", "\n", "# STFT input buffers\n", "n_overlap_samp = frame_len-hop\n", "dft_in = np.zeros(frame_len)\n", "new_samples = dft_in[n_overlap_samp:]\n", "old_samples = dft_in[hop:]\n", "dft_out = np.zeros(frame_len//2+1, dtype=np.complex)\n", "\n", "# STFT output buffers\n", "idft_out = np.zeros(frame_len)\n", "current_out = np.zeros(hop)\n", "prev_out = np.zeros(n_overlap_samp)\n", "\n", "x_p = np.zeros(frame_len - buffer_len)\n", "\n", "# simulate streaming input\n", "audio_proc = np.zeros(audio.shape)\n", "while len(audio) - n > hop:\n", " \n", " buffer = audio[n:n+hop]\n", " \n", " # analysis step\n", " new_samples[:] = buffer\n", " dft_out[:] = np.fft.rfft(window_analysis * dft_in)\n", " dft_in[:n_overlap_samp] = old_samples\n", " \n", " # synthesis step\n", " idft_out[:] = window_synthesis * np.fft.irfft(dft_out)\n", " current_out[:] = idft_out[:hop]\n", " if n_overlap_samp > 0:\n", " if hop >= n_overlap_samp:\n", " current_out[:n_overlap_samp] += prev_out[:n_overlap_samp]\n", " prev_out[:] = idft_out[hop:]\n", " else:\n", " current_out[:] += prev_out[:hop]\n", " prev_out[:-hop] = prev_out[hop:] # shift left\n", " prev_out[-hop:] = 0.\n", " prev_out[:] += idft_out[hop:]\n", " \n", " # store processed signal\n", " audio_proc[n:n+hop] = current_out\n", " n+= hop\n", " \n", "# check close match\n", "t_audio = np.arange(len(audio))/fs\n", "plt.figure(figsize=(20,3))\n", "plt.plot(t_audio, audio_proc, 'b', label='STFT out')\n", "plt.plot(t_audio, audio, 'g', label='Original')\n", "plt.grid()\n", "plt.xlim(0, max(t_audio))\n", "plt.xlabel(\"Time [seconds]\")\n", "plt.legend()\n", "\n", "# compute MSE, keep in mind delay in STFT output\n", "err = audio[:-hop] - audio_proc[hop:]\n", "print(\"MSE : %f\" % (np.linalg.norm(err)/len(err)))\n", "\n", "print(\"STFT passthrough:\")\n", "IPython.display.Audio(audio_proc, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the delay in the STFT output due to using the samples from the previous buffer to build the current frame. The delay is precisely the buffer / hop size. \n", "\n", "When we align the STFT output and the original signal and compute the _mean squared error_ (MSE), the value is acceptably low. And from \"audible inspection\" the signal sounds unaltered after going through the STFT!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the code snippet below, we perform the same STFT passthrough using `pyroomacoustics` functionatlities. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE : 0.000755\n" ] } ], "source": [ "# STFT parameters\n", "fft_len = 512\n", "hop = fft_len // 2 # half overlap\n", "window = pra.hann(fft_len, flag='asymmetric', length='full') \n", "\n", "# create the STFT object\n", "stft = pra.transform.STFT(fft_len, hop=hop, analysis_window=window)\n", "\n", "# simulate streaming input\n", "processed_audio = np.zeros(audio.shape)\n", "n = 0\n", "while len(audio) - n > hop:\n", " stft.analysis(audio[n:n+hop])\n", " processed_audio[n:n+hop] = stft.synthesis()\n", " n += hop\n", " \n", "# compute MSE, keep in mind delay in STFT output\n", "err = audio[:-hop] - processed_audio[hop:]\n", "print(\"MSE : %f\" % (np.linalg.norm(err)/len(err)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Noise suppression in the STFT domain\n", "\n", "Now that we know how to perform real-time processing in the STFT domain, let's look into our first application: _noise suppression_.\n", "\n", "We will implement a noise suppressor that relies on the spectral subtraction technique. The approach tries to determine \"how much\" of each frequency bin correspond to noise and uses a mask to attenuate those bins deemed as too noisy. Algorithmically, we will be performing _Magnitude Modifications_ in the STFT domain.\n", "\n", "You can see a block diagram of the approach in the figure below. The algorithm is described in detail in the lecture notes of the [Audio and acoustic signal processing](http://isa.epfl.ch/imoniteur_ISAP/!itffichecours.htm?ww_i_matiere=2380867301&ww_x_anneeacad=1866893861&ww_i_section=84482813&ww_i_niveau=2936286&ww_c_langue=fr), in the STFT chapter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
From lecture notes by Christof Faller and Dirk Schroeder for the course Audio and acoustic signal processing.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will first create an articifial noisy signal by combining a clean speech file and a noise file at a specified SNR." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Noisy speech:\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/eric/anaconda3/lib/python3.6/site-packages/scipy/io/wavfile.py:273: WavFileWarning: Chunk (non-data) not understood, skipping it.\n", " WavFileWarning)\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "snr = 5 # SNR of input signal\n", "speech_file = \"arctic_a0010.wav\"\n", "noise_file = \"exercise_bike.wav\"\n", "\n", "# load WAV files, should have same sampling rates!\n", "fs_s, audio = wavfile.read(speech_file)\n", "fs_n, noise = wavfile.read(noise_file)\n", "\n", "# truncate to same length\n", "noise = noise[:len(audio)]\n", "\n", "# weight noise according to desired SNR\n", "signal_level = np.linalg.norm(audio)\n", "noise_level = np.linalg.norm(noise)\n", "noise_fact = signal_level / 10**(snr/20)\n", "noise_weighted = noise*noise_fact/noise_level\n", "\n", "# add signal and noise\n", "noisy_signal = audio + noise_weighted\n", "noisy_signal /= np.abs(noisy_signal).max()\n", "noisy_signal -= noisy_signal.mean()\n", "\n", "print(\"Noisy speech:\")\n", "IPython.display.Audio(noisy_signal, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will use the same `STFT` class from the `pyroomacoustics` library and also the `SpectralSub` class from the `denoise` sub-module." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# STFT and SpectralSub parameters\n", "nfft = 512 # STFT frame length will be nfft/2 as we will use an STFT with 50% overlap.\n", "db_reduc = 10 # Maximum suppression per frequency bin. Large suppresion can result in more musical noise.\n", "lookback = 5 # How many frames to look back for the noise floor estimate.\n", "beta = 10 # An overestimation factor to \"push\" the suppression towards db_reduc.\n", "alpha = 3 # An exponential factor to tune the suppresion (see documentation of 'SpectralSub').\n", "window = pra.hann(nfft, flag='asymmetric', length='full')\n", "\n", "# create objects\n", "stft = pra.transform.STFT(nfft, hop=nfft // 2, analysis_window=window)\n", "scnr = pra.denoise.SpectralSub(nfft, db_reduc, lookback, beta, alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we can simulate the streaming input and apply the spectral subtraction approach for noise suppression." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Denoised speech:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# collect the processed blocks\n", "processed_audio = np.zeros(noisy_signal.shape)\n", "n = 0\n", "while noisy_signal.shape[0] - n > hop:\n", "\n", " # SCNR in frequency domain\n", " stft.analysis(noisy_signal[n:(n+hop)])\n", " gain_filt = scnr.compute_gain_filter(stft.X)\n", "\n", " # back to time domain\n", " processed_audio[n:n+hop] = stft.synthesis(gain_filt*stft.X)\n", "\n", " # update step\n", " n += hop\n", " \n", "print(\"Denoised speech:\")\n", "IPython.display.Audio(processed_audio, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By playing with the parameters of the spectral subtraction approach, we can notice a tradeoff between [musical noise](https://www.vocal.com/noise-reduction/musical-noise/) and noise suppression. For example, with a larger `db_reduc`, we get more noise suppression but more musical noise (listen below)." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Denoised speech:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# STFT and SpectralSub parameters\n", "nfft = 512 # STFT frame length will be nfft/2 as we will use an STFT with 50% overlap.\n", "db_reduc = 20 # Maximum suppression per frequency bin. Large suppresion can result in more musical noise.\n", "lookback = 5 # How many frames to look back for the noise floor estimate.\n", "beta = 10 # An overestimation factor to \"push\" the suppression towards db_reduc.\n", "alpha = 3 # An exponential factor to tune the suppresion (see documentation of 'SpectralSub').\n", "window = pra.hann(nfft, flag='asymmetric', length='full')\n", "\n", "# create objects\n", "stft = pra.transform.STFT(nfft, hop=nfft // 2, analysis_window=window)\n", "scnr = pra.denoise.SpectralSub(nfft, db_reduc, lookback, beta, alpha)\n", "\n", "# collect the processed blocks\n", "processed_audio = np.zeros(noisy_signal.shape)\n", "n = 0\n", "while noisy_signal.shape[0] - n > hop:\n", "\n", " # SCNR in frequency domain\n", " stft.analysis(noisy_signal[n:(n+hop)])\n", " gain_filt = scnr.compute_gain_filter(stft.X)\n", "\n", " # back to time domain\n", " processed_audio[n:n+hop] = stft.synthesis(gain_filt*stft.X)\n", "\n", " # update step\n", " n += hop\n", " \n", "print(\"Denoised speech:\")\n", "IPython.display.Audio(processed_audio, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Filtering in the STFT domain\n", "\n", "Perhaps we want to perform some sort of filtering in the STFT domain, either attenuate certain frequencies or spatial filtering (beamforming). In the time domain, such filtering corresponds to convolving our input signal with a certain impulse response that (typically) performs a linear combination of current and past samples.\n", "\n", "Let's consider a super simple filter / impulse response that delays the input by $d$ samples. We can write this impulse response as:\n", "\n", "$$\n", "h[n] = \\delta[n - d],\n", "$$\n", "\n", "where $\\delta[n] = 1$ if $n=0$ and $0$ otherwise. The corresponding response at frequency bin $k$ is given by:\n", "\n", "$$\n", "H[k] = \\exp(-\\dfrac{j2\\pi dk}{N}),\n", "$$\n", "\n", "where $N$ is the DFT length.\n", "\n", "Imagine our current frame has a spike that is _less_ than $d$ samples to the left of the rightmost frame boundary. Applying such an impulse response will cause the spike to \"wrap around\" to the beginning of the frame!\n", "\n", "Below an example in code to demonstrate this effect." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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LL7+4Pc/dzyg4OJi+ffuyd+9eduzY4VJdFgj0m6KIiEgDVlHFkvO4EksSsJyt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\nliTtLeleSaskPS/pPElDy67LrEHSsZJulfScpJW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fft_len = 64\n", "sig = np.zeros(2*fft_len)\n", "d = 20\n", "sig[fft_len//2-d//2] = 1\n", "\n", "# create the STFT objects\n", "hop = fft_len//2\n", "analysis_window = pra.hann(fft_len, flag='asymmetric', length='full')\n", "\n", "stft_pass = pra.transform.STFT(fft_len, hop=hop, analysis_window=analysis_window)\n", "stft_delay = pra.transform.STFT(fft_len, hop=hop, analysis_window=analysis_window)\n", "\n", "delay_stft = np.exp(-1j*2*np.pi*d*np.arange(hop+1)/fft_len)\n", "\n", "# simulate streaming input\n", "sig_pass = np.zeros(sig.shape)\n", "sig_delay = np.zeros(sig.shape)\n", "n = 0\n", "while len(sig) - n > hop:\n", " \n", " buffer_in = sig[n:n+hop]\n", " \n", " # passthrough\n", " stft_pass.analysis(buffer_in)\n", " sig_pass[n:n+hop] = stft_pass.synthesis()\n", " \n", " # phase modification, wrap-around\n", " stft_delay.analysis(buffer_in)\n", " sig_delay[n:n+hop] = stft_delay.synthesis(stft_delay.X*delay_stft)\n", " \n", " n += hop\n", "\n", "# visualized delayed output\n", "plt.figure(figsize=(20,3))\n", "plt.plot(sig_pass, label=\"passthrough\")\n", "plt.plot(sig_delay, label=\"delay, wrap\")\n", "plt.axvline(x=fft_len, label=\"frame end\", c=\"r\", linestyle=\"--\")\n", "plt.grid()\n", "plt.legend()\n", "plt.xlim([0,2*fft_len]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above example, we can see some contribution of the spike _wrapping_ around to the beginning of the frame. This is known as _time-domain aliasing_.\n", "\n", "What needs to be done is _zero-pad_ the frame, namely add zeros to the end of the frame, before performing the DFT so that the signal does not wrap around to the beginning. This can be done with the `STFT` module in `pyroomacoustics`, as shown below. The amount of zeros to pad should be the length of the filter _minus_ one. For non-causal processing, zeros would need to be padded to the beginning of the frame." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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o0djtdpYvX15q/LXXXiMuLo6//e1vvqQSwKmnnspdd90VkvijiSqWRERE6jFn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\nORbC4UbBfX5b/gO7ZtP7vN9Do3ZhCy0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define impulse response\n", "h = np.zeros(d+1)\n", "h[d] = 1\n", "h /= np.linalg.norm(h)\n", "\n", "# create STFT object with correct zero-padding and provide filter\n", "stft_delay_zp = pra.transform.STFT(fft_len, hop=hop, analysis_window=analysis_window)\n", "stft_delay_zp.set_filter(h, zb=h.shape[0]-1)\n", "\n", "# phase modification with zero-padding\n", "sig_delay_zp = np.zeros(sig.shape)\n", "n = 0\n", "while len(sig) - n > hop:\n", " \n", " stft_delay_zp.analysis(sig[n:n+hop])\n", " stft_delay_zp.process() # call `process` to apply given filter\n", " sig_delay_zp[n:n+hop] = stft_delay_zp.synthesis()\n", " \n", " n += hop\n", " \n", "# visualized delayed output\n", "plt.figure(figsize=(20,3))\n", "plt.plot(sig_pass, label=\"passthrough\")\n", "plt.plot(sig_delay_zp, label=\"delay, pad\")\n", "plt.axvline(x=fft_len, label=\"frame end\", c=\"r\", linestyle=\"--\")\n", "plt.grid()\n", "plt.legend()\n", "plt.xlim([0,2*fft_len]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Voilà! No signal wraps around to the beginning of the frame :)\n", "\n", "We can now try a more sophisticated filter. In the code snippet below, we apply a simple FIR low-pass filter." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LPF'ed speech:\n" ] }, { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy import signal\n", "\n", "fft_len = 512\n", "cutoff = 1000\n", "ntaps = 51\n", "\n", "# load file\n", "speech_file = \"arctic_a0010.wav\"\n", "fs, audio = wavfile.read(speech_file)\n", "\n", "# normalized cutoff\n", "nyq = 0.5 * fs\n", "fc_norm = cutoff / nyq\n", "\n", "# design filter coefficients\n", "h = signal.firwin(numtaps=ntaps, cutoff=fc_norm)\n", "\n", "# create STFT object with correct zero-padding and provide filter\n", "hop = fft_len // 2\n", "analysis_window = pra.hann(fft_len, flag='asymmetric', length='full')\n", "stft = pra.transform.STFT(fft_len, hop=hop, analysis_window=analysis_window)\n", "stft.set_filter(h, zb=h.shape[0]-1)\n", "\n", "# apply filter in STFT domain\n", "sig_proc = np.zeros(audio.shape)\n", "n = 0\n", "while len(audio) - n > hop:\n", " \n", " stft.analysis(audio[n:n+hop])\n", " stft.process() # call `process` to apply given filter\n", " sig_proc[n:n+hop] = stft.synthesis()\n", " \n", " n += hop\n", " \n", "print(\"LPF'ed speech:\")\n", "IPython.display.Audio(sig_proc, rate=fs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this better-designed filter, we don't hear the undesirable ringing artifacts in the output that were present when using our previous filter that had a very sharp cutoff." ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }