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nmf_source_separation.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>nmf_source_separation</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
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<div class=" highlight hl-ipython2"><pre><span class="kn">import</span> <span class="nn">numpy</span><span class="o">,</span> <span class="nn">scipy</span><span class="o">,</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span><span class="o">,</span> <span class="nn">librosa</span><span class="o">,</span> <span class="nn">urllib</span><span class="o">,</span> <span class="nn">IPython.display</span>
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<h1 id="Exercise:-Source-Separation-using-NMF">Exercise: Source Separation using NMF<a class="anchor-link" href="#Exercise:-Source-Separation-using-NMF">¶</a></h1>
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<p>Goals:</p>
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<li>Separate sources using NMF.</li>
<li>Analyze and classify separated sources.</li>
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<p>Download an audio file:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">urllib</span><span class="o">.</span><span class="n">urlretrieve</span><span class="o">?</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">load</span><span class="o">?</span>
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<p>Plot the spectrogram:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">stft</span><span class="o">?</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">logamplitude</span><span class="o">?</span>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">display</span><span class="o">.</span><span class="n">specshow</span><span class="o">?</span>
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<p>Use NMF to decompose the spectrogram:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">decompose</span><span class="o">.</span><span class="n">decompose</span><span class="o">?</span>
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<p>Plot the spectral profiles and temporal activations of each component individually:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">plt</span><span class="o">.</span><span class="n">subplot</span><span class="o">?</span>
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<p>Use the inverse STFT to synthesize the separated sources. (<code>librosa.istft</code> expects a full, complex-valued spectrogram. Therefore, you will need to include the phase of the original spectrogram in your reconstruction. See <a href="nmf.html">the notebook on NMF</a> for more details.)</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">librosa</span><span class="o">.</span><span class="n">istft</span><span class="o">?</span>
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<p>Use the reconstructed outputs as inputs into the kick/snare classifier that you created in an earlier exercise. Observe the results; are you able to automatically classify the separated sources?</p>
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<h2 id="For-Further-Exploration">For Further Exploration<a class="anchor-link" href="#For-Further-Exploration">¶</a></h2>
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<p>Use different audio files.</p>
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<p>Alter the rank of the decomposition, <code>n_components</code>. What happens when <code>n_components</code> is too large? too small?</p>
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<p>NMF is a useful preprocessor for MIR tasks such as music transcription. Using the steps above, build your own simple transcription system that returns a sequence of note events, <code>[(onset time, class label, volume/gain)...]</code>.</p>
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