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<li class="toctree-l1"><a class="reference internal" href="notes/amp_examples.html">Automatic Mixed Precision examples</a></li>
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<div class="section" id="torch-fft">
<h1>torch.fft<a class="headerlink" href="#torch-fft" title="Permalink to this headline">¶</a></h1>
<p>Discrete Fourier transforms and related functions.</p>
<div class="section" id="fast-fourier-transforms">
<h2>Fast Fourier Transforms<a class="headerlink" href="#fast-fourier-transforms" title="Permalink to this headline">¶</a></h2>
<table class="longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.fft.fft"/><a class="reference internal" href="generated/torch.fft.fft.html#torch.fft.fft" title="torch.fft.fft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fft</span></code></a></p></td>
<td><p>Computes the one dimensional discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ifft"/><a class="reference internal" href="generated/torch.fft.ifft.html#torch.fft.ifft" title="torch.fft.ifft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifft</span></code></a></p></td>
<td><p>Computes the one dimensional inverse discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.fft2"/><a class="reference internal" href="generated/torch.fft.fft2.html#torch.fft.fft2" title="torch.fft.fft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fft2</span></code></a></p></td>
<td><p>Computes the 2 dimensional discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ifft2"/><a class="reference internal" href="generated/torch.fft.ifft2.html#torch.fft.ifft2" title="torch.fft.ifft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifft2</span></code></a></p></td>
<td><p>Computes the 2 dimensional inverse discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.fftn"/><a class="reference internal" href="generated/torch.fft.fftn.html#torch.fft.fftn" title="torch.fft.fftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fftn</span></code></a></p></td>
<td><p>Computes the N dimensional discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ifftn"/><a class="reference internal" href="generated/torch.fft.ifftn.html#torch.fft.ifftn" title="torch.fft.ifftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifftn</span></code></a></p></td>
<td><p>Computes the N dimensional inverse discrete Fourier transform of <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.rfft"/><a class="reference internal" href="generated/torch.fft.rfft.html#torch.fft.rfft" title="torch.fft.rfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfft</span></code></a></p></td>
<td><p>Computes the one dimensional Fourier transform of real-valued <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.irfft"/><a class="reference internal" href="generated/torch.fft.irfft.html#torch.fft.irfft" title="torch.fft.irfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfft</span></code></a></p></td>
<td><p>Computes the inverse of <a class="reference internal" href="generated/torch.fft.rfft.html#torch.fft.rfft" title="torch.fft.rfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.rfft2"/><a class="reference internal" href="generated/torch.fft.rfft2.html#torch.fft.rfft2" title="torch.fft.rfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfft2</span></code></a></p></td>
<td><p>Computes the 2-dimensional discrete Fourier transform of real <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.irfft2"/><a class="reference internal" href="generated/torch.fft.irfft2.html#torch.fft.irfft2" title="torch.fft.irfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfft2</span></code></a></p></td>
<td><p>Computes the inverse of <a class="reference internal" href="generated/torch.fft.rfft2.html#torch.fft.rfft2" title="torch.fft.rfft2"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft2()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.rfftn"/><a class="reference internal" href="generated/torch.fft.rfftn.html#torch.fft.rfftn" title="torch.fft.rfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfftn</span></code></a></p></td>
<td><p>Computes the N-dimensional discrete Fourier transform of real <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.irfftn"/><a class="reference internal" href="generated/torch.fft.irfftn.html#torch.fft.irfftn" title="torch.fft.irfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">irfftn</span></code></a></p></td>
<td><p>Computes the inverse of <a class="reference internal" href="generated/torch.fft.rfftn.html#torch.fft.rfftn" title="torch.fft.rfftn"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfftn()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.hfft"/><a class="reference internal" href="generated/torch.fft.hfft.html#torch.fft.hfft" title="torch.fft.hfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hfft</span></code></a></p></td>
<td><p>Computes the one dimensional discrete Fourier transform of a Hermitian symmetric <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> signal.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ihfft"/><a class="reference internal" href="generated/torch.fft.ihfft.html#torch.fft.ihfft" title="torch.fft.ihfft"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ihfft</span></code></a></p></td>
<td><p>Computes the inverse of <a class="reference internal" href="generated/torch.fft.hfft.html#torch.fft.hfft" title="torch.fft.hfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">hfft()</span></code></a>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.hfft2"/><a class="reference internal" href="generated/torch.fft.hfft2.html#torch.fft.hfft2" title="torch.fft.hfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hfft2</span></code></a></p></td>
<td><p>Computes the 2-dimensional discrete Fourier transform of a Hermitian symmetric <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> signal.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ihfft2"/><a class="reference internal" href="generated/torch.fft.ihfft2.html#torch.fft.ihfft2" title="torch.fft.ihfft2"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ihfft2</span></code></a></p></td>
<td><p>Computes the 2-dimensional inverse discrete Fourier transform of real <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.hfftn"/><a class="reference internal" href="generated/torch.fft.hfftn.html#torch.fft.hfftn" title="torch.fft.hfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">hfftn</span></code></a></p></td>
<td><p>Computes the n-dimensional discrete Fourier transform of a Herimitian symmetric <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code> signal.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ihfftn"/><a class="reference internal" href="generated/torch.fft.ihfftn.html#torch.fft.ihfftn" title="torch.fft.ihfftn"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ihfftn</span></code></a></p></td>
<td><p>Computes the N-dimensional inverse discrete Fourier transform of real <code class="xref py py-attr docutils literal notranslate"><span class="pre">input</span></code>.</p></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="helper-functions">
<h2>Helper Functions<a class="headerlink" href="#helper-functions" title="Permalink to this headline">¶</a></h2>
<table class="longtable docutils colwidths-auto align-default">
<tbody>
<tr class="row-odd"><td><p><p id="torch.fft.fftfreq"/><a class="reference internal" href="generated/torch.fft.fftfreq.html#torch.fft.fftfreq" title="torch.fft.fftfreq"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fftfreq</span></code></a></p></td>
<td><p>Computes the discrete Fourier Transform sample frequencies for a signal of size <code class="xref py py-attr docutils literal notranslate"><span class="pre">n</span></code>.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.rfftfreq"/><a class="reference internal" href="generated/torch.fft.rfftfreq.html#torch.fft.rfftfreq" title="torch.fft.rfftfreq"><code class="xref py py-obj docutils literal notranslate"><span class="pre">rfftfreq</span></code></a></p></td>
<td><p>Computes the sample frequencies for <a class="reference internal" href="generated/torch.fft.rfft.html#torch.fft.rfft" title="torch.fft.rfft"><code class="xref py py-func docutils literal notranslate"><span class="pre">rfft()</span></code></a> with a signal of size <code class="xref py py-attr docutils literal notranslate"><span class="pre">n</span></code>.</p></td>
</tr>
<tr class="row-odd"><td><p><p id="torch.fft.fftshift"/><a class="reference internal" href="generated/torch.fft.fftshift.html#torch.fft.fftshift" title="torch.fft.fftshift"><code class="xref py py-obj docutils literal notranslate"><span class="pre">fftshift</span></code></a></p></td>
<td><p>Reorders n-dimensional FFT data, as provided by <a class="reference internal" href="generated/torch.fft.fftn.html#torch.fft.fftn" title="torch.fft.fftn"><code class="xref py py-func docutils literal notranslate"><span class="pre">fftn()</span></code></a>, to have negative frequency terms first.</p></td>
</tr>
<tr class="row-even"><td><p><p id="torch.fft.ifftshift"/><a class="reference internal" href="generated/torch.fft.ifftshift.html#torch.fft.ifftshift" title="torch.fft.ifftshift"><code class="xref py py-obj docutils literal notranslate"><span class="pre">ifftshift</span></code></a></p></td>
<td><p>Inverse of <a class="reference internal" href="generated/torch.fft.fftshift.html#torch.fft.fftshift" title="torch.fft.fftshift"><code class="xref py py-func docutils literal notranslate"><span class="pre">fftshift()</span></code></a>.</p></td>
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