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710 lines
37 KiB
710 lines
37 KiB
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</div>
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</div><div id="types">
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<h2 class="fixed">Types in MathNet.Numerics.IntegralTransforms</h2>
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<div class="scroll">
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<ul>
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<li>
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<a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm" class="current">Fourier</a>
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</li>
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<li>
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<a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a>
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</li>
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<li>
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<a href="../MathNet.Numerics.IntegralTransforms/Hartley.htm">Hartley</a>
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<li>
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<a href="../MathNet.Numerics.IntegralTransforms/HartleyOptions.htm">HartleyOptions</a>
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</ul>
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</div>
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<div class="header">
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<p class="class"><strong>Type</strong> Fourier</p>
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<p><strong>Namespace</strong> MathNet.Numerics.IntegralTransforms</p>
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</div>
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<div class="sub-header">
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<div id="summary">Complex Fast (FFT) Implementation of the Discrete Fourier Transform (DFT).
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</div>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward">Forward</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward2D">Forward2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward2D">Forward2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Forward2D">Forward2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#ForwardMultiDim">ForwardMultiDim</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#ForwardMultiDim">ForwardMultiDim</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#ForwardReal">ForwardReal</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#ForwardReal">ForwardReal</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#FrequencyScale">FrequencyScale</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse">Inverse</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse2D">Inverse2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse2D">Inverse2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#Inverse2D">Inverse2D</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#InverseMultiDim">InverseMultiDim</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#InverseMultiDim">InverseMultiDim</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#InverseReal">InverseReal</a></li>
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<li><a href="../MathNet.Numerics.IntegralTransforms/Fourier.htm#InverseReal">InverseReal</a></li>
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</ul>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> samples)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> samples</h6>
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<p class="comments">Sample vector, where the FFT is evaluated in place. </p>
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</div>
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</div>
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</div>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> samples)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> samples</h6>
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<p class="comments">Sample vector, where the FFT is evaluated in place. </p>
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</div>
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</div>
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</div>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> samples, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> samples</h6>
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<p class="comments">Sample vector, where the FFT is evaluated in place. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> samples, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> samples</h6>
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<p class="comments">Sample vector, where the FFT is evaluated in place. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="System.Single[]">Single[]</span> real, <span title="System.Single[]">Single[]</span> imaginary, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Single[]">Single[]</span></code> real</h6>
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<p class="comments">Real part of the sample vector, where the FFT is evaluated in place. </p>
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<h6><code><span title="System.Single[]">Single[]</span></code> imaginary</h6>
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<p class="comments">Imaginary part of the sample vector, where the FFT is evaluated in place. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward" class="method">
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<h4><span title="System.void">void</span> <strong>Forward</strong>(<span title="System.Double[]">Double[]</span> real, <span title="System.Double[]">Double[]</span> imaginary, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Double[]">Double[]</span></code> real</h6>
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<p class="comments">Real part of the sample vector, where the FFT is evaluated in place. </p>
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<h6><code><span title="System.Double[]">Double[]</span></code> imaginary</h6>
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<p class="comments">Imaginary part of the sample vector, where the FFT is evaluated in place. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward2D" class="method">
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<h4><span title="System.void">void</span> <strong>Forward2D</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> samples, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to a two dimensional data in form of a matrix.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> samples</h6>
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<p class="comments">Sample matrix, where the FFT is evaluated in place </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward2D" class="method">
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<h4><span title="System.void">void</span> <strong>Forward2D</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> samplesRowWise, <span title="System.int">int</span> rows, <span title="System.int">int</span> columns, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to two dimensional sample data. <blockquote class="remarks">
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Data available organized column by column instead of row by row can be processed directly by swapping the rows and columns arguments.
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</blockquote>
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> samplesRowWise</h6>
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<p class="comments">Sample data, organized row by row, where the FFT is evaluated in place </p>
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<h6><code><span title="System.int">int</span></code> rows</h6>
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<p class="comments">The number of rows. </p>
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<h6><code><span title="System.int">int</span></code> columns</h6>
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<p class="comments">The number of columns. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="Forward2D" class="method">
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<h4><span title="System.void">void</span> <strong>Forward2D</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> samplesRowWise, <span title="System.int">int</span> rows, <span title="System.int">int</span> columns, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to two dimensional sample data. <blockquote class="remarks">
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Data available organized column by column instead of row by row can be processed directly by swapping the rows and columns arguments.
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</blockquote>
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> samplesRowWise</h6>
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<p class="comments">Sample data, organized row by row, where the FFT is evaluated in place </p>
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<h6><code><span title="System.int">int</span></code> rows</h6>
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<p class="comments">The number of rows. </p>
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<h6><code><span title="System.int">int</span></code> columns</h6>
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<p class="comments">The number of columns. </p>
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<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
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<p class="comments">Fourier Transform Convention Options. </p>
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</div>
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</div>
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</div>
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<div id="ForwardMultiDim" class="method">
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<h4><span title="System.void">void</span> <strong>ForwardMultiDim</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> samples, <span title="System.Int32[]">Int32[]</span> dimensions, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
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<div class="content">Applies the forward Fast Fourier Transform (FFT) to multiple dimensional sample data.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> samples</h6>
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<p class="comments">Sample data, where the FFT is evaluated in place. </p>
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<h6><code><span title="System.Int32[]">Int32[]</span></code> dimensions</h6>
|
|
<p class="comments">The data size per dimension. The first dimension is the major one.
|
|
For example, with two dimensions "rows" and "columns" the samples are assumed to be organized row by row. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="ForwardMultiDim" class="method">
|
|
<h4><span title="System.void">void</span> <strong>ForwardMultiDim</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> samples, <span title="System.Int32[]">Int32[]</span> dimensions, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the forward Fast Fourier Transform (FFT) to multiple dimensional sample data.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> samples</h6>
|
|
<p class="comments">Sample data, where the FFT is evaluated in place. </p>
|
|
<h6><code><span title="System.Int32[]">Int32[]</span></code> dimensions</h6>
|
|
<p class="comments">The data size per dimension. The first dimension is the major one.
|
|
For example, with two dimensions "rows" and "columns" the samples are assumed to be organized row by row. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="ForwardReal" class="method">
|
|
<h4><span title="System.void">void</span> <strong>ForwardReal</strong>(<span title="System.Double[]">Double[]</span> data, <span title="System.int">int</span> n, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Packed Real-Complex forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
|
|
Since for real-valued time samples the complex spectrum is conjugate-even (symmetry),
|
|
the spectrum can be fully reconstructed form the positive frequencies only (first half).
|
|
The data array needs to be N+2 (if N is even) or N+1 (if N is odd) long in order to support such a packed spectrum.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Double[]">Double[]</span></code> data</h6>
|
|
<p class="comments">Data array of length N+2 (if N is even) or N+1 (if N is odd). </p>
|
|
<h6><code><span title="System.int">int</span></code> n</h6>
|
|
<p class="comments">The number of samples. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="ForwardReal" class="method">
|
|
<h4><span title="System.void">void</span> <strong>ForwardReal</strong>(<span title="System.Single[]">Single[]</span> data, <span title="System.int">int</span> n, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Packed Real-Complex forward Fast Fourier Transform (FFT) to arbitrary-length sample vectors.
|
|
Since for real-valued time samples the complex spectrum is conjugate-even (symmetry),
|
|
the spectrum can be fully reconstructed from the positive frequencies only (first half).
|
|
The data array needs to be N+2 (if N is even) or N+1 (if N is odd) long in order to support such a packed spectrum.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Single[]">Single[]</span></code> data</h6>
|
|
<p class="comments">Data array of length N+2 (if N is even) or N+1 (if N is odd). </p>
|
|
<h6><code><span title="System.int">int</span></code> n</h6>
|
|
<p class="comments">The number of samples. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="FrequencyScale" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>FrequencyScale</strong>(<span title="System.int">int</span> length, <span title="System.double">double</span> sampleRate)</h4>
|
|
<div class="content">Generate the frequencies corresponding to each index in frequency space.
|
|
The frequency space has a resolution of sampleRate/N.
|
|
Index 0 corresponds to the DC part, the following indices correspond to
|
|
the positive frequencies up to the Nyquist frequency (sampleRate/2),
|
|
followed by the negative frequencies wrapped around.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.int">int</span></code> length</h6>
|
|
<p class="comments">Number of samples. </p>
|
|
<h6><code><span title="System.double">double</span></code> sampleRate</h6>
|
|
<p class="comments">The sampling rate of the time-space data. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="System.Double[]">Double[]</span> real, <span title="System.Double[]">Double[]</span> imaginary, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Double[]">Double[]</span></code> real</h6>
|
|
<p class="comments">Real part of the sample vector, where the iFFT is evaluated in place. </p>
|
|
<h6><code><span title="System.Double[]">Double[]</span></code> imaginary</h6>
|
|
<p class="comments">Imaginary part of the sample vector, where the iFFT is evaluated in place. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> spectrum, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> spectrum, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> spectrum)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> spectrum)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse</strong>(<span title="System.Single[]">Single[]</span> real, <span title="System.Single[]">Single[]</span> imaginary, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Single[]">Single[]</span></code> real</h6>
|
|
<p class="comments">Real part of the sample vector, where the iFFT is evaluated in place. </p>
|
|
<h6><code><span title="System.Single[]">Single[]</span></code> imaginary</h6>
|
|
<p class="comments">Imaginary part of the sample vector, where the iFFT is evaluated in place. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse2D" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse2D</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> spectrumRowWise, <span title="System.int">int</span> rows, <span title="System.int">int</span> columns, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to two dimensional sample data. <blockquote class="remarks">
|
|
Data available organized column by column instead of row by row can be processed directly by swapping the rows and columns arguments.
|
|
</blockquote>
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> spectrumRowWise</h6>
|
|
<p class="comments">Sample data, organized row by row, where the iFFT is evaluated in place </p>
|
|
<h6><code><span title="System.int">int</span></code> rows</h6>
|
|
<p class="comments">The number of rows. </p>
|
|
<h6><code><span title="System.int">int</span></code> columns</h6>
|
|
<p class="comments">The number of columns. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse2D" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse2D</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> spectrumRowWise, <span title="System.int">int</span> rows, <span title="System.int">int</span> columns, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to two dimensional sample data. <blockquote class="remarks">
|
|
Data available organized column by column instead of row by row can be processed directly by swapping the rows and columns arguments.
|
|
</blockquote>
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> spectrumRowWise</h6>
|
|
<p class="comments">Sample data, organized row by row, where the iFFT is evaluated in place </p>
|
|
<h6><code><span title="System.int">int</span></code> rows</h6>
|
|
<p class="comments">The number of rows. </p>
|
|
<h6><code><span title="System.int">int</span></code> columns</h6>
|
|
<p class="comments">The number of columns. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Inverse2D" class="method">
|
|
<h4><span title="System.void">void</span> <strong>Inverse2D</strong>(<a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a> spectrum, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to a two dimensional data in form of a matrix.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><a href="../MathNet.Numerics.LinearAlgebra/Matrix`1.htm">Matrix<T></a></code> spectrum</h6>
|
|
<p class="comments">Sample matrix, where the iFFT is evaluated in place </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="InverseMultiDim" class="method">
|
|
<h4><span title="System.void">void</span> <strong>InverseMultiDim</strong>(<span title="MathNet.Numerics.Complex32[]">Complex32[]</span> spectrum, <span title="System.Int32[]">Int32[]</span> dimensions, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to multiple dimensional sample data.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="MathNet.Numerics.Complex32[]">Complex32[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
<h6><code><span title="System.Int32[]">Int32[]</span></code> dimensions</h6>
|
|
<p class="comments">The data size per dimension. The first dimension is the major one.
|
|
For example, with two dimensions "rows" and "columns" the samples are assumed to be organized row by row. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="InverseMultiDim" class="method">
|
|
<h4><span title="System.void">void</span> <strong>InverseMultiDim</strong>(<span title="System.Numerics.Complex[]">Complex[]</span> spectrum, <span title="System.Int32[]">Int32[]</span> dimensions, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Applies the inverse Fast Fourier Transform (iFFT) to multiple dimensional sample data.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Numerics.Complex[]">Complex[]</span></code> spectrum</h6>
|
|
<p class="comments">Spectrum data, where the iFFT is evaluated in place. </p>
|
|
<h6><code><span title="System.Int32[]">Int32[]</span></code> dimensions</h6>
|
|
<p class="comments">The data size per dimension. The first dimension is the major one.
|
|
For example, with two dimensions "rows" and "columns" the samples are assumed to be organized row by row. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="InverseReal" class="method">
|
|
<h4><span title="System.void">void</span> <strong>InverseReal</strong>(<span title="System.Single[]">Single[]</span> data, <span title="System.int">int</span> n, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Packed Real-Complex inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
Since for real-valued time samples the complex spectrum is conjugate-even (symmetry),
|
|
the spectrum can be fully reconstructed form the positive frequencies only (first half).
|
|
The data array needs to be N+2 (if N is even) or N+1 (if N is odd) long in order to support such a packed spectrum.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Single[]">Single[]</span></code> data</h6>
|
|
<p class="comments">Data array of length N+2 (if N is even) or N+1 (if N is odd). </p>
|
|
<h6><code><span title="System.int">int</span></code> n</h6>
|
|
<p class="comments">The number of samples. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
<div id="InverseReal" class="method">
|
|
<h4><span title="System.void">void</span> <strong>InverseReal</strong>(<span title="System.Double[]">Double[]</span> data, <span title="System.int">int</span> n, <a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a> options)</h4>
|
|
<div class="content">Packed Real-Complex inverse Fast Fourier Transform (iFFT) to arbitrary-length sample vectors.
|
|
Since for real-valued time samples the complex spectrum is conjugate-even (symmetry),
|
|
the spectrum can be fully reconstructed form the positive frequencies only (first half).
|
|
The data array needs to be N+2 (if N is even) or N+1 (if N is odd) long in order to support such a packed spectrum.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Double[]">Double[]</span></code> data</h6>
|
|
<p class="comments">Data array of length N+2 (if N is even) or N+1 (if N is odd). </p>
|
|
<h6><code><span title="System.int">int</span></code> n</h6>
|
|
<p class="comments">The number of samples. </p>
|
|
<h6><code><a href="../MathNet.Numerics.IntegralTransforms/FourierOptions.htm">FourierOptions</a></code> options</h6>
|
|
<p class="comments">Fourier Transform Convention Options. </p>
|
|
</div>
|
|
|
|
|
|
</div>
|
|
</div>
|
|
|
|
|
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<div id="footer">
|
|
<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
|
|
<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
|
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</div>
|
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|
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</html>
|