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Matlab[fft] - compute the discrete Fourier transform of a vector in MATLAB(R)
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Calling Sequence
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fft(X)
fft(X, n)
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Parameters
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X
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MapleMatrix or MatlabMatrix
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n
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(optional) integer
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Description
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The fft command uses MATLAB to compute the discrete Fourier transform of a vector, X.
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If the optional parameter n is specified, then only the first n elements of vector X are used in the computation. If X has fewer than n elements, the missing elements are replaced with zeros (that is, X is padded with zeros up to the value of n).
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Executing the fft command returns a Vector.
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Examples
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To see the result of the MATLAB calls, copy the examples to a worksheet and execute them. For help setting up MATLAB to work with Maple, see Matlab[setup].
Define the Maple matrix
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](/support/helpjp/helpview.aspx?si=7567/file02391/math97.png)
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The Fourier transform is computed as
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](/support/helpjp/helpview.aspx?si=7567/file02391/math103.png)
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[ 25. + 0. I ]
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[ ]
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[0.618033988749894901 - 1.90211303259030706 I ]
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[ ]
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[-3.61803398874989490 + 4.97979656976556040 I ]
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[ ]
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[-1.61803398874989490 + 1.17557050458494626 I ]
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[ ]
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[-1.38196601125010509 + 0.449027976579585484 I]
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[ ]
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[ -3. + 0. I ]
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[ ]
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[-1.38196601125010509 - 0.449027976579585484 I]
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[ ]
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[-1.61803398874989490 - 1.17557050458494626 I ]
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[ ]
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[-3.61803398874989490 - 4.97979656976556040 I ]
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[ ]
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[0.618033988749894901 + 1.90211303259030706 I ]
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To obtain the fft of only the first two elements of v
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](/support/helpjp/helpview.aspx?si=7567/file02391/math189.png)
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Download Help Document
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