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Matlab[fft] - compute the discrete Fourier transform of a vector in MATLAB(R)
Calling Sequence
fft(X)
fft(X, n)
Parameters
X
-
MapleMatrix or MatlabMatrix
n
(optional) integer
Description
The fft command uses MATLAB to compute the discrete Fourier transform of a vector, X.
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).
Executing the fft command returns a Vector.
Examples
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
The Fourier transform is computed as
[ 25. + 0. I ]
[ ]
[0.618033988749894901 - 1.90211303259030706 I ]
[-3.61803398874989490 + 4.97979656976556040 I ]
[-1.61803398874989490 + 1.17557050458494626 I ]
[-1.38196601125010509 + 0.449027976579585484 I]
[ -3. + 0. I ]
[-1.38196601125010509 - 0.449027976579585484 I]
[-1.61803398874989490 - 1.17557050458494626 I ]
[-3.61803398874989490 - 4.97979656976556040 I ]
[0.618033988749894901 + 1.90211303259030706 I ]
To obtain the fft of only the first two elements of v
[3. ]
[-1.]
See Also
DiscreteTransforms[FourierTransform], Matlab, Matlab[det], Matlab[evalM], Matlab[inv], MatlabMatrix
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