Fast Fourier Transform and Inverse
Description
Calculate the Fast Fourier transform (FFT) and inverse Fast Fourier transform (iFFT) of an expression.
Define a 1-D vector.
Vector5,i→evalfexpI i3,datatype=complex8
0.944956946300000+0.327194696800000⁢I0.785887260800000+0.618369803100000⁢I0.540302305900000+0.841470984800000⁢I0.235237573600000+0.971937901300000⁢I−0.0957235483500000+0.995407957700000⁢I
Calculate the Fast Fourier transform of the vector.
DiscreteTransformsFourierTransform
1.07808016684065+1.67901037959404⁢I0.0427237444135178−0.741915464460826⁢I0.236451541814053−0.288930752602944⁢I0.323690442159333−0.0849440825829593⁢I0.432042072509868+0.168409503974922⁢I
Calculate the inverse Fast Fourier transform of the result.
DiscreteTransformsInverseFourierTransform,⁢inplace⁢=⁢true⁢
Commands Used
DiscreteTransforms[FourierTransform], DiscreteTransforms[InverseFourierTransform], Vector
See Also
DiscreteTransforms, SignalProcessing[FFT]
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