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A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) ... In the presence of round-off error, many FFT algorithms are much more accurate than evaluating the DFT definition directly or indirectly. ... constants have bounded magnitudes (which is true for most but not all FFT algorithms).
For example, an FFT of size 32 is broken into 2 FFTs of size 16, which are broken into ... In cases where N is small this ratio is not very significant, but when N ... In this case, you break a non-prime size down into its prime factors, and do an FFT ...
For example, if X is a matrix, then fft(X,n,2) returns the n-point Fourier ... The amplitudes are not exactly at 0.7 and 1, as expected, because of the added noise.
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The inputs and outputs for the complex FFT routines are packed arrays of ... this computation is a one-off overhead which does not affect the final throughput.
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Now we write down the z-transform formula: ... and the z-transform exists otherwise the summation diverges and we say that the z-transform does not exist.
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