DFT converts a finite sequence of equally spaced samples of a function into an equivalent length sequence of equally spaced samples of DTFT (discrete time Fourier transform) which is a complex valued function.
It converts signal from time domain to frequency domain.It is used spectral signal analysis, data compression.
It converts signal from time domain to frequency domain.It is used spectral signal analysis, data compression.
The nature of the dft coeff after zero padding is such that for k= even, the values are same as that for N=4, and for K= odd the values get multiplied by twiddle factor.
ReplyDeleteDFT is obtained by sampling of DTFS
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ReplyDeleteDFT is frequency sampling of DTFT
ReplyDeleteThe complex multiplications and additions for the DFT are N^2 and N(N-1) respectively.
ReplyDeleteDiscrete version of DTFT
ReplyDeleteThis method is slow due to many complex multiplications and additions
ReplyDeleteDFT is slow
ReplyDeleteDft is slow as compared to fft
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