Number of arithmetic calculations in Fast Fourier Transform is significantly less than that in Discrete Fourier Transform. Hence, Fast Fourier Transform is inevitably fasyer than Fast Fourier Transform.
https://drive.google.com/drive/folders/0BwvLoQVdPTK3Z1E4STd5MFJNUk0
https://drive.google.com/drive/folders/0BwvLoQVdPTK3Z1E4STd5MFJNUk0
FFT's importance derives from the fact that in signal processing and image processing it has made working in frequency domain equally computationally feasible as working in temporal or spatial domain.
ReplyDeleteNumber of computations required are less, thus speed increases.
ReplyDeleteN pt DFT is decomposed into two N/2 pt DFTs, N/2 pt DFT is decomposed into N/4 pt DFTs and so on. Decomposition reduces calculations.
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