FFT:
An algorithm for fast computation 
of DFT is FFT(Fast Fourier Transform).The algorithm which we have 
implemented can only calculate FFT for signal length of 4 of Radix-2. 
The FFT algorithm divides the N-point DFT input signal into 2 parts-even
 and odd signal values of the input. The even signal values can be 
directly found out whereas the odd signal values is just multiplied by 
an appropriate twiddle factor which overall reduces the complex 
multiplications for FFT. This happens because the signal is divided into
 2 parts, so the computation is carried out only for N/2 signal values. 
This increases the speed of computations and makes FFT faster than other
 algorithms.
https://drive.google.com/drive/folders/0BwJUrR8ne7NkTlI5X2RvVTh6UEU
 
Number of computations are less in FFT than in DFT, which makes FFT faster.
ReplyDeleteFFT algorithms are implemented using parallel processing techniques. This is makes it faster
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