Fast Fourier Transform is an algorithm used to compute Discrete Fourier Transform of a sequence. An FFT rapidly computes transformations by factorising the DFT matrix into a product of a sparse factors. As a result the complexity of the computation is reduced.
In this experiment the FFT algorithm was applied to a 4 point and an 8 point sequence. The code was modified to calculate the number of real multiplications and real additions.
In this experiment the FFT algorithm was applied to a 4 point and an 8 point sequence. The code was modified to calculate the number of real multiplications and real additions.
Why is FFT preferred over DFT in practical applications?
ReplyDeleteFFT is preferred over DFT because it is computationally faster.
DeleteFFT uses Parallel processing
ReplyDeleteFast Fourier transforms are widely used for many applications in engineering, science, and mathematics
ReplyDeleteprecise
ReplyDeleteNumber of computations in FFT is less than that of DFT. This makes FFT computationally faster.
ReplyDeleteWell wriiten and nice explanation
ReplyDeleteParallel processing and less number of computations makes FFT better than DFT.
ReplyDelete