FFT is similar to the DFT Algorithm since it is also the frequency domain representation of a signal but FFT is a fast algorithm and hence produces fast results. Cooley-Tukey Algorithm for FFT breaks a DFT signal into many similar DFTs .This reduces the computations that is why it is a fast algorithm.
The simple computations like trivial operations like multiplication by 1 are avoided producing fast results.
The simple computations like trivial operations like multiplication by 1 are avoided producing fast results.
Good explanation for FFT being faster than DFT
ReplyDeleteReason for fast calculation in fft is well explained
ReplyDeleteGood explanation
ReplyDeleteFFT is a big milestone in the history of signal processing and it lead to more faster adaptation of digital signal processing.
ReplyDeleteFFT uses a simple property of sine and cosine waveforms to reduce calculations. For a good understanding of how it works please refer the link below.
ReplyDeleteLink: http://www.earlevel.com/main/2002/08/31/a-gentle-introduction-to-the-fft/
fft is faster than dft
ReplyDeletewell written
ReplyDeleteFFT uses decimation thus significantly reducing the computations.
ReplyDeleteFFTs cannot be used for real time signals because a real time signal won't be available as a whole at the same time at the system's input. That means no parallel processing which totally beats the point of using FFT
ReplyDelete