DFT being inherently slow, a faster, a better transform, FFT is used. The number of calculations required by FFT is in logarithmic form, hence a processor requires significantly less number of steps to perform a certain set of calculations. Due to this advantage, FFTs are used in signal processing.
Practical advantage of FFT over DFT is very well explained.
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DeleteFFT is preferred over DFT
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DeleteTrivial computations are avoided in this algorithm hence computations get reduced.
ReplyDeleteYes, also using decimation, computations can are reduced exponentially!
DeleteFFT is the most widely used transform.
ReplyDeleteYes it is since it is faster
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ReplyDeleteFFT uses parallel processing
ReplyDeleteAnd hence increases the efficiency of the system.
DeleteN/2logN base 2 complex multiplications are required
ReplyDeleteWhich is much less than DFT
DeleteNumber of calculations are reduced in FFT
ReplyDeleteHence, it is preferred.
DeleteFFT is not preferable for long sequence of input
ReplyDeleteSince it uses parallel input. For long sequence. Hardware requirement will be high.
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