Tuesday, 25 April 2017

Fast Fourier Transform

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.

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.

9 comments:

  1. Fast Fourier transform is computationally more efficient as compared to that of DFT

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  2. FFT reduces the calculations hence increases the speed

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  3. FFT cannot be used for real time application dude to parallel processing

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  4. Number of computations in FFT is less than that of DFT. This makes FFT computationally faster.

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  5. This method is preferred over DFT.

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  6. FFT can solved using signal flow graphs

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  7. the signal is divided into 2 parts, so the computation is carried out only for N/2 signal values

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