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Fast Fourier transform derivation

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A Fast Fourier transform is an efficient algorithm to compute the discrete Fourier transform and inverse of dft

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DIGITAL SIGNAL PROCESSING

SEMINAR PRESENTATION


Radix -2 DIF Derivation




Presented by :
Dhanyaa.N (20TUEE013)

, Fast Fourier Transform FFT

- A fast Fourier transform (FFT) is an efficient algorithm to compute
the discrete Fourier transform (DFT) and inverse of DFT.

- There are many FFT algorithms which involves a wide range of
mathematics,. A Discrete Fourier transform decomposes a
sequence of values into components of different frequencies.

- This operation is very useful in many fields but computing it
directly from the definition is often too slow to be practical .

, Cont ..

• FFT are special algorithms for speedier implementation of DFT.

• FFT requires a smaller number of arithmetic operations such as
multiplications and additions than DFT.



• FFT also requires lesser computational time than DFT .

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