Description: The Fast Fourier Transform (FFT) is one of the
rudimentary operations in field of digital signal and image
processing. Some of the very vital applications of the fast
fourier transform include Signal analysis, Sound filtering, Data
compression, Partial differential equations, Multiplication of
large integers, Image filtering etc.Fast Fourier transform
(FFT) is an efficient implementation of the discrete Fourier
transform (DFT). This paper concentrates on the development
of the Fast Fourier Transform (FFT), based on Decimation-In-
Time (DIT) domain, Radix-2 algorithm, this paper uses VHDL
as a design entity, and their Synthesis by Xilinx Synthesis Tool
on Vertex kit has been done. The input of Fast Fourier
transform has been given by a PS2 KEYBOARD using a
testbench and output has been displayed using the waveforms
on the Xilinx Design Suite 12.1.The synthesis results show that
the computation for calculating the 32-point Fast Fourier
transform is efficient in terms of speed.
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