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PDF Design and Implementation of 8 point FFT using Verilog HDL

This paper deals with the designing of an 8 point FFT using radix-2 DIT FFT algorithm This 8 point FFT design is implemented using Verilog HDL in Xilinx ISE 

PDF IMPLEMENTATION OF THE FAST FOURIER TRANSFORM

In this section we detail each portion of the FFT code in snippets The FFT is coded in behavioral Verilog Vivado ISE's® simulation tool was utilized to 

  • What is FFT briefly?

    A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).
    Fourier analysis converts a signal from its original domain (often time or space) to a representation in the frequency domain and vice versa.

  • What is the FFT implementation using Verilog?

    The Verilog implementation of FFT which includes complex numbers addition and multiplication due to twiddle factor.
    It is an efficient and fast method which requires less computations and produces output in short time.

  • What is the FFT of an array in Matlab?

    If X is a matrix, then fft(X) treats the columns of X as vectors and returns the Fourier transform of each column.
    If X is a multidimensional array, then fft(X) treats the values along the first array dimension whose size does not equal 1 as vectors and returns the Fourier transform of each vector.

  • Compute the Fourier transform of the signal, and create the vector f that corresponds to the signal's sampling in frequency space. y = fft(x); fs = 1/Ts; f = (0:length(y)-1)*fs/length(y);

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