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For a signal x(n)=sin(2*pi*n/3) defined for n=0to7, evaluate the Fast Fourier Transform using signal flow graph....

For a signal x(n)=sin(2*pi*n/3) defined for n=0to7, evaluate the Fast Fourier Transform using signal flow graph. (Use decimation in frequency Algorithm)
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Answer #1

Steps for Radix – 2 DIF-FFT Algorithm :
1. The number of input samples give N = 2^M , M is an integer
2. The number of stages in the flow graph is M is = log of N to the base 2
4. Each stage consists of N/2 Each stage consists of N/2 butterflies butterflies as drawn in figure. The expression for twiddle factor and its exponent K is shown in Picture that I aploaded below.

Note : All the calculations must be done patiently inorder to get accurate answers. If any mistake happened in some stage it will reflect to next stages also.

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