Here is other people's tutorial of this topic
Everyone who need to understand this should take a look at the following documents
This blog : Understanding the FFT Algorithm
This website :Fast Fourier Transform (FFT)
Detailed work : Fast Fourier Transform for ETH Zürich
FFT & Inverse FFT : MATLAB based Fast Fourier Transform (FFT) & Inverse Fast Fourier Transform (IFFT) Calculation, Without Using fft & ifft inbuilt MATLAB function
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