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Inside the FFT Black Box Serial and Parallel Fast Fourier Transform Algorithms

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      Author: Baturi   |   23 January 2021   |   : 0

Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms By Eleanor Chu, Alan George
1999 | 308 Pages | ISBN: 0849302706 | PDF | 7 MB
Personally, I am satisfied with what I bought. I wrote an uninspired fast fourier transform from its mathematical formula and it took 30 seconds to execute. I knew I could do better. After buying the book I learn to play close attention to the bit reversal on the twiddles (trig functions). I also learned how to do the split-radix. I also learned that each calculation yields two terms. Also, I gained emough of a sense of how the fft works that I was able to successfully create threads and try parallel processing. All totalled, I reduced the run time from 30 seconds to 1 second.The book was not as well written as I would have liked. The formula for the split-radix was screwed up. Using the form of the formula and the suggestion of what it represented I was able to derive the formula. It would have been nice if they had written out each term of each iteration for a 64-term fft. That is what I did to see with my own eyes what was happening. The text is too abstract.All-in-all it was worth the $100.

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