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First look at stepping thru the Fast Fourier Transform (FFT) algorithm. Calculating/updating omega (w) Trace the Fast Fourier Transform (FFT) for input vector size 4. Translating between FFT and DFT. Using n=4 vector as concrete example. Introduction to divide and conquer Fast Fourier Transfer algorithm -- drawing analogy to merge sort. Matrix multiply to obtain Fourier Transform of (a0, a1, a2, a3). Computing the Fourier transform matrix. This video has been updated and was reposted at Also, my novel!
Finding the two 2nd (square) roots of unity. Finding the 4 4th roots of unity. FFT Evaluation on Polynomial At 7:16, I made a mistake, B(-1) is suppose to be 1, not -1. This means that A(i) = 1 + i A(-i) = 1 - i. This video describes the basic sine and cosine graphs and then talks about how they are transformed by expressions like ...
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Last Updated: June 6, 2026
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FFTAlgorithm1.mov
FFTAlgorithm2.mov
FFTandDFT.mov
FFTisDivideAndConquer.mov
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