Communications and Signal Processing Group
ECE department, UW-Madison




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Title: Deriving an FFT Algorithm via Group Representation Theory

Abstract: A self-contained lecture on the Discrete Fourier Transform and its relation to the time and frequency representations of a signal. By describing time-shift and frequency-shift operators with a structure known as the Heisenberg group, explicit steps can be given for producing an FFT algorithm. Pseudocode and programmable examples will be provided as a complement to the mathematics.

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