Scaling the time and Fourier domains to align periodically and their convolution

09/18/2023

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by   Matthew R. Flax, et al.

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This note shows how to align a periodic signal with its the Fourier transform by means of frequency or time scaling. This may be useful in developing new algorithms, e.g. for pitch estimation. This note also convolves the signals and the frequency time convolution is denoted fxt.