Abstract

A new, improved version of the arithmetic Fourier transform algorithm is presented. This algorithm computes the Fourier coefficients of continuous-time signals by using the number-theoretic technique of Mobius inversion. The improved algorithm can calculate all the Fourier coefficients including the dc component. It also requires a smaller number of delays and arithmetic operations than the standard arithmetic Fourier transform algorithm.

© 1991 Optical Society of America

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