A generalized Mobius transform and arithmetic Fourier transforms

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A generalized Mobius transform and arithmetic Fourier transforms

A general approach to arithmetic Fourier transforms is developed. The implementation is based on the concept of killer polynomials and the solution of an arithmetic deconvolution problem pertaining to a generalized Mobius transform. This results in an extension of the Bruns procedure, valid for all prime numbers, and in an AFT that extracts directly the sine coefficients from the Fourier series.

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ژورنال

عنوان ژورنال: IEEE Transactions on Signal Processing

سال: 1994

ISSN: 1053-587X

DOI: 10.1109/78.330357