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Keywords

Non-Abelian Fourier transform, Polar form of a matrix, Irreducible representation, Irreducible character, Amplitude and phase response, G-Circulant matrix.

Abstract

In the context of the non-abelian Fourier transform, the natural extension of the amplitude and phase response to a convolution by a given filter mask are shown to be the polar decompositions of the Fourier transform matrices. A specific example regarding amplitude and phase response of a certain filter mask over the symmetric group S_3 is given.

abs_vol31-pp156-166.pdf (22 kB)
Abstract

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