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The faces of Convolution: from the Fourier theory to algebraic signal processing

2023/07/16 by Ji, Feng, Tay, Wee Peng, Ortega, Antonio
#FOS: Electrical engineering #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2307.07926

Abstract

In this expository article, we provide a self-contained overview of the notion of convolution embedded in different theories: from the classical Fourier theory to the theory of algebraic signal processing. We discuss their relations and differences. Toward the end, we provide an opinion on whether there is a consistent approach to convolution that unifies seemingly different approaches by different theories.

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