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arXiv · 2307.07926

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

Feng Ji·Wee Peng Tay·Antonio Ortega
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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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Feng Ji, Wee Peng Tay, Antonio Ortega. 2023-07-16. The faces of Convolution: from the Fourier theory to algebraic signal processing. https://arxiv.org/abs/2307.07926

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