The faces of Convolution: from the Fourier theory to algebraic signal processing
Signal Processing
2023-07-18 v1
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.
Keywords
Cite
@article{arxiv.2307.07926,
title = {The faces of Convolution: from the Fourier theory to algebraic signal processing},
author = {Feng Ji and Wee Peng Tay and Antonio Ortega},
journal= {arXiv preprint arXiv:2307.07926},
year = {2023}
}