A Generalized Walsh System and Its Fast Algorithm
Abstract
In this paper, we propose a new class of discontinuous orthogonal system called Walsh-U system, which is composed of piecewise polynomials of degree null null knull null in Hilbert space null null L^{2}[0, 1]null . The Walsh-U system generalizes the Walsh system from piecewise constant to piecewise polynomials, which is capable of representing discontinuous signals. Besides, the basis functions of the Walsh-U system not only possess a more...
Paper Details
Title
A Generalized Walsh System and Its Fast Algorithm
Published Date
Jul 26, 2021
Volume
69
Pages
5222 - 5233
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