Sparse representation of approximation to identity-Reference-Cited by-同舟云学术

Sparse representation of approximation to identity

Published:2021-11-24 Issue: Volume: Page:1-23
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

Qu Wei¹,Chui Charles K.²,Deng Guan-Tie³,Qian Tao⁴

Affiliation:

1. Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology, Beijing, P. R. China

2. Department of Statistics, Stanford University, Stanford, CA 94305, USA

3. School of Mathematical Sciences, Beijing Normal University, P. R. China

4. Macau Center for Mathematical Sciences, Macau University of Science and Technology, Macau

Abstract

The Dirac-[Formula: see text] distribution may be realized through sequences of convolutions, the latter being also regarded as approximation to the identity. This paper proposes the real form of pre-orthogonal adaptive Fourier decomposition (POAFD) method to realize fast approximation to the identity. It belongs to sparse representation of signals having potential applications in signal and image analysis.

Funder

Science and Technology Development Fund, Macau SAR

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530521500251

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