Rank-deficient spectral factorization and wavelets completion problem-Reference-Cited by-同舟云学术

Rank-deficient spectral factorization and wavelets completion problem

Published:2015-05 Issue:03 Volume:13 Page:1550013
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Ephremidze L.¹,Spitkovsky I.¹²,Lagvilava E.³

Affiliation:

1. Division of Science and Mathematics, New York University Abu Dhabi (NYUAD), Saadiyat Island, P.O. Box 129188, Abu Dhabi, United Arab Emirates

2. Department of Mathematics, College of William and Mary, Williamsburg, VA 23187, USA

3. A. Razmadze Mathematical Institute, I. Javakhishvili State University, Tbilisi 0177, Georgia

Abstract

A simple constructive proof of polynomial matrix spectral factorization theorem is presented in the rank-deficient case. It is then used to provide an elementary solution to the wavelets completion problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691315500137

Reference28 articles.

1. A Simple Proof for a Spectral Factorization Theorem

2. On polynomial matrix spectral factorization by symmetric extraction

3. Ten Lectures on Wavelets

4. A simple approach to spectral factorization

5. Outer factorizations in one and several variables

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