Rank-deficient spectral factorization and wavelets completion problem

L. Ephremidze, Ilya Spitkovsky, E. Lagvilava

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number1550013
JournalInternational Journal of Wavelets, Multiresolution and Information Processing
Volume13
Issue number3
DOIs
StatePublished - Jan 1 2015

Fingerprint

Spectral Factorization
Completion Problem
Spectral Theorem
Factorization Theorem
Polynomial Matrices
Matrix Factorization
Factorization
Wavelets
Polynomials

Keywords

  • Fejér-Riesz lemma
  • Matrix spectral factorization
  • paraunitary matrix polynomials
  • wavelets completion problem

ASJC Scopus subject areas

  • Signal Processing
  • Information Systems
  • Applied Mathematics

Cite this

Rank-deficient spectral factorization and wavelets completion problem. / Ephremidze, L.; Spitkovsky, Ilya; Lagvilava, E.

In: International Journal of Wavelets, Multiresolution and Information Processing, Vol. 13, No. 3, 1550013, 01.01.2015.

Research output: Contribution to journalArticle

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