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Numerical comparison of different algorithms for construction of wavelet matrices

  • Nika Salia
  • , Alexander Gamkrelidze
  • , Lasha Ephremidze

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Wavelets have found beneficial applicability in various aspects of wireless communication systems design, including channel modeling, transceiver design, data representation, data compression, source and channel coding, interference mitigation, signal denoising and energy efficient networking. Factorization of compact wavelet matrices into primitive ones has been known for more than 20 years. This method makes it possible to generate wavelet matrix coefficients and also to specify them by their first row. Recently, a new parametrization of compact wavelet matrices of the same order and degree has been introduced by the last author. This method also enables us to fulfill the above mentioned tasks of matrix constructions. In the present paper, we briefly describe the corresponding algorithms based on two different methods, and numerically compare their performance.

Original languageEnglish
Title of host publication2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013
Pages177-180
Number of pages4
DOIs
StatePublished - 2013
Externally publishedYes

Publication series

Name2013 1st International Black Sea Conference on Communications and Networking, BlackSeaCom 2013

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 7 - Affordable and Clean Energy
    SDG 7 Affordable and Clean Energy

Keywords

  • paraunitary matrix polynomials
  • wavelet matrices
  • wavelet matrix completion algorithm

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Ocean Engineering

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