RESEARCH ARTICLE


Given Correlation Manifolds and their Application in Blind Channel Identification



Oleg V. Goryachkin*, Elena I. Erina*
Department of Theoretical Basis of Telecommunication and Radio engineering Systems, Volga State University of Telecommunications and Informatics, Samara, Russia.


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© 2009 Goryachkin et al.;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Theoretical Basis of Telecommunication and Radio engineering Systems, Volga State University of Telecommunications and Informatics, Samara, Russia. E-mail: gor@psati.ru and erina.elena@gmail.com


Abstract

This paper introduces the new objects named polynomial statistics. We discuss their properties and applicability to the problem of Blind Channel Identification which is a highly topical issue at the moment. This paper proposes a solution to this problem which is based on using polynomial representations of finite random sequence. Algorithms of Blind identification that was described in this paper use a factorization property of so-called given correlation manifolds.

Keywords: Blind channel identification, polynomial statistics, zero-correlation manifold, given correlation manifold..