Given Correlation Manifolds and their Application in Blind Channel Identification
Oleg V. Goryachkin*, Elena I. Erina*
Identifiers and Pagination:Year: 2009
First Page: 55
Last Page: 64
Publisher Id: TOSPJ-1-55
Article History:Received Date: 11/12/2008
Revision Received Date: 2/4/2009
Acceptance Date: 6/4/2009
Electronic publication date: 8/7/2009
Collection year: 2009
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.
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.