The Open Mathematics, Statistics and Probability Journal

2009, 1 : 55-64
Published online 2009 July 8. DOI: 10.2174/1876527000901010055
Publisher ID: TOSPJ-1-55

Given Correlation Manifolds and their Application in Blind Channel Identification

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

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.