%0 Journal Article %T Given Correlation Manifolds and their Application in Blind Channel Identification %A Oleg V. GoryachkinElena I. Erina %J The Open Statistics & Probability Journal %D 2009 %I %R 10.2174/1876527000901010055 %X 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. %U http://www.benthamscience.com/open/tospj/articles/V001/55TOSPJ.htm