Blind Channel Equalization and Phase Recovery Using Higher Order Statistics and Eigendecomposition

Ling CHEN  Hiroji KUSAKA  Masanobu KOMINAMI  

IEICE TRANSACTIONS on Communications   Vol.E82-B    No.7    pp.1048-1054
Publication Date: 1999/07/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Mobile Communication
blind equalization,  phase recovery,  higer order statistics,  cumulants,  eigendecomposition,  

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This study is aimed to explore a fast convergence method of blind equalization using higher order statistics (cumulants). The efforts are focused on deriving new theoretical solutions for blind equalizers rather than investigating practical algorithms. Under the common assumptions for this framework, it is found that the condition for blind equalization is directly associated with an eigenproblem, i. e. the lag coefficients of the equalizer can be obtained from the eigenvectors of a higher order statistics matrix. A method of blind phase recovery is also proposed for QAM systems. Computer simulations show that very fast convergence can be achieved based on the approach.