A NEW FIR SYSTEM-IDENTIFICATION METHOD BASED ON 4TH-ORDER CUMULANTS -APPLICATION TO BLIND EQUALIZATION

Recently, numerous Finite Impulse Response (FIR) system identification methods based on High Order Statistics (HOS) have been proposed in th e literature. These methods can be classified into three categories: c losed-form solutions, linear algebra solutions and nonlinear optimizat ion based solutions. Because of their simplicity, closed-form and line ar algebra solutions are the ones most used in practice. In this paper , we propose a new explicit solution based on fourth-order cumulants. Compared to existing closed-form solutions, the proposed solution uses more statistics and compared to linear algebra solutions it needs les s arithmetical operations. This solution is based on a Cholesky type d ecomposition of a positive: definite Hermitian matrix made up of fourt h-order cumulants. An efficient algorithm is given to estimate this ma trix: Then, the proposed FIR system identification method is applied t o estimate the impulse response (i.r.) Coefficients of a radio communi cation channel in order to ''open the eyes'' of the channel by minimiz ing the Mean-Square Error (MSE) criterion. The performance of the prop osed method is illustrated by some simulation results. Copyright (C) 1 996 Published by Elsevier Science Ltd