D. Dembele et G. Favier, A NEW FIR SYSTEM-IDENTIFICATION METHOD BASED ON 4TH-ORDER CUMULANTS -APPLICATION TO BLIND EQUALIZATION, Journal of the Franklin Institute, 334B(1), 1997, pp. 117-133
Citations number
17
Categorie Soggetti
Mathematics,"Engineering, Mechanical","Engineering, Eletrical & Electronic","Robotics & Automatic Control
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