Blind equalisation of multilevel PAM data for nonminimum phase channels via second- and fourth-order cumulants

Zheng, F.-C., McLaughlin, S. and Mulgrew, B. (1993) Blind equalisation of multilevel PAM data for nonminimum phase channels via second- and fourth-order cumulants. Signal Processing, 31 (3). pp. 313-327. ISSN 0165-1684 doi: 10.1016/0165-1684(93)90089-S

Abstract/Summary

This paper introduces a new blind equalisation algorithm for the pulse amplitude modulation (PAM) data transmitted through nonminimum phase (NMP) channels. The algorithm itself is based on a noncausal AR model of communication channels and the second- and fourth-order cumulants of the received data series, where only the diagonal slices of cumulants are used. The AR parameters are adjusted at each sample by using a successive over-relaxation (SOR) scheme, a variety of the ordinary LMS scheme, but with a faster convergence rate and a greater robustness to the selection of the ‘step-size’ in iterations. Computer simulations are implemented for both linear time-invariant (LTI) and linear time-variant (LTV) NMP channels, and the results show that the algorithm proposed in this paper has a fast convergence rate and a potential capability to track the LTV NMP channels.