Godard blind equalizer error surface characteristics: White, zero‐mean, binary source case

1 July 1995

journal article
research article
Published by Wiley in International Journal of Adaptive Control and Signal Processing

Vol. 9 (4) , 301-324
https://doi.org/10.1002/acs.4480090402

Abstract

We study the Godard/CMA error surface in adapting the impulse response coefficients of a finite‐length, tapped‐delay‐line filter to equalize a white, zero‐mean, binary (± 1) source that suffers ISI due to a linear channel. Our results arise primarily from examination of the expressions for the gradient and the Hessian in the baud‐spaced equalizer parameter space of the cost‐function in this particular setting. This paper presents results useful in topological assessment of predures for initializing a gradient descent algorithm on this multimodal surface in the equalizer parameter space.

Keywords

This publication has 11 references indexed in Scilit:

On the whereabouts of local minima for blind adaptive equalizers
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1992
On the (non)existence of undesirable equilibria of Godard blind equalizers
IEEE Transactions on Signal Processing, 1992
Ill-convergence of Godard blind equalizers in data communication systems
IEEE Transactions on Communications, 1991
Admissibility in blind adaptive channel equalization
IEEE Control Systems, 1991
New criteria for blind deconvolution of nonminimum phase systems (channels)
IEEE Transactions on Information Theory, 1990
Averaging analysis of local stability of a real constant modulus algorithm adaptive filter
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
Equalizing Without Altering or Detecting Data
AT&T Technical Journal, 1985
A new approach to multipath correction of constant modulus signals
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
Analysis of Decision-Directed Equalizer Convergence
Bell System Technical Journal, 1980
Self-Recovering Equalization and Carrier Tracking in Two-Dimensional Data Communication Systems
IEEE Transactions on Communications, 1980