GODARD BLIND EQUALIZER ERROR SURFACE CHARACTERISTICS - WHITE, ZERO-MEAN, BINARY SOURCE CASE

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 li near channel. Our results arise primarily from examination of the expr essions 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 procedures for initializing a gradient descent algorithm on this multimodal surfa ce in the equalizer parameter space.