TY - JOUR
T1 - Godard blind equalizer error surface characteristics
T2 - White, zero‐mean, binary source case
AU - Johnson, C. Richard
AU - Anderson, Brian D.O.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
KW - blind adaptive equalization
KW - CMA algorithm
KW - Godard algorithm
KW - multimodal cost function stationary point analysis
UR - http://www.scopus.com/inward/record.url?scp=0029341604&partnerID=8YFLogxK
U2 - 10.1002/acs.4480090402
DO - 10.1002/acs.4480090402
M3 - Article
AN - SCOPUS:0029341604
SN - 0890-6327
VL - 9
SP - 301
EP - 324
JO - International Journal of Adaptive Control and Signal Processing
JF - International Journal of Adaptive Control and Signal Processing
IS - 4
ER -