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Introduction
Performance Analysis of Signed-Error CMA in the Presence of Noise
Andrew Klein
Date:
Spring, 1998
Introduction
System Model
The Constant Modulus Algorithm
CMA 2-2
SE-CMA (for real-valued source)
The SE-CMA Cost Function, Gradient, and Hessian
Simulation Results
Two-tap equalizer with four-tap channel and BPSK source
Two-tap equalizer with six-tap undermodeled channel and BPSK source
32-tap equalizer with 64-tap undermodeled channel and BPSK source
Two-tap equalizer with four-tap channel and 8-PAM source
More on the simulations. . .
Selection of
in the presence of noise
8-PAM with low SNR
8-PAM with undermodeled channel
Conclusion
References
MPEG Movie of the evolution of an SE-CMA cost surface with decreasing SNR
. The description of this movie is
here
.
The graphs in this report were created using the
BERGulator
and the following MATLAB scripts:
costsurf.m -- Generate cost contours for SE-CMA with 2-tap fractionally spaced equalizers
Supporting files:
Q.m
SEgamma.m
SEgamma_noisy.m
allpam.m
surfmin.m
pam.m
testchan -- Impulse response of 64-tap test channel used in section 3.3
Andrew Grant Klein
8/12/1998