A. Mathur et al., CONVERGENCE PROPERTIES OF THE MULTISTAGE CONSTANT MODULUS ARRAY FOR CORRELATED SOURCES, IEEE transactions on signal processing, 45(1), 1997, pp. 280-286
A steady-state analysis of the multistage constant modulus (CM) array
is presented for the case of correlated source signals. Using a Wiener
model for the converged adaptive algorithms, it is demonstrated that
because of the cascade structure, signal cross-correlation causes ''ph
antom'' sources to be present. The resulting signal leakage in the ada
ptive cancellers between stages causes an increase in the minimum mean
-square error. A parallel implementation that overcomes this loss in p
erformance is described; it requires an initialization strategy to ens
ure that each stage captures a different source. Computer simulations
are presented to illustrate the convergence properties of the cascade
and parallel CM array systems and to verify the theoretical results.