T. Nguyen et Z. Ding, BLIND CMA BEAMFORMING FOR NARROW-BAND SIGNALS WITH MULTIPATH ARRIVALS, International journal of adaptive control and signal processing, 12(2), 1998, pp. 157-172
The constant modulus algorithm (CMA) is a popular and effective method
for blind adaptive beamforming in various wireless communication syst
ems. Traditionally, signals of arrival are considered to be independen
t However, multipath propagation in wireless systems often results in
several correlated signal arrivals. Because of multipath arrivals, CMA
beamformers cannot be expected to place nulls in the direction of all
interferers as assumed in some existing beamforming. In this paper, w
e present a simple convergence analysis of CMA under multipath correla
ted arrival signals. We propose two adaptation techniques based on CMA
to capture different source signals. One approach is to use an orthog
onal projection constraint on the beamformer parameters. The other app
roach relies on the independence of source signals and exploits a Gram
-Schmidt orthogonalization at the beamformer outputs. Both methods are
tested through computer simulations. (C) 1998 John Wiley & Sons, Ltd.