Analysis of statistical characteristics of adaptive antenna array with independent reference-signal generation

The steady-state statistical characteristics of an adaptive antenna array whose weight-factor vector is adjusted by means of a least-mean-square algorithm are studied using a nonlinear inertialess transformation of the array output as a reference signal. The case of phase-shift keying of the desired signal with Gaussian interference and noise is examined. An optimal nonlinear reference-signal transformation is found for which mean-square error of signal estimation is minimized and the output signal-to-noise ratio is maximized. The theoretical results are confirmed by computer modeling.