Regularization of the Weight Vector of an Adaptive Antenna Array by Limiting the Number of the Basis Vectors

Abstract

We consider an adaptive antenna array, which ensures the maximum output ratio of the signal power to the average noise power. Two algorithms for the adaptive processing of the signal in the power-vector basis are proposed. For each algorithm, the regularized estimates of the weight vector are obtained using a limited number of input-process samples, which can be both greater and smaller (the short-sample case) than the number of array elements. The results of simulating the adaptive signal processing, which demonstrate a high signal-processing efficiency in the considered array, are presented.