Statistical characteristics of adaptive antenna arrays under conditions of reception of wide band signals

Abstract

We present the results of statistical analysis of adaptive antenna arrays receiving wideband signals with allowance for the weight-vector fluctuations. Expressions for the correlation function of the array output signal are given in cases where the antenna arrays are adjusted by the discrete gradient algorithm with constraints, algorithm of recurrent inversion of the sample estimate of the input-signal correlation matrix, and Hebb’s algorithm. It is shown that the widebandness condition leads to the appearance of an additional factor in the formulas for statistical characteristics of adaptive antenna arrays, which distorts their output signals.