Abstract
In this paper, we perform comparative analysis of several algorithms for signal processing in an antenna array used for determining multidimensional Gaussian complex signals with an a priori unknown spatial covariance matrix against the background of Gaussian noise. All the studied decision statistics are obtained on the basis of generalized likelihood ratio for arbitrary-size samples. Depending on the available a priori information on the received signal and noise, we consider three cases of noise background, namely, nonuniform noise over the antenna elements with unknown power, uniform noise with unknown power, and uniform noise with known (unit) power. To determine the threshold values of the decision statistics, their probability densities are expanded in a series in terms of orthogonal Jacobi polynomials. Detection curves are constructed for all considered cases on the basis of obtained thresholds. The obtained results are valid for short samples whose size is comparable with the number of elements in the receiving antenna.
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