S. V. Petrov - Post-graduate Student, Leading Engineer, OAO "VNIIRT". E-mail: petrovsv@list.ru

In this paper we solve the problem of stochastic signal detection for multi-element antenna array, which is highly relevant in radarand other fields of science and technology. For practical applications, it is important to get a solution of this problem for the conditionswhen the values of some parameters are not known beforehand. The problem is solved for an arbitrary configuration of the antennaarray that receives the narrowband signal from an external source and the background noise of the antenna elements. Weconsider four cases, differing in the degree of a priori uncertainty about the direction of arrival (DOA) and noise power. The first case - the DOA and the noise power are known, the second case - unknown DOA and known noise power, the third case - known DOAand unknown noise power and the fourth case - unknown DOA and unknown noise power. For these cases, statistics based on thegeneralized likelihood ratio test are synthesized. For all statistics, analytical expressions for the probability of false alarm and true detectionare provided. The analytical results are compared with results of simulations. Comparison of characteristics of derived algorithmsshows that, as expected, with the increasing of a priori uncertainty quality of the detection falls.

 

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