UDC 681.518.2, 681.514
ASYMPTOTIC OPTIMALITY OF ADAPTIVE SYSTEMS WITH ALTERNATIVE
STANDARDS IN UNCLASSIFIED LEARNING SITUATIONS
Abstract. The asymptotic optimality of adaptive systems with alternative standards, one of which corresponding to the class of radio engineering structures with an adaptive antenna array and the other to the class with an adaptive interference compensator, is investigated in an unclassified learning situation. The optimality is determined by the criterion of signal-to-interference ratio. The analytical expressions for evaluating the asymptotic optimality of radio engineering systems with alternative standards are obtained. The invariance of the system with an adaptive antenna array to any kind of training is proved, and the property of asymptotic optimality of the system is extended to the finite size of the training sample. The unbeddingness of the classification of the training sample at the input of a radio system with an adaptive interference compensator under conditions of signal-interference uncertainty is substantiated.
Keywords: asymptotic optimality, adaptive system, alternative standard, unclassified learning.
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