Skachkov V.V., Chepkii V.V., Yefymchykov O.M., Nabok V.K., Yelchaninov O.D.
Asymptotic optimality of adaptive systems with alternative standards in unclassified learning situations

The asymptotic optimality of adaptive systems with alternative standards, one of which corresponds to the class of radio engineering structures with an adaptive antenna array, and the other one 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. © 2023, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: adaptive system, alternative standard, asymptotic optimality, unclassified learning, Sampling, Smart antennas, Alternative standard, Analytical expressions, Asymptotic optimality, Engineering structures, Learning situation, Radio engineering, Signal-to-interference ratio, Training sample, Unclassified learning, Adaptive systems

Cite:
Skachkov V.V., Chepkii V.V., Yefymchykov O.M., Nabok V.K., Yelchaninov O.D. (2023). Asymptotic optimality of adaptive systems with alternative standards in unclassified learning situations. Cybernetics and Systems Analysis, 59 (4), 129–138. doi: https://doi.org/10.1007/s10559-023-00597-9 http://jnas.nbuv.gov.ua/article/UJRN-0001415730 [In Ukrainian].