MATHEMATICAL MODELING

Upper bound of probability of receiving error of aperiodic pseudo-random sequence at jamming

I. M. Azhmukhamedov, E. V. Melnikov

Astrakhan State University, Astrakhan, Russian Federation

Abstract: The article discusses the obtained estimate of the upper bounds for the probable receiving error of the synchronizing sequence during sensor phasing of aperiodic pseudo-random sequences (CRR) in broadband communication systems in the channels of low quality with strong disturbances of natural and organized structure. The obtained results allow to design synchronization systems of pseudo-random sequences for the worst case, which guarantees their reliable operation in low-quality channels, and, unlike the well-known methods, the estimation of synchronization of aperiodic pseudo-random sequence sensors doesn't depend on the error distribution in the communication channel and the period of sequence. The appointed differences simplify the evaluation of synchronization in the operation of broadband communication systems in low-quality channels.

Keywords: aperiodic pseudo-random sequence, broadband communication systems, jamming, test cut, synchronization, Bernstein inequality.

UDC: 681.327.8

Received: 03.09.2019

DOI: 10.24143/2072-9502-2020-1-64-72