bsuirДоклады БГУИРDoklady BGUIR1729-76482708-0382БГУИРbsuir-1106Research ArticleЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКАELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICSОБРАБОТКА ОРТОГОНАЛЬНЫХ ЧАСТОТНО-УПЛОТНЕННЫХ СИГНАЛОВ, ПЕРЕДАВАЕМЫХ ПО КАНАЛАМ СВЯЗИ С ЗАМИРАНИЯМИProcessing of orthogonal frequency-compensated signals transmitted via communication channels with fadingТузлуковВ. П.TuzlukovV. P.

Тузлуков Вячеслав Петрович  - д.ф.-м.н., профессор, профессор кафедры инфокоммуникационных технологий

220114, г. Минск, ул. Ф. Скорины 8/2

тел. +375-44-549-35-17

Tuzlukov Vyacheslav Petrovich - D.Sci, professor, professor of information and communications department

220013, Minsk, F. Scorina st., 8/2

tel. +375-44-549-35-17

slava.tuzlukov@mail.ruБелорусская государственная академия связиBelarussian state academy of communications201904062019011118Copyright © Тузлуков В.П., 20192019Тузлуков В.П.Tuzlukov V.P.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.bsuir.by/jour/article/view/1106

В работе проводится математический анализ вероятностных характеристик сигналов, передаваемых по уплотненным каналам связи с ортогональным частотным разделением при наличии замираний в канале связи, подчиняющихся закону распределения Накагами-m. В отличие от предыдущих исследований в настоящей работе рассматривается воздействие неоднородного распределения фазы замираний в канале связи на вероятность ошибок приема сигналов. Представлено унифицированное математическое выражение производящей функции моментов для коэффициентов замираний в канале связи в частотной области, распределенных в соответствии с законом Накагами-m с неоднородными распределениями фазы. Таким образом, классические методы определения производящей функции моментов могут непосредственно использоваться для определения точного математического представления вероятности ошибки приема сигналов при различных видах модуляции и разнесении сигналов.

The mathematical analysis of the probabilistic characteristics of signals transmitted through compressed communication channels with orthogonal frequency separation in the presence of fading in the communication channel obeying the Nakagami-m distribution law is carried out in the paper. In contrast to previous studies, the effect of a non-uniform distribution of the fading phase in a communication channel on the probability of signal reception errors is examined. A unified mathematical expression of the generating function of moments is presented for the fading coefficients in the communication channel in the frequency domain, distributed in accordance with the Nakagami-m law with non-uniform phase distributions. Thus, the classical methods for determining the generating function of moments can be directly used to determine the exact mathematical representation of the probability of error receiving signals for various types of modulation and diversity of signals.

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The authors declare that there are no conflicts of interest present.