vestiftИзвестия Национальной академии наук Беларуси. Серия физико-технических наукProceedings of the National Academy of Sciences of Belarus. Physical-technical series1561-83582524-244XThe Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"vestift-351Research ArticleРАДИОЭЛЕКТРОНИКА И ПРИБОРОСТРОЕНИЕRADIOELECTRONICS AND INSTRUMENT-MAKINGЛИНЕЙНОЕ СУММИРОВАНИЕ СИГНАЛОВ РАВНОЙ МОЩНОСТИ, ПЕРЕДАВАЕМЫХ ПОСРЕДСТВОМ ОБОБЩЕННОГО КАНАЛА СВЯЗИ С ЗАМИРАНИЯМИEQUAL GAIN COMBINING OVER GENERALIZED FADING CHANNELSТузлуковВ. П.TuzlukovV. P.

доктор физико-математических наук, профессор, заведующий кафедрой технической эксплуатации авиационного и радиоэлектронного оборудования

ул. Уборевича, 77, 220096

D. Sc. (Physics and Mathematics), Professor, Head of the Department of Technical Maintenance of Aviation and Radio Electronic Equipment

77, Uborevich Str., 220096

slava.tuzlukov@mail.ruБелорусская государственная академия авиации, МинскBelarussian State Aviation Academy, Minsk201722012018048092Copyright © Тузлуков В.П., 20182018Тузлуков 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://vestift.belnauka.by/jour/article/view/351

Учитывая важность статистических моделей, используемых при описании канала связи с замираниями, подчиняющимися таким законам распределения, как Накагами-n (распределение Райса) и Накагами-q (рас- пределение Хойта), при рассмотрении наземных, мобильных и спутниковых телекоммуникационных систем, мы представляем альтернативный подход, основанный на моментных функциях, для анализа характеристик приемных устройств с линейным суммированием сигналов равной мощности, передаваемых посредством каналов связи с замираниями, которые являются независимыми, но необязательно идентично распределенными в соответствии с законами Райса и Хойта. Получены точные математические выражения для моментных функций отношения сигнал/помеха на выходе сумматора приемного устройства. Исследуются важные критерии характеристик приемнго устройства, такие как среднее отношение сигнал/помеха на выходе приемного устройства, степень замираний, спектральная эффективность в режиме сигналов малой мощности. Кроме того, используя рациональную аппроксимацию Паде, то есть наилучшую рациональную аппроксимацию степенного ряда, применительно к производящей функции моментов отношения сигнал/помеха на выходе приемного устройства, оцениваются средняя вероятность ошибок на символ и вероятность нарушения связи. Мы также исследуем соответствие моделирования замираний в канале связи, описываемых распределением Хойта, с помощью выбранной должным образом модели распределения Накагами-m при условии, что рассматривается помехозащищенность, или коэффициент ошибок приемного устройства при линейном суммировании сигналов равной мощности. 

We suggest the alternative approach based on definition of the moment generating function for the average signal-to-noise ratio (SNR) at the receiver output with the purpose to analyze performance of systems with equal gain combining over Nakagami-n (Rice) and Nakagami-q (Hoyt) fading channels under consideration of land, mobile and satellite telecommunication systems. We derive the exact closed-form mathematical expressions for average symbol error probability and outage probability using the Pade rational approximation to moment generating function of the SNR at the output of the combiner. We investigate the following important receiver performance such as the average SNR at the receiver output, fading, spectral effectiveness at weak input signals. Additionally, we study the rational Pade approximation of the moment generating function applying to the average SNR at the receiver output and evaluate bit error rate and the outage probability. Additionally, we investigate a possibility of modeling a Hoyt fading channel based on presentation Nakagami-m statistical model for evaluation of error performance under the use of equal gain combining technique. 

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