bsuirДоклады БГУИРDoklady BGUIR1729-76482708-0382БГУИР10.35596/1729-7648-2019-126-8-13-21bsuir-2391Research ArticleЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКАELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICSРАЗНЕСЕННЫЙ ПРИЕМ СИГНАЛОВ ПРИ НАЛИЧИИ ЗАМИРАНИЙ ВЕЙБУЛЛА В КАНАЛАХ СВЯЗИDIVERSITY SIGNAL PROCESSING OVER WEIBULL FADING CHANNELSТузлуковВ. П.TuzlukovV. P.

Тузлуков Вячеслав Петрович, д.ф.-м.н., профессор, заведующий кафедрой технической эксплуатации авиационного и радиоэлектронного оборудования

220096, г. Минск, ул. Уборевича, д. 77

Tuzlukov Vyacheslav Petrovich, D.Sci, Professor, Head of Deparment of Technical Maintenance of Aviation and Radio Electronic Equipment

220096, Minsk, Uborevich st., 77

slava.tuzlukov@mail.ruБелорусская государственная академия авиацииBelarussian State Aviation Academy20192812201907-81321Copyright © 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/2391

Целью настоящей работы является рассмотрение характеристик L-канальных EGC и MRC приемников с линейным суммированием сигналов равной мощности и суммированием дифференциально взвешенных сигналов каждого канала при наличии независимых, не обязательно идентично распределенных, и коррелированных замираний Вейбулла в канале связи при разнесенном приеме сигналов, основанное на определении моментов высокого порядка для случайных параметров, а также определение среднего значения сигнал/помеха на выходе приемника, степени замирания, спектральной эффективности в области слабых сигналов, вероятности отказа и средней вероятности ошибок на символ как для когерентных, так и для некогерентных схем модуляции сигнала. Исследование проводилось на основе метода определения производящей функции моментов отношения сигнал/помеха и аппроксимации Паде. В рассматриваемой модели беспроводной системы связи и каналах предполагается, что помехи во входных каналах приемника не зависят от сигнала и некоррелированные между собой, а параметры канала связи мeдленно изменяются во времени, так что фаза сигнала может быть определена без затруднений. Результатом проведенных исследований является определение средней вероятности ошибки на символ для 2-канальных EGC и MRC приемников при коррелированных замираниях Вейбулла. Результаты компьютерного моделирования представлены для сравнения с численными результатами с целью определения точности предлагаемой аппроксимации Паде, демонстрируют высокую степень совпадения и подтверждают достоверность и точность предлагаемого теоретического подхода.

We present a moments-based approach to the performance analysis of L-branch equal-gain combining and maximal-ratio combining receivers, operating in independent or correlated, not necessarily identically distributed, Weibull fading. For both equal-gain combining and maximal-ratio combining receivers the moments of the output signal-to-noise ratio are obtained in closed-form. An accurate approximate expression is derived for the moment-generating function of the output signal-to-noise ratio of the equal-gain combining receiver utilizing the Padé approximants theory, while a closed-form expression for the corresponding MGF of the maximal-ratio combining receiver, is obtained. Significant performance criteria, such as average output signal-to-noise ratio, amount of fading and spectral efficiency at the low power regime, are extracted in closed-forms, using the moments of the output signal-to-noise ratio for both independent and correlative fading. Moreover, using the well-known moment-generating function approach, the outage and the average symbol error probability for several coherent, non-coherent, binary, and multilevel modulation schemes, are studied. The average symbol error probability of dual-branch equal-gain combining and maximal-ratio combining receivers is also obtained when correlative fading is considered in the diversity input branches. The proposed mathematical analysis is illustrated by various numerical results and validated by computer simulations.

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