bsuirДоклады БГУИРDoklady BGUIR1729-76482708-0382БГУИРbsuir-972Research ArticleСтатьиПРОСТОЙ МЕТОД РАСЧЕТА ВЕРОЯТНОСТИ ОШИБОК ПРИ ПЕРЕДАЧЕ ЦИФРОВЫХ СИГНАЛОВ ПО ОБОБЩЕННОМУ КАНАЛУ СВЯЗИSimple definition of error probability at binary signaling over generalized channelsТузлуковВ. П.TuzlukovV. P.slava.tuzlukov@mail.ruБелорусская государственная академия авиацииBelarusian state academy of aviation2018030620190298105Copyright © 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/972

В настоящей работе проводится исследование качественных характеристик, в частности, вероятности ошибок, при передаче цифровых сигналов по обобщенному каналу связи с замираниями, используя технологию суммирования дифференциально взвешенных сигналов каждого канала и оценивая параметры канала связи, искаженные помехами. Предполагается, что оценки параметров канала связи искажаются помехой, представляющей собой комплексную гауссовскую случайную величину. Выражение для среднего значения вероятности ошибок определяется в виде простого интеграла, подынтегральное выражение которого содержит производящую функцию моментов нормализованного отношения сигнал/помеха, соответствующую идеальному суммированию дифференциально взвешенных сигналов каждого канала. Примеры иллюстрируют эффективность полученного выражения для среднего значения вероятности ошибок при различных условиях и разных плотностях распределения вероятностей замираний в канале связи при возможной корреляции между разнесенными каналами приема сигналов.

The performance of binary signaling on generalized fading channels with maximal ratio combining (MRC) and imperfect channel estimates is studied. It is assumed that estimates of the communication channel parameters are distorted by interference, which is a complex Gaussian random variable. An expression for the average probability of error is provided in the form of a simple single integral which involves the moment generating function of the normalized signal-to-noise ratio corresponding to the case of ideal MRC. Various examples demonstrate the usefulness of the derived expression under various fading conditions with different distributions and with a possible correlation between the diversity branches.

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