A general method for calculating error probabilities over fading channels

TitleA general method for calculating error probabilities over fading channels
Publication TypeConference Paper
Year of Publication2000
AuthorsAnnamalai, A., C. Tellambura, and V. K. Bhargava
Conference NameCommunications, 2000. ICC 2000. 2000 IEEE International Conference on
Pagination36 -40 vol.1
Keywordsaverage error rate analysis, characteristic function method, coherent communication systems, complementary incomplete Gamma function, conditional error probability, confluent hypergeometric function, differentially coherent communication systems, differentially noncoherent communication systems, diversity reception, equal-gain combining, error statistics, fading amplitudes, fading channels, hybrid diversity systems, maximal-ratio combining, modulation, modulation formats, multiple channel reception, outage performance, Parseval's theorem, predetection diversity techniques, selection diversity, single channel reception, switched diversity

This paper presents a general method for calculating the average error rates and outage performance of a broad class of coherent, differentially coherent and noncoherent communication systems with/without diversity reception in a myriad of fading environments. Unlike the moment generating function (MGF) technique, the proposed characteristic function (CHF) method based on Parseval's theorem enables us to unify the average error rate analysis of different modulation formats and all commonly used predetection diversity techniques (i.e., maximal-ratio combining (MR), equal-gain combining (EG), selection diversity (SD), switched diversity (SW) and hybrid diversity systems) in a single common framework. The CHF method also lends itself to the averaging of the conditional error probability (CEP) involving the complementary incomplete Gamma function and the confluent hypergeometric function over fading amplitudes, which heretofore resisted to a simple form. As an aside, we show previous results as special instances of our unified framework


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