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Closed‐form solutions to SEP integrals over generalized fading distributions η − μ and κ − μ using approximate computing
Author(s) -
Aggarwal Supriya
Publication year - 2019
Publication title -
international journal of communication systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 49
eISSN - 1099-1131
pISSN - 1074-5351
DOI - 10.1002/dac.4162
Subject(s) - fading , elementary function , computer science , exponential function , hypergeometric function , mathematics , gaussian , modulation (music) , special functions , algorithm , mathematical analysis , decoding methods , philosophy , physics , quantum mechanics , aesthetics
Summary The fading channels often involve complex expressions, when it comes to computing the integrals required for performance evaluation of various digital modulation schemes. In this paper, usefulness of exponential‐based approximations to the Gaussian‐ Q function in computing these integrals is discussed. We present generic symbol error probability (SEP) expressions over η − μ and κ − μ fading distributions, which can be tailored for any digital modulation technique using different approximations. The resulting expressions thus obtained comprise only elementary mathematical functions thereby avoiding complex evaluations of hypergeometric functions. We explore all the exponential‐based approximations proposed till date and conclude that apart from being mathematically simple, they also lead to accurate expressions for performance analysis of various digital modulation schemes.