NDLI: New exponential-type approximations for the erfc(.) and $erfc^{p}(.)$ functions with applications

Content Provider	IEEE Xplore Digital Library
Author	Olabiyi, O. Annamalai, A.
Copyright Year	2012
Description	Author affiliation: Department of Electrical and Computer Engineering, Prairie View A&M University, Prairie View, TX 77446, United States of America (Olabiyi, O.; Annamalai, A.)
Abstract	In this article, we first develop very tight second and third-order exponential-type approximations for the Gaussian probability integral Q(.) and/or the complementary error function erfc(.) which are subsequently used to devise the conditional symbol error probability (CEP) formulas for several classes of digital modulation schemes that are both invertible and in a “desirable” exponential form. These invertible CEP formulas are of interest in the optimization of discrete-rate adaptive modulation designs and for computation of the symbol/bit error outage performance metric. We also present new non-invertible higher-order exponential-type approximations for the erfc(.) and $erfc^{p}(.)$ functions based on Gauss-Chebyshev quadrature method. Our analytical framework also facilitates the derivation of simple and tight closed-form approximation formulas for the average symbol error rate performance metric of both cooperative and non-cooperative diversity systems in conjunction with a wide range of digital modulation schemes over generalized fading channels via the moment generating function (MGF) approach. The accuracies of our closed-form approximations have been validated with that of the “exact” formulas in an integral form and via computer simulations.
Starting Page	1221
Ending Page	1226
File Size	395599
Page Count	6
File Format	PDF
ISBN	9781457713781
e-ISBN	9781457713798
DOI	10.1109/IWCMC.2012.6314381
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-08-27
Publisher Place	Cyprus
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fading adaptive modulation Accuracy Bit error rate Modulation moment generating function approach erfc(.) function Q(.) function Approximation methods Optimization bit error outage Signal to noise ratio
Content Type	Text
Resource Type	Article

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