NDLI: Analytic Expressions and Bounds for Special Functions and Applications in Communication Theory

Content Provider	IEEE Xplore Digital Library
Author	Sofotasios, P.C. Tsiftsis, T.A. Brychkov, Y.A. Freear, S. Valkama, M. Karagiannidis, G.K.
Copyright Year	1963
Abstract	This paper is devoted to the derivation of novel analytic expressions and bounds for a family of special functions that are useful in wireless communication theory. These functions are the well-known Nuttall Q-function, incomplete Toronto function, Rice Ie-function, and incomplete Lipschitz-Hankel integrals. Capitalizing on the offered results, useful identities are additionally derived between the above functions and Humbert, Φ₁, function as well as for specific cases of the Kampé de Fériet function. These functions can be considered as useful mathematical tools that can be employed in applications relating to the analytic performance evaluation of modern wireless communication systems, such as cognitive radio, cooperative, and free-space optical communications as well as radar, diversity, and multiantenna systems. As an example, new closed-form expressions are derived for the outage probability over nonlinear generalized fading channels, namely, α-η-μ, α-λ-μ, and α-κ-μ as well as for specific cases of the η-μ and λ-μ fading channels. Furthermore, simple expressions are presented for the channel capacity for the truncated channel inversion with fixed rate and corresponding optimum cutoff signal-to-noise ratio for single-antenna and multiantenna communication systems over Rician fading channels. The accuracy and validity of the derived expressions is justified through extensive comparisons with respective numerical results.
Sponsorship	IEEE Information Theory Society
Starting Page	7798
Ending Page	7823
Page Count	26
File Size	1612606
File Format	PDF
ISSN	00189448
Volume Number	60
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Wireless communication Upper bound Closed-form solutions Fading Educational institutions Approximation methods Finite wordlength effects truncated channel inversion Special functions wireless communication theory fading channels emerging wireless technologies multiantenna systems outage probability
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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