NDLI: Lower and upper bounds for the generalized Marcum and Nuttall Q-functions

Content Provider	IEEE Xplore Digital Library
Author	Mihos, S.K. Kapinas, V.M. Karagiannidis, G.K.
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki, Thessaloniki (Mihos, S.K.; Kapinas, V.M.; Karagiannidis, G.K.)
Abstract	Monotonicity criteria are established for the generalized Marcum Q-function $Q_{M}$ (alpha, beta) and the standard Nuttall Q-function $Q_{M,N}$ (alpha, beta). Specifically, we present that $Q_{M}$ (alpha, beta) is monotonically increasing with regard to its order M, for all ranges of the parameters alpha, beta, whereas $Q_{M,N}$ (alpha, beta) possesses analogous monotonicity behavior with respect to M + N, under the assumptions of a ges 1 and constant difference M mnplus N ges 1. For the normalized Nuttall Q-function $Q_{M,N}$ (alpha, beta), we also state the same monotonicity criterion without the necessity of restricting the range of the parameter alpha. By exploiting these results, we propose closed-form upper and lower bounds for the standard and normalized Nuttall Q-functions, which for the latter case seem to be very tight. Furthermore, concerning the generalized Marcum Q-function, specific tight upper and lower bounds, that have already been proposed in the literature for the case of integer M, are appropriately utilized in order to extend its validity over real values of M. The offered theoretical results can be efficiently applied in the study of digital communications over fading channels, the capacity analysis of multiple-input multiple-output (MIMO) channels and the decoding of turbo or low-density parity-check (LDPC) codes.
Starting Page	736
Ending Page	739
File Size	134122
Page Count	4
File Format	PDF
ISBN	9781424416523
DOI	10.1109/ISWPC.2008.4556307
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-05-07
Publisher Place	Greece
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Upper bound Random variables Digital communication Fading Parity check codes Radar detection Radar theory Distribution functions Channel capacity Capacity planning
Content Type	Text
Resource Type	Article

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