RT Journal Article
T1 Asymptotically Exact Approximations for the Symmetric Difference of Generalized Marcum-Q Functions
A1 López-Martínez, Francisco Javier
A1 Romero-Jerez, Juan Manuel
A1 López-Martínez, Francisco Javier
K1 Análisis funcional
AB In this paper, we derive two simple and asymptotically exact approximations for the function defined as ΔQm(a, b) =Δ Qm(a, b) - Qm(b, a). The generalized Marcum Q-function Qm(a, b) appears in many scenarios in communications in this particular form and is referred to as the symmetric difference of generalized Marcum Q-functions or the difference of generalized Marcum Q-functions with reversed arguments. We show that the symmetric difference of Marcum Q-functions can be expressed in terms of a single Gaussian Q-function for large and even moderate values of the arguments a and b. A second approximation for ΔQm(a, b) is also given in terms of the exponential function. We illustrate the applicability of these new approximations in different scenarios: 1) statistical characterization of Hoyt fading; 2) performance analysis of communication systems; 3) level crossing statistics of a sampled Rayleigh envelope; and 4) asymptotic approximation of the Rice Ie-function.
PB IEEE
SN 0018-9545
YR 2015
FD 2015
LK http://hdl.handle.net/10630/14395
UL http://hdl.handle.net/10630/14395
LA eng
NO F. J. Lopez-Martinez and J. M. Romero-Jerez, "Asymptotically Exact Approximations for the Symmetric Difference of Generalized Marcum $Q$-Functions," in IEEE Transactions on Vehicular Technology, vol. 64, no. 5, pp. 2154-2159, May 2015.
NO (c) 20xx IEEE. Personal use of this material is  permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. DOI: 10.1109/TVT.2014.2337263
NO Universidad de Málaga. Campus de Excelencia Internacional. Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 24 ene 2026