MGF for gamma‐shadowed ricean fading channel

Abstract

The moment-generating function (MGF) of the received signal-to-noise ratio (SNR) is a convenient tool in the performance analysis of modulation schemes in fading channels. In this letter, we derive the MGF for gamma-shadowed Ricean fading channels under the assumption that the average power of the Ricean fading is characterised by a gamma distribution. The MGF is expressed in a series form. An application of the derived MGF for evaluating the average bit error probability (ABEP) for binary differential phase-shift keying (DPSK) is given. The exact expression for ABEP and the corresponding asymptotic expression (assuming large SNR) are derived and mutually compared. The computational efficiency is elaborated on. Special cases of the exact expression for ABEP agree with corresponding known results.

Gamma-Shadowed Two-Ray with Diffuse Power Composite Fading Model

“…6.561.16], one can prove that ∞ 0 p rc (x) dx = 1. It is also interesting to note that derived GS-TWDP envelope PDF expression for Γ = 0 reduces to a Gamma-shadowed Rician PDF given in [16], while for K = 0, GS-TWDP becomes Gamma-shadowed Rayleigh PDF. It also can be shown that in no-shadowing case obtained as m → ∞, PDF (9) reduces to TWDP PDF given in [22].…”

“…Among them, gamma is the most frequently employed, since it has computationally convenient form and provides similar fit to empirical data as lognormal PDF in many communication scenarios [9], [14]. So, to date, for varieties of multipath distributions, composite fading models such as Rayleigh-Gamma [15], Rice-Gamma [16], Nakagami-Gamma [8], κµ-Gamma [17] etc., are proposed by employing gamma PDF for modeling shadowing effect.…”