GMSK Modulation over Weibull Fading Channels and its Impact on the Effective Transport Capacity of Ad Hoc Wireless Networks

Abstract

This paper derives a bit-error probability expression for the differential detection of Gaussian minimum shift keying (GMSK) signals with post-detection equal gain combining (EGC) in additive white Gaussian noise and slow frequency-nonselective independent not necessary identical Weibull fading channels, in which the diversity branches can have unequal signal-to-noise ratios (SNRs) as well as different severity parameters beta. Also, this paper studies the impact of this communication system on the effective transport capacity of wireless ad hoc networks when the nodes in the networks are distributed hexagonally. The derived expressions can be easily computed via numerical integration routines.