RT Journal Article
T1 Generalized MGF of Beckmann Fading with Applications to Wireless Communications Performance Analysis
A1 Peña-Martín, Juan Pedro
A1 Romero-Jerez, Juan Manuel
A1 López-Martínez, Francisco Javier
K1 Modulación (Electrónica)
AB The Beckmann distribution is a general multipath fading model for the received radio signal in the presence of a large number of scatterers, which can thence be modeled as a complex Gaussian random variable where both the in-phase and quadrature components have arbitrary mean and variance. However, the complicated nature of this distribution has prevented its widespread use and relatively few analytical results have been reported for this otherwise useful fading model. In this paper, we derive a closed-form expression for the generalized moment-generating function (MGF) of the signal-to-noise ratio (SNR) of Beckmann fading, which permits to circumvent the inherent analytical complexity of this model. This is a new and useful result, as it is key for evaluating several important performance metrics of different wireless communication systems and also permits to readily compute the moments of the output SNR. Thus, we obtain simple exact expressions for the energy detection performance in Beckmann fading channels, both in terms of the receiver operating characteristic (ROC) curve and of the area under ROC curve. We also analyze the outage probability in interference limited systems affected by Beckmann fading, as well as the outage probability of secrecy capacity in wiretap Beckmann fading channels. Monte Carlo simulations have been performed to validate the derived expressions.
PB IEEE Transaction on Communications
SN 0090-6778
YR 2017
FD 2017
LK http://hdl.handle.net/10630/13877
UL http://hdl.handle.net/10630/13877
LA eng
NO IEEE Transactions on Communications ( Volume: PP, Issue: 99, 2017 )
NO Universidad de Málaga. Campus de Excelencia Internacional. Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 23 ene 2026