Analysis of Energy Detection of Unknown Signals under Beckmann Fading Channels

Abstract

Abstract-The Beckmann fading is a general multipath fading model which includes Rice, Hoyt and Rayleigh fading as particular cases. However, the generality of the Beckmann fading also implies a significant increased mathematical complexity. Thus, relatively few analytical results have been reported for this otherwise useful fading model. The performance of energy detection for multi-branch receivers operating under Beckmann fading is here studied, and the inherent analytical complexity is here circumvented by the derivation of a closed-form expression for the generalized moment generating function (MGF) of the received signal-to-noise ratio (SNR), which is a new and useful result, as it is key for evaluating the receiver operating characteristics. The impact of fading severity on the probability of missed detection is shown to be less critical as the SNR decreases. Monte Carlo simulations have been carried out in order to validate the obtained theoretical expressions.

On the Performance of Variable-Rate HARQ-IR over Beckmann Fading Channels

“…To overcome this shortcoming, correlated Rician fading channel model was used to capture the effect of time correlation as well as that of the LOS component in [10], the asymptotic expression of outage probability was then derived in closed-form in high signal-tonoise ratio (SNR) regime, and the resultant simple expression enabled the maximization of goodput via joint optimization of transmission rate and powers. Whereas the results obtained in [10] are inapplicable to the case when characterizing the scattering from rough surfaces, where unequal means and variances between the in-phase and the quadrature components of channel impulse response arises [11]. Hence, it is worthwhile to study the performance of HARQ-IR under a more general channel model to quantify these impact factors, and the performance analysis will offer valuable guidelines for the design of practical HARQ-IR systems.…”