Average capacity analysis of continuous-time frequency-selective Rayleigh fading channels with correlated scattering using majorization
We consider a discrete-time frequencyselective block-fading channel with Rayleigh fading and correlated scattering. This is relevant in the area of UWB and if transceiver filters are included in the capacity analysis. Under an average power constraint, we assume a single-user, single-antenna transmission with full CSI at the receiver and no CSI at the transmitter. For the employed model, we analyze the variance of the random capacity and the outage capacity. The variance together with the ergodic capacity are adequate means to estimate and basically characterize the behavior of the outage capacity via Chebyshev’s inequality. Furthermore, expressions for high SNR are derived and the impact of correlated scattering compared to uncorrelated scattering is systematically studied on both, the ergodic and the outage capacity.