Ergodic Capacity of Discrete- and Continuous-Time, Frequency-Selective Rayleigh Fading Channels with Correlated Scattering

TL;DR

This paper analyzes the ergodic capacity of frequency-selective Rayleigh fading channels with correlated scattering, comparing continuous and discrete models, and highlights the impact of correlation on capacity in UWB applications.

Contribution

It provides a comprehensive analysis of ergodic capacity for correlated scattering channels, including continuous and discrete models, with detailed examination of Ornstein-Uhlenbeck processes.

Findings

Correlated scattering significantly affects ergodic capacity.

Continuous and discrete models show notable differences.

Numerical results illustrate the impact of correlation on capacity.

Abstract

We study the ergodic capacity of a frequency-selective Rayleigh fading channel with correlated scattering, which finds application in the area of UWB. Under an average power constraint, we consider a single-user, single-antenna transmission. Coherent reception is assumed with full CSI at the receiver and no CSI at the transmitter. We distinguish between a continuous- and a discrete-time channel, modeled either as random process or random vector with generic covariance. As a practically relevant example, we examine an exponentially attenuated Ornstein-Uhlenbeck process in detail. Finally, we give numerical results, discuss the relation between the continuous- and the discrete-time channel model and show the significant impact of correlated scattering.