Ergodic Capacity Analysis of Wireless Relaying Systems In Rayleigh Fading

The ergodic capacities in Rayleigh fading of various wireless relaying systems with an arbitrary number of half- duplex relays are analyzed, assuming channel state information is only known at the receivers. Closed-form analytical expressions for calculation of the ergodic capacities of wireless relaying systems with regenerative relays and nonregenerative relays employing decode-and-forward relaying and amplify-and-forward relaying, respectively, are derived. It is shown that systems with regenerative relays employing decode-and-forward relaying offer higher ergodic capacities than systems with nonregenerative relays employing amplify-and-forward relaying.