Transmit Signal and Bandwidth Optimization in Multiple-Antenna Relay Channels
Chris T. K. Ng, Gerard J. Foschini

TL;DR
This paper investigates transmit signal and bandwidth optimization in multiple-antenna relay channels, evaluating capacity bounds and achievable rates for full-duplex and half-duplex relays with various strategies.
Contribution
It formulates the optimization problems as convex programs and compares decode-and-forward with compress-and-forward strategies based on relay placement.
Findings
Decode-and-forward is nearly optimal when relay is close to source.
Compress-and-forward performs well when relay is near destination.
Convex optimization effectively models capacity and rate maximization.
Abstract
Transmit signal and bandwidth optimization is considered in multiple-antenna relay channels. Assuming all terminals have channel state information, the cut-set capacity upper bound and decode-and-forward rate under full-duplex relaying are evaluated by formulating them as convex optimization problems. For half-duplex relays, bandwidth allocation and transmit signals are optimized jointly. Moreover, achievable rates based on the compress-and-forward transmission strategy are presented using rate-distortion and Wyner-Ziv compression schemes. It is observed that when the relay is close to the source, decode-and-forward is almost optimal, whereas compress-and-forward achieves good performance when the relay is close to the destination.
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