Abstract

Consider a network consisting of two independent single-antenna sources, a single-antenna destination and a helping multiple-antenna relay. This network is called a dual-hop multiple access relay network (MARN). In this network, sources transmit to the relay simultaneously in the first time slot. The relay retransmits the received sum-signal to the destination using a linear beamforming scheme in the second time slot. In this paper, we characterize the achievable rate region of MARN under linear beamforming. The achievable rate region characterization problem is first transformed to an equivalent “corner point” optimization problem with respect to linear beamforming matrix at the relay. Then, we present an efficient algorithm to solve it via only semi-definite programming (SDP). We further derive the mathematical close-forms of the maximum individual rates and the sum-rate. Finally, numerical results demonstrate the performance of the proposed schemes.

Highlights

  • Wireless networks today are facing with challenges of high demands of reliable transmission and throughput while reducing signal interference

  • With several transformation tricks developed in this study, we show that the corner point (CP) optimization problem can be efficiently solved via a semi-definite programming (SDP)-based approach

  • We investigate a dual-hop multiple access relay network (MARN) consisting of two single-antenna sources, a single-antenna destination and a helping multi-antenna relay

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Summary

Introduction

Wireless networks today are facing with challenges of high demands of reliable transmission and throughput while reducing signal interference. Compared with others like decode-forward (DF) and compress-forward (CF), amplified-forward (AF) has advantages of simple implementation and low relaying cost and is preferred in designing cooperative networks [1,2]. One popular variant of AF is linear beamforming It achieves high transmission rate by generating pencil beams to concentrate signals in a narrow direction towards intended receivers, and significantly reduces interference from omni-directional antenna transmissions. For this reason, linear beamforming is widely applied in wireless relay networks as a promising relaying strategy [4,5]

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