Achievable Rates And Capacity For Gaussian Two-antenna Relay Channels With Correlated Noise

With the development of satellite communication, and fiber-optic communication, multi-userinformation theory is more and more widely applied in communication systems. Mutualcooperation in relay channels can effectively improve the channel capacity. Therefore, it alwaysdraws special attention and is studied by many researchers. As well as the study on channel capacityand encoding strategies of relay channels, the selection of the optimal coding and decodingstrategies can increase the channel utilization, avoiding the waste of resource.This paper mainly researches on the achievable rates and capacity for Gaussian two-antennarelay channel with correlated noises. The first two chapters elaborate the current situation andsignificance of multi-user information theory and relay channel, and summarize the relatedinformation theory of relay channel; in the third and fourth chapters, achievable rates for Gaussiantwo-antenna relay channel with correlated noises have been studied in different relay strategies atFull-duplex and Time-Division Half-duplex mode, respectively. Then two capacity theorems aregiven when the noise correlation coefficient equals to a special value in the fifth chapter.The main research results are as follows:1. The upper bound and achievable rates in Decode-and-Forward (DF), Compress-and-Forward(CF) relay strategies have been given at two-antenna relay channel in Full-duplex mode.2. In the Time-Division Half-duplex mode, the research on two-antenna relay channel hasobtained the upper bound and achievable rates in DF, CF, and Amplify-and-Forward (AF) relaystrategies.3. Two capacity-achieving theorems are given when the noise correlation coefficient equals to aspecial value. The first theorem is equivalent to the Gaussian degraded relay channel, while thesecond one is equivalent to Gaussian reversely-degraded relay channel. Numerical results show thatcompared with single antenna relay channel, the use of two-antenna technology at relay canimprove the rate of transmitting data efficiently. Finally, the impact of the noise correlationcoefficient on CF and AF achievable rates is analyzed in details.