Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network
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. Th...
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MDPI AG
2018-07-01
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| Online Access: | http://www.mdpi.com/1099-4300/20/8/547 |
| _version_ | 1798042622538809344 |
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| author | Guiguo Feng Wangmei Guo Binyue Liu |
| author_facet | Guiguo Feng Wangmei Guo Binyue Liu |
| author_sort | Guiguo Feng |
| collection | DOAJ |
| description | 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. |
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| id | doaj.art-d0a7c0c1cd0c4c51a1d3317bb36054e2 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:38:02Z |
| publishDate | 2018-07-01 |
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| spelling | doaj.art-d0a7c0c1cd0c4c51a1d3317bb36054e22022-12-22T03:59:09ZengMDPI AGEntropy1099-43002018-07-0120854710.3390/e20080547e20080547Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay NetworkGuiguo Feng0Wangmei Guo1Binyue Liu2The State Key Laboratory of Integrated Services Network, Xidian University, Xi’an 710071, ChinaThe State Key Laboratory of Integrated Services Network, Xidian University, Xi’an 710071, ChinaBell Labs., Alcatel-Lucent, Shanghai 201206, ChinaConsider 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.http://www.mdpi.com/1099-4300/20/8/547beamformingmultiple-access relay network (MARN)achievable rate regionsemi-definite relaxationsemi-definite programming |
| spellingShingle | Guiguo Feng Wangmei Guo Binyue Liu Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network Entropy beamforming multiple-access relay network (MARN) achievable rate region semi-definite relaxation semi-definite programming |
| title | Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network |
| title_full | Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network |
| title_fullStr | Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network |
| title_full_unstemmed | Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network |
| title_short | Achievable Rate Region under Linear Beamforming for Dual-Hop Multiple-Access Relay Network |
| title_sort | achievable rate region under linear beamforming for dual hop multiple access relay network |
| topic | beamforming multiple-access relay network (MARN) achievable rate region semi-definite relaxation semi-definite programming |
| url | http://www.mdpi.com/1099-4300/20/8/547 |
| work_keys_str_mv | AT guiguofeng achievablerateregionunderlinearbeamformingfordualhopmultipleaccessrelaynetwork AT wangmeiguo achievablerateregionunderlinearbeamformingfordualhopmultipleaccessrelaynetwork AT binyueliu achievablerateregionunderlinearbeamformingfordualhopmultipleaccessrelaynetwork |