Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design
Physical-layer network coding holds the great potential of improving the power efficiency and the spectral efficiency for the two-stage transmission scheme. The first stage is the multiple access stage, where two source nodes (SN<sub>1</sub> and SN<sub>2</sub>) simultaneously...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2017-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8023755/ |
| _version_ | 1819163074533261312 |
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| author | Zhijiang Yu Wei Chen Xin Guo Xiang Chen Chen Sun |
| author_facet | Zhijiang Yu Wei Chen Xin Guo Xiang Chen Chen Sun |
| author_sort | Zhijiang Yu |
| collection | DOAJ |
| description | Physical-layer network coding holds the great potential of improving the power efficiency and the spectral efficiency for the two-stage transmission scheme. The first stage is the multiple access stage, where two source nodes (SN<sub>1</sub> and SN<sub>2</sub>) simultaneously transmit to the relay node (RN). The second stage is the Broadcast stage, where the RN broadcasts to the two destination nodes (DN<sub>1</sub> and DN<sub>2</sub>), after a denoising-and-mapping operation. In this paper, we investigate the joint network-coded modulation design of the two stages. A universal modulation framework is built, referred to as analog network-coded modulation strategy, which is more general than the former modulation design mechanism. More explicitly, we propose a joint design criterion to guarantee the forwarding reliability at the RN. The criterion ensures that the neighboring constellation points superposed at the RN are mapped to an identical constellation point for broadcasting if their Euclidean distance (ED) is less than a given threshold. This yields a non-convex polynomial optimization problem by minimizing the average transmission power and constraining the ED among the constellation points. By solving the problem, we propose two joint modulation design algorithms, termed as the Enhanced Semidefinite Relaxation Algorithm and the Fast-Relaxation Algorithm, respectively. The two algorithms can achieve the tradeoff between the communication performance and the computation resources. As for the Fast-Relaxation Algorithm, the theoretical performance boundary is derived in detail. Simulation results demonstrate the effectiveness of both the proposed algorithms by comparing symbol error rate performance with the existing modulation design methods. |
| first_indexed | 2024-12-22T17:38:21Z |
| format | Article |
| id | doaj.art-01679ec1219a47f1a92949212a143bf4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T17:38:21Z |
| publishDate | 2017-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-01679ec1219a47f1a92949212a143bf42022-12-21T18:18:28ZengIEEEIEEE Access2169-35362017-01-015182711828610.1109/ACCESS.2017.27479018023755Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation DesignZhijiang Yu0Wei Chen1https://orcid.org/0000-0002-9066-1448Xin Guo2https://orcid.org/0000-0003-0763-3348Xiang Chen3https://orcid.org/0000-0003-0339-1046Chen Sun4Department of Electronic Engineering, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, ChinaDepartment of Electronic Engineering, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, ChinaSony China Research Laboratory, Sony (China) Ltd., Beijing, ChinaDepartment of Electronic Engineering, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, ChinaSony China Research Laboratory, Sony (China) Ltd., Beijing, ChinaPhysical-layer network coding holds the great potential of improving the power efficiency and the spectral efficiency for the two-stage transmission scheme. The first stage is the multiple access stage, where two source nodes (SN<sub>1</sub> and SN<sub>2</sub>) simultaneously transmit to the relay node (RN). The second stage is the Broadcast stage, where the RN broadcasts to the two destination nodes (DN<sub>1</sub> and DN<sub>2</sub>), after a denoising-and-mapping operation. In this paper, we investigate the joint network-coded modulation design of the two stages. A universal modulation framework is built, referred to as analog network-coded modulation strategy, which is more general than the former modulation design mechanism. More explicitly, we propose a joint design criterion to guarantee the forwarding reliability at the RN. The criterion ensures that the neighboring constellation points superposed at the RN are mapped to an identical constellation point for broadcasting if their Euclidean distance (ED) is less than a given threshold. This yields a non-convex polynomial optimization problem by minimizing the average transmission power and constraining the ED among the constellation points. By solving the problem, we propose two joint modulation design algorithms, termed as the Enhanced Semidefinite Relaxation Algorithm and the Fast-Relaxation Algorithm, respectively. The two algorithms can achieve the tradeoff between the communication performance and the computation resources. As for the Fast-Relaxation Algorithm, the theoretical performance boundary is derived in detail. Simulation results demonstrate the effectiveness of both the proposed algorithms by comparing symbol error rate performance with the existing modulation design methods.https://ieeexplore.ieee.org/document/8023755/Two-way relayingnetwork codingmodulation codingphysical layerconstellation designoptimization methods |
| spellingShingle | Zhijiang Yu Wei Chen Xin Guo Xiang Chen Chen Sun Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design IEEE Access Two-way relaying network coding modulation coding physical layer constellation design optimization methods |
| title | Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design |
| title_full | Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design |
| title_fullStr | Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design |
| title_full_unstemmed | Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design |
| title_short | Analog Network-Coded Modulation With Maximum Euclidean Distance: Mapping Criterion and Constellation Design |
| title_sort | analog network coded modulation with maximum euclidean distance mapping criterion and constellation design |
| topic | Two-way relaying network coding modulation coding physical layer constellation design optimization methods |
| url | https://ieeexplore.ieee.org/document/8023755/ |
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