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physical-layer network coding with High-Order Modulations 1

European-Alliance-for-Innovation (EAI) International Conference on Smart Grid and Innovative Frontiers in Telecommunications (SmartGIFT)

作者： Wang, Xuesong Lu, Lu Chinese Acad Sci Key Lab Space Utilizat Technol & Engn Ctr Space Utilizat Beijing Peoples R China Univ Chinese Acad Sci Beijing Peoples R China Sci & Technol Commun Networks Lab Shijiazhuang Hebei Peoples R China

ISBN: (数字)9783319949659

ISBN: (纸本)9783319949659;9783319949642

physical-layer network coding (PNC) can double the throughput of a Two-Way Relay network (TWRN) by reducing packet exchanging timeslots. In a multi-user wireless communication system, time domain phase shift can inevitably lead to deterioration of PNC performance. In previous studies, there have been many studies result to enhance the performance of some low-order modulation techniques such as BPSK and QPSK, but fewer studies are designed for high-order modulation such as 16-QAM. It is known that high-order modulation is the only way to improve the spectrum utilization rate. This paper uses simulation to explain that the time domain phase shift will greatly affect the performance of 16-QAM PNC, and its' performance couldn't be improved even polar code is used. To address this phase penalty problem, we propose a half-symbol asynchronous algorithm to introduce correlations using belief propagation (BP). Simulation results show that the time domain phase shift problem of 16-QAM modulated PNC systems can be solved effectively using our proposed half-symbol asynchronous BP algorithm.

关键词： physical-layer network coding Phase asynchrony Symbol asynchrony High-order modulation Belief propagation

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On the Optimal Design and Performance of Linear physical-layer network coding for Fading Two-Way Relay Channels

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IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS 2014年第2期13卷 956-967页

作者： Yang, Tao Collings, Iain B. Univ New S Wales Sch Elect Engn & Telecommun Sydney NSW 2052 Australia CSIRO CCI Canberra ACT Australia

The design of a reliable physical-layer network coding (PNC) scheme for practical fading two-way relay channels is a challenging task. This is because the signals transmitted by two users arrive at the relay with varied amplitudes and a relative carrier-phase offset, which will impair the performance of PNC. This paper studies a linear PNC scheme for fading two-way relay channels where the transmitters lack the channel state information. In this scheme, the relay computes and broadcast some finite-set integer combinations of two users' messages. The coefficients for the integer combinations used at the relay are carefully designed to minimize the error probability. This scheme can be viewed as a practical embodiment of the compute-and-forward concept. We develop a new LPNC design criterion called minimum set-distance maximization. Using this criterion, we derive an explicit expression for the optimized integer coefficients that minimizes the error probability of LPNC. The optimized integer coefficients turn out to resemble the fading channel coefficients. We further derive a closed-form expression on the average error probability performance over a complex-valued Rayleigh fading two-way relay channel, which shows that our designed LPNC scheme approaches the optimal error performance at a high SNR. Numerical results show that our designed LPNC outperforms existing schemes by more than 5 dB at a medium-to-high SNR regime.

关键词： network coding physical-layer network coding compute-and-forward distance property

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Error Performance of physical-layer network coding in Multiple-Antenna Two-Way Relay Systems With Outdated CSI

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IEEE TRANSACTIONS ON COMMUNICATIONS 2015年第10期63卷 3744-3753页

作者： Chen, Chen Bai, Lin Yang, Yehua Choi, Jinho Peking Univ State Key Lab Adv Opt Commun Syst & Networks Beijing 100871 Peoples R China Beihang Univ Sch Elect & Informat Engn Beijing 100191 Peoples R China Beihang Univ Natl Key Lab CNS ATM Beijing 100191 Peoples R China Gwangju Inst Sci & Technol Sch Informat & Commun Gwangju 500712 South Korea

In this paper, we study the impact of outdated channel state information (CSI) on the error rate performance in multiple-antenna two-way decode-and-forward (DF) relay systems, where physical-layer network coding (PNC) is adopted. We consider two variations of relay selection, namely, single best relay selection (S-RS) and multiple successfully-participated relay selection (MSP-RS). Under perfect and outdated CSI assumptions, closed-form expressions for the end-to-end system symbol error probability (SEP) are derived for the S-RS scheme, along with the asymptotic SEP expressions in high SNR regions for the MSP-RS scheme. By both analytical and simulation results, it is clearly shown that a full cooperative diversity gain can be achieved with perfect CSI. The results also manifest that the S-RS scheme can achieve only the transmit diversity gain with outdated CSI. On the other hand, the MSP-RS scheme can achieve a full cooperative diversity gain even if the CSI is outdated at the expense of high complexity.

关键词： Two-way relay system physical-layer network coding relay selection outdated channel state information

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On Non-Binary Constellations for Channel-Coded physical-layer network coding

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IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS 2013年第1期12卷 312-319页

作者： Faraji-Dana, Zahra Mitran, Patrick Univ Waterloo Dept Elect & Comp Engn Waterloo ON N2L 3G1 Canada

We investigate channel-coded physical-layer network coding in a two-way relaying scenario, where the end nodes A and B choose their symbols, S-A and S-B, from a small non-binary field, F, and adopt a non-binary PSK modulation. The relay then directly decodes the network-coded combination aS(A) + bS(B) over F from the noisy received superimposed channel-encoded packets. The advantage of working over non-binary fields is that it offers the opportunity to decode according to multiple decoding coefficients (a, b). As only one of the network-coded combinations needs to be successfully decoded, a key advantage is then a reduction in error probability by attempting to decode against all choices of (a, b). In this paper, we compare different mappings between F and the PSK constellation, and prove that many have identical performance in terms of frame error rate (FER). Moreover, we derive a lower bound on the performance of decoding the network-coded combinations. Simulation results show that if we adopt either i) concatenated Reed-Solomon and convolutional coding or ii) low-density parity check codes, our non-binary constellations can outperform the binary case significantly in the sense of minimizing the FER and, in particular, the ternary constellation has the best FER performance among all considered cases.

关键词： physical-layer network coding non-binary constellation mappers outage probability Reed Solomon Convolutional code concatenation low density parity check code

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Optimal power allocation for two-way relaying over OFDM using physical-layer network coding

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The Journal of China Universities of Posts and Telecommunications 2011年第1期18卷 9-15,35页

作者： LI Fu-nian ZHU Guang-xi WANG De-sheng Department of Electronic and Information Engineering Huazhong University of Science and Technology Wuhan 430074 China Department of Electronic and Information Engineering Wuhan University of Science and Technology Wuhan 430081 China

In this paper, a network scenario of two-way relaying over orthogonal frequency division multiplexing （OFDM） is considered, in which two nodes intend to exchange the information via a relay using physical-layer network coding （PLNC）. Assuming that the full channel knowledge is available, an optimization problem, which maximizes the achievable sum rate under a sum-power constraint, is investigated. It is shown that the optimization problem is non-convex, which is difficult to find the global optimum solution in terms of the computational complexity. In consequence, a low-complexity optimal power allocation scheme is proposed for practice implementation. A link capacity diagram is first employed for power allocation on each subcarrier. Subsequently, an equivalent relaxed optimization problem and Karush-Kuhn-Tucker （KKT） conditions are developed for power allocation among each subcarrier. Simulation results demonstrate that the substantial capacity gains are achieved by implementing the proposed schemes efficiently with a low-complexity computational effort.

关键词： two-way relaying power allocation physical-layer network coding OFDM

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On MIMO Linear physical-layer network coding: Full-Rate Full-Diversity Design and Optimization

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IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS 2018年第5期17卷 3498-3511页

作者： Shi, Long Yang, Tao Cai, Kui Chen, Pingping Guo, Tao Singapore Univ Technol & Design Sci & Math Cluster Singapore 487372 Singapore Univ Technol Sydney Sch Comp & Commun Ultimo NSW 2007 Australia Fuzhou Univ Coll Phys & Informat Fujian 361005 Peoples R China Chinese Univ Hong Kong Dept Informat Engn Hong Kong Hong Kong Peoples R China

This paper considers a multiuser communication network, where a receiver is set to compute functions of the messages from K users. All user nodes and the receiver are equipped with multi-antenna. We propose a space-time (ST) coded multiple-input multiple-output (MIMO) linear physical-layer network coding (LPNC) scheme that promises full-rate and full-diversity, while achieving the maximum coding gain of LPNC. In the proposed framework, the users' messages are encoded by the same linear dispersion ST code and transmitted simultaneously. The receiver exploits the MIMO LPNC mapping in reconstructing an arbitrary number of linearly network-coded (NC) messages. We derive the NC generator matrix that leads to the greatest coding gain and minimized error probability at the receiver. On top of that, we analytically show that the proposed ST coded LPNC scheme guarantees the full-diversity and full-rate transmission. The proposed method applies to a wide range of network configurations. Two case studies on: (1) MIMO two-way relay network and (2) MIMO multiple-access relay network are presented in this paper. For both case studies, numerical results are shown to demonstrate the performance improvement of the proposed scheme over conventional schemes by more than 4 dB, while the full-rate and full-diversity behaviors are in line with our analysis.

关键词： physical-layer network coding space-time coding MIMO multiuser system compute-and-forward

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Asynchronous physical-layer network coding With Quasi-Cyclic Codes

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IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS 2015年第2期33卷 309-322页

作者： Wang, Ping-Chung Huang, Yu-Chih Narayanan, Krishna R. Texas A&M Univ Dept Elect & Comp Engn College Stn TX 77843 USA

Communication in the presence of bounded timing asynchronism, which is known to the receiver but cannot be easily compensated, is studied. Examples of such situations include point-to-point communication over intersymbol interference (ISI) channels and asynchronous wireless networks. In these scenarios, although the receiver may know all the delays, it is often not an easy task for the receiver to compensate the delays as the signals are mixed together. A novel framework, which is called interleave/deinterleave transform (IDT), is proposed to deal with this problem. It is shown that the IDT allows one to design the delays so that quasi-cyclic (QC) codes with a proper shifting constraint can be used accordingly. When used in conjunction with QC codes, IDT provides significantly better performance than existing schemes relying solely on cyclic codes. Two instances of asynchronous physical-layer network coding, namely, the integer-forcing equalization for ISI channels and asynchronous compute-and-forward, are then studied. For integer-forcing equalization, the proposed scheme provides improved performance over using cyclic codes. For asynchronous compute-and-forward, the proposed scheme shows that there is no loss in the achievable information rates due to delays that are integer multiples of the symbol duration. Furthermore, the proposed approach shows that delays introduced by the channel can sometimes be exploited to obtain higher information rates than those obtainable in the synchronous case. The proposed IDT can be thought of as a generalization of the interleaving/deinterleaving idea proposed by Wang et al., which allows the use of QC codes, thereby substantially increasing the design space.

关键词： Compute-and-forward physical-layer network coding integer-forcing receiver

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Performance Optimization for D2D Communications With Opportunistic Relay and physical-layer network coding

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2019年第12期68卷 11928-11943页

作者： Lin, Shijun Li, Yong Ding, Haichuan Fang, Yuguang Shi, Jianghong Xiamen Univ Dept Commun Engn Xiamen 361000 Peoples R China Tsinghua Univ Dept Elect Engn Beijing 100084 Peoples R China Univ Michigan Dept Elect Engn & Comp Sci Ann Arbor MI 48109 USA Univ Florida Dept Elect & Comp Engn Gainesville FL 32611 USA

In this paper, we investigate the joint signal to interference plus noise ratio (SINR) thresholds optimization and resource allocation to maximize the sum-rate of Device-to-Device (D2D) communications while still retaining the rate requirements for active cellular users (CUs), when the inactive CUs are used as opportunistic relays under three operational modes: without using network-coding (NNC), using traditional high-layer network-coding (HNC), and using physical-layer network-coding (PNC). Under Rayleigh fading, we show that, given the selections of relays, this sum-rate maximization in no-relay scheme, NNC, HNC, and PNC opportunistic relay schemes can be formulated as a mixed integer non-linear programming (MINLP), which is NP-hard in general. To find the solution to the MINLP, we propose a two-step approach to solve the problem: 1) for each possible pairing of a D2D pair and a CU, we derive the optimal SINR thresholds to obtain the maximum transmission rate of the D2D pair while satisfying the rate requirement of the CU;2) based on the maximum transmission rates of D2D pairs for each possible pairing in the first step, we develop a bipartite-matching method to find the optimal pairing CUs for D2D pairs. Finally, according to the solution to the MINLP, we propose an iterative relay selection algorithm to find out the relays that can further improve the sum-rate of D2D communications. Extensive simulation results demonstrate that, compared with the scenario without relaying, the NNC, HNC, and PNC opportunistic relay schemes achieve a maximum performance enhancement of 106%, 138%, and 168%, respectively.

关键词： Device-to-device communication opportunistic relay physical-layer network coding Rayleigh fading channel

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Linear Vector physical-layer network coding for MIMO Two-Way Relay Channels: Design and Performance Analysis

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IEEE TRANSACTIONS ON COMMUNICATIONS 2015年第7期63卷 2591-2604页

作者： Guo, Jiajia Yang, Tao Yuan, Jinhong Zhang, Jian A. Univ New S Wales Sch Elect Engn & Telecommun Sydney NSW 2052 Australia CSIRO Digital Prod Flagship Sydney NSW 1710 Australia

In this paper, we propose a new linear vector physical-layer network coding (NC) scheme for spatial multiplexing multiple-input multiple-output (MIMO) two-way relay channel (TWRC) where the channel state information (CSI) is not available at the transmitters. In this scheme, each user transmits M independent quadrature amplitude modulation signal streams respectively from its M antennas to the relay. Based on the receiver-side CSI, the relay determines a NC generator matrix for linear vector network coding, and reconstructs the associated M linear combinations of all messages. We present an explicit solution for the generator matrix that minimizes the error probability at a high SNR, as well as an efficient algorithm to find the optimized solution. We propose a novel typical error event analysis that exploits a new characterization of the deep fade events for the TWRC. We derive a new closed-form expression for the average error probability of the proposed scheme over a Rayleigh fading MIMO TWRC. Our analysis shows that the proposed scheme achieves the optimal error rate performance at a high SNR. Numerical results show that the proposed scheme significantly outperforms existing schemes, and match well with our analytical results.

关键词： network coding physical-layer network coding MIMO distance spectrum TWRC

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Optimal Energy-Efficient Power Allocation and Outage Performance Analysis for Cognitive Multi-Antenna Relay network Using physical-layer network coding

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KSII TRANSACTIONS ON INTERNET AND INFORMATION SYSTEMS 2013年第12期7卷 3018-3036页

作者： Liu, Jia Zhu, Ying Kang, GuiXia Zhang, YiFan Beijing Univ Posts & Telecommun Minist Educ Key Lab Univ Wireless Commun Beijing 100876 Peoples R China Guilin Univ Elect Technol Dept Teaching & Practicing Guilin 541004 Peoples R China

In this paper, we investigate power allocation scheme and outage performance for a physical-layer network coding (PNC) relay based secondary user (SU) communication in cognitive multi-antenna relay networks (CMRNs), in which two secondary transceivers exchange their information via a multi-antenna relay using PNC protocol. We propose an optimal energy-efficient power allocation (OE-PA) scheme to minimize total energy consumption per bit under the sum rate constraint and interference power threshold (IPT) constraints. A closed-form solution for optimal allocation of transmit power among the SU nodes, as well as the outage probability of the cognitive relay system, are then derived analytically and confirmed by numerical results. Numerical simulations demonstrate the PNC protocol has superiority in energy efficiency performance over conventional direct transmission protocol and Four-Time-Slot (4TS) Decode-and-Forward (DF) relay protocol, and the proposed system has the optimal outage performance when the relay is located at the center of two secondary transceivers.

关键词： physical-layer network coding energy-efficient power allocation cognitive relay system

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