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Efficient Raptor Coded Cooperation Scheme via QC-LDPC Pre-coding |
BAO Jianrong①② HE Dan① XU Xiaorong① JIANG Bin① |
①(School of Telecommunication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China)
②(National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China) |
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Abstract Traditionally, the cooperative communications usually uses Decode-and-Forward (DF) strategy. However, there is easily error propagation phenomenon by the strategy, when the quality of the communication link between source and relay is poor. To solve the problem, a novel Raptor coded cooperation scheme, which can be used in the Coded Cooperation (CC) strategy, is proposed to achieve rather high coding gains and full diversity gains in high Signal-to-Noise Ratio (SNR) regime. In this scheme, different Raptor codes are employed at the source and relay nodes, so the codeword at each node is independent and unequal. Meanwhile, the codeword at relay node is the parity check section of the codeword at the source node. Therefore, after receiving the data transmitted from different independent links, the destination node tries to decode them jointly by the intrinsic relationship among them, to obtain additionally spatial diversity gains in transmission. In addition, in order to reduce the complexity of Raptor encoding and decoding, the Quasi-Cyclic Low-Density Parity-Check (QC-LDPC) codes are constructed by integer sequence and employed as the pre-coding. Simulations indicate that the proposed Raptor CC scheme achieves 2 dB and 1 dB performance gains compared with those of the traditional DF based one and a scheme with the combination of a Raptor code and a Distributed Space-Time Block Code (DSTBC), respectively, at Bit Error Rate (BER) of 10-4 . Moreover, the performance improves about 2 dB and 7 dB at the outage of 10-2 , when compared with those of the CC strategy and DF strategy, respectively.
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Received: 22 April 2016
Published: 21 October 2016
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Fund: Zhejiang Provincial National Natural Science Foundation (LZ14F010003, LY15F010008), The National Natural Science Foundation of China (61471152), The Open Research Fund of National Mobile Communications Research Laboratory Southeast University (2014D02), Zhejiang Provincial Science and Technology Plan Project (2015C31103) |
Corresponding Authors:
BAO Jianrong
E-mail: baojr@hdu.edu.cn
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[1] |
SHOKROLLAHI A. Raptor codes[J]. IEEE Transactions on Information Theory, 2006, 52(6): 2551-2567. doi: 10.1109/ TIT.2006.874390.
|
[2] |
ZHANG H T and KUO G S. Raptor code for downlink cooperative wireless cellular networks[C]. IEEE Vehicular Technology Conference 2008, Beijing, China, 2008: 1-5. doi: 10.1109/VETECF.2008.344.
|
[3] |
祝开艳, 王洪玉, 孙文珠, 等. 一种分布式喷泉码在协作通信中的应用[J]. 电子学报, 2014, 42(7): 1249-1255. doi: 10.3969 /j.issn.0372-2112.2014.07.001.
|
|
ZHU Kaiyan, WANG Hongyu, SUN Wenzhu, et al. A distributed fountain code for cooperative communications[J]. Acta Electronica Sinica, 2014, 42(7): 1249-1255. doi: 10.3969/ j.issn.0372-2112.2014.07.001.
|
[4] |
JAMES A and MADHUKUMAR A S. Performance limits of rateless codes in delay constrained multi-hop relay networks[C]. IEEE International Conference on Communications Workshops 2014, Sydney, Australia, 2014: 325-330. doi: 10.1109/ICCW.2014.6881217.
|
[5] |
寇明延, 张登福, 徐志刚, 等. MIMO时分蜂窝系统混合协作上行性能研究[J]. 电子与信息学报, 2010, 32(7): 1538-1542. doi: 10.3724/SP.J.1146.2009.01053.
|
|
KOU Mingyan, ZHANG Dengfu, XU Zhigang, et al. Uplink performance of MIMO TDMA cellular system with hybrid collaboration[J]. Journal of Electronics & Information Technology, 2010, 32(7): 1538-1542. doi: 10.3724/SP.J.1146. 2009.01053.
|
[6] |
HU J and DUMAN T M. Low density parity check codes over half-duplex relay channels[C]. IEEE International Symposium on Information Theory 2006, Seattle, USA, 2006: 972-976. doi: 10.1109/ISIT.2006.261872.
|
[7] |
UPPAL M, HOST-MADSEN A, and XIONG Z X. Practical rateless cooperation in multiple access channels using multiplexed raptor codes[C]. IEEE International Symposium on Information Theory 2007, Nice, France, 2007: 671-675. doi: 10.1109/ISIT.2007.4557302.
|
[8] |
GALLAGER R G. Low-density parity-check codes[J]. IRE Transaction on Information Theory, 1962, 8(1): 21-28. doi: 10.1109/TIT.1962.1057683.
|
[9] |
张轶, 达新宇, 苏一栋. 利用等差数列构造大围长准循环低密度奇偶校验码[J]. 电子与信息学报, 2015, 37(2): 394-398. doi: 10.11999/JEIT140538.
|
|
ZHANG Yi, DA Xinyu, and SU Yidong. Construction of quasi-cyclic low-density parity-check codes with a large girth based on arithmetic progression[J]. Journal of Electronics & Information Technology, 2015, 37(2): 394-398. doi: 10.11999/ JEIT140538.
|
[10] |
ZHANG J and ZHANG G. Deterministic girth-eight QC-LDPC codes with large column weight[J]. IEEE Communications Letters, 2014, 18(4): 656-659. doi: 10.1109/ LCOMM.2014.030114.132853.
|
[11] |
张国华, 陈超, 杨洋, 等. Girth-8 (3,L)-规则QC-LDPC码的一种确定性构造方法[J]. 电子与信息学报, 2010, 32(5): 1152-1156. doi: 10.3724/SP.J.1146.2009.00838.
|
|
ZHANG Guohua, CHEN Chao, YANG Yang, et al. Girth-8 (3, L)-regular QC-LDPC codes based on novel deterministic design technique[J]. Journal of Electronics & Information Technology, 2010, 32(5): 1152-1156. doi: 10.3724/SP.J.1146. 2009.00838.
|
[12] |
ZHANG S W, SONG R F, and YANG F F. Joint design of QC-LDPC codes for cascade-based multisource coded cooperation[C]. International Conference on Wireless Communications and Signal Processing 2015, Nanjing, China, 2015: 1-4. doi: 10.1109/WCSP.2015.7340967.
|
[13] |
ZHANG Y, YANG F F, and SONG W J. Performance analysis for cooperative communication system with QC-LDPC codes constructed with integer sequences[J]. Discrete Dynamics in Nature and Society, 2015, 2015: 1-7. doi: 10.1155/2015/649814.
|
[14] |
袁建国, 王望, 梁天宇. 一种高速长距离光通信系统中QC-LDPC码的构造方法[J]. 光电子·激光, 2012, 23(5): 906-909. doi: 10.16136/j.joel.2012.05.025.
|
|
YUAN Jianguo, WANG Wang, and LIANG Tianyu. A novel construction method of QC-LDPC codes for high-speed long-haul optical communication systems[J]. Journal of Optoelectronics Laser, 2012, 23(5): 906-909. doi: 10.16136/ j.joel.2012.05.025.
|
[15] |
ZHAO D F and LI D B. Coded cooperation scheme using LDPC codes[J]. Journal of Beijing University of Posts and Telecommunications, 2008, 31(5): 121-125.
|
[16] |
SIMON M K and ALOUINI M S. Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis[M]. New York: John Wiley & Sons, 2000: 506-510. doi: 10.1002/0471200697.
|
[17] |
CHEN Wei and CHEN Wen. A new rateless coded cooperation scheme for multiple access channels[C]. IEEE International Conference on Communications 2011 (ICC’2011), Kyoto, Japan, 2011: 1-5. doi: 10.1109/icc. 2011.5962473.
|
[18] |
彭木根, 王文博. 协同无线通信原理与应用[M]. 北京: 机械工业出版社, 2008: 48-53.
|
|
PENG Mugen and WANG Wenbo. Cooperative Wireless Communications: Principles and Practice[M]. Beijing: China Machine Press, 2008: 48-53.
|
[19] |
OMID E and AMIN S. Raptor codes on binary memoryless symmetric channels[J]. IEEE Transactions on Information Theory, 2006, 52(5): 2033-2051. doi: 10.1109/TIT.2006. 872855.
|
[20] |
段琳琳, 王忠勇, 王玮, 等. 低复杂度的自适应置信差分迭代译码算法[J]. 电子与信息学报, 2014, 36(11): 2640-2645. doi: 10.3724/SP.J.1146.2014.00234.
|
|
DUAN Linlin, WANG Zhongyong, WANG Wei, et al. An adaptive belief propagation difference-map iterative decoding algorithm with low complexity[J]. Journal of Electronics & Information Technology, 2014, 36(11): 2640-2645. doi: 10.3724/SP.J.1146.2014.00234.
|
|
|
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