分组马尔可夫叠加传输在非高斯脉冲信道上的性能研究
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摘要
研究了非高斯脉冲信道上的分组马尔可夫叠加传输机制。基于精灵辅助等效系统,分析了分组马尔可夫叠加传输系统的性能下界。仿真结果表明,在特征因子不同的非高斯脉冲信道上,分组马尔可夫叠加编码技术均可获得较高的编码增益,且误比特率较低区域的误码性能均可与精灵辅助下界贴合。在BER=10-5时,分组马可夫叠加传输系统便可达到距离香农限约0.85 dB的性能。
Block Markov superposition transmission scheme was used over channels with symmetric alpha-stable(SαS)impulsive noise. Based on the equivalent genie-aided system, the lower bound of the block Markov superposition transmission system was analyzed. Numerical simulations over non-Gaussian impulsive channels with different characteristic exponents show that, in the low bit-error rate region, performance of the block Markov superposition transmission system matches well with the lower bound. Block Markov superposition transmission scheme performs well(with 0.85 d B away from Shannon limits at the BER of 10-5) over non-Gaussian impulsive channels.
Block Markov superposition transmission scheme was used over channels with symmetric alpha-stable(SαS)impulsive noise. Based on the equivalent genie-aided system, the lower bound of the block Markov superposition transmission system was analyzed. Numerical simulations over non-Gaussian impulsive channels with different characteristic exponents show that, in the low bit-error rate region, performance of the block Markov superposition transmission system matches well with the lower bound. Block Markov superposition transmission scheme performs well(with 0.85 d B away from Shannon limits at the BER of 10-5) over non-Gaussian impulsive channels.
引文
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[15]FORNEY G D.Codes on graphs:Normal realizations[J].IEEE Transactions on Information Theory,2001,47(2):520-548.
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[2]NIKIAS C L,SHAO M.Signal processing with alpha-stable distributions and applications[M].Wiley-Interscience,1995.
[3]NOLAN J P.Numerical calculation of stable densities and distribution functions[J].Communications in Statistics.Stochastic Models,1997,13(4):759-774.
[4]CHITRE M A,POTTER J R,ONG S H.Viterbi decoding of convolutional codes in symmetricα-stable noise[J].IEEE Transactions on Communications,2007,55(12):2230-2233.
[5]罗康生,赵明生.非高斯脉冲噪声下Turbo均衡性能分析的改进EXIT图方法[J].电子与信息学报,2009,31(6):1386-1389.LUO K,ZHAO M.Modified EXIT chart method for performance analysis of Turbo equalization in non-Gaussian impulsive noise environments[J].Journal of Electronics Information Technology,2009,31(6):1386-1389.
[6]KOIKE K,OGIWARA H.Application of Turbo TCM codes for impulsive noise channel[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,1998,81(10):2032-2039.
[7]DAI B,LIU R,HOU Y,et al.EXIT chart aided LDPC code design for symmetric alpha-stable impulsive noise[J].IEEE Communications Letters,2017,21(3):464-467.
[8]HOU Y,LIU R,DAI B,et al.Joint channel estimation and LDPCdecoding over time-varying impulsive noise channels[J].IEEE Transactions on Communications,2018,66(6):2376-2383.
[9]WANG J,KURUOGLU E E,ZHOU T.Alpha-stable channel capacity[J].IEEE Communications Letters,2011,15(10):1107-1109.
[10]MA X,LIANG C,HUANG K,et al.Block Markov superposition transmission:construction of big convolutional codes from shortcodes[J].IEEE Transactions on Information Theory,2015,61(6):3150-3163.
[11]HUANG K,MA X.Performance analysis of block Markov superposition transmission of short codes[J].IEEE Journal on Selected Areas in Communications,2016,34(2):362-374.
[12]朱锦顺,马啸.户外无线光通信中湍流信道下的分组马尔可夫叠加传输研究[J].通信学报,2017,38(7):131-140.ZHU J,MA X.Block Markov superposition transmission over turbulence channels in outdoor optical wireless communications[J].Journal on Communications,2017,38(7):131-140.
[13]GONZALEZ J G,PAREDES J L,ARCE G R.Zero-order statistics:a mathematical framework for the processing and characterization of very impulsive signals[J].IEEE Transactions on Signal Processing,2006,54(10):3839-3851.
[14]MA X,LIANG C,HUANG K.Obtaining extra coding gain for short codes by block Markov superposition transmission[C]//2013 IEEE International Symposium on Information Theory.2013:2054-2058.
[15]FORNEY G D.Codes on graphs:Normal realizations[J].IEEE Transactions on Information Theory,2001,47(2):520-548.
[16]BAHL L,COCKE J,JELINEK F,et al.Optimal decoding of linear codes for minimizing symbol error rate[J].IEEE Transactions on Information Theory,1974,20(2):284-287.
[17]HU J,MA X,LIANG C.Block Markov superposition transmission of repetition and single-parity-check codes[J].IEEE Communications Letters,2015,19(2):131-134.