Chaotic Signal Extraction Algorithm Based on Proliferation Exponent
HUANG Jin-wang1, LÜ Shan-xiang2, LI Guang-ming1, YUAN Hua-qiang1
1. School of Computer Science and Network Security, Dongguan University of Technology, Dongguan, Guangdong 523808, China;
2. School of Information Engineering, Guangdong University of Technology, Guangzhou, Guangdong 510006, China
Abstract:In this paper,we propose a signal extraction algorithm based on the property of chaotic signal.Each chaotic signal corresponds to a different chaotic attractor in phase space.We define proliferation exponent(PE) using the property above;PE is used as a statistic feature to classify chaotic signal and computationally less dissipative compared with Kullback Leibler divergence.We firstly model the problem of blind source extraction into an optimization problem with constrained.The objective function based on PE is non-convex or multi-model and solving the optimization problem with gradient search method may lead to local optimum.We use particle swarm optimization(PSO) algorithm to solve the above optimization problem,the algorithm is improved by adjusting the inertia coefficient dynamically and the global optimal position is disturbed to diversify the particle population and increase the probability of escaping from local trap.The experimental results show that the proposed signal extraction algorithm can extract the mixture of chaotic signals and multi-channel Gaussian signals efficiently.
[1] 朱行涛,刘郁林,栗铁桩.基于循环平稳差异的直扩信号盲提取抗干扰方法[J].电子学报,2017,45(6):1506-1512. ZHU Xing-tao,LIU Yu-lin,LI Tie-zhuang.Anti-jamming method by blindly extracting of direct sequence spread spectrum signal based on cyclostationary difference[J].Acta Electronica Sinica,2017,45(6):1506-1512.(in Chinese)
[2] Kaddoum G.Wireless chaos-based communication systems:a comprehensive survey[J].IEEE Access,2016,4:2621-2648.
[3] 黄锦旺,李广明,冯久超,等.一种无线传感器网络中的混沌信号重构算法[J].物理学报,2014,63(14):140502. HUANG Jinwang,LI Guangming,FENG Jiuchao,et al.A chaotic signal reconstruction algorithm in wireless sensor networks[J].Acta Physica Sinica,2014,63(14):140502.(in Chinese)
[4] SENOUCI A,BOUKABOU A,BUSAWON K,et al.Robust chaotic communication based on indirect coupling synchronization[J].Circuits,Systems,and Signal Processing,2014,34(2):393-418.
[5] MESLOUB A,BOUKHELIFA A,MERAD O,et al.Chip averaging chaotic ON-OFF keying:a new non-coherent modulation for ultra wide band direct chaotic communication[J].IEEE Communications Letters,2017,21(10):2166-2169.
[6] LIN J,LIN W.Extended Kalman filter-based codec for chaotic communication systems[J].International Journal of Bifurcation and Chaos,2014,24(7):1450094.
[7] HUANG J,FENG J.Signal reconstruction in wireless sensor networks based on cubature Kalman particle filter[J].Chinese Physics B,2014,23(7):070504.
[8] XIE Z B,FENG J C.Blind source separation of continuous-time chaotic signals based on fast random search algorithm[J].IEEE Transactions on Circuits and Systems Ⅱ:Express Briefs,2010,57(6):461-465.
[9] HU W,LIU Z.Partially blind source separation of continuous chaotic signals from linear mixture[J].IET Signal Processing,2008,2(4):424-430.
[10] ARENA P,BUSCARINO A,FORTUNA L,et al.Separation and synchronization of piecewise linear chaotic systems[J].Physical Review E,2006,74(2):6212.1-6212.11.
[11] TUNG W,GAO J,HU J,et al.Detecting chaos in heavy-noise environments[J].Physical Review E,2011,83(4):046210.1-046210.9.
[12] 张登科.基于ICA的盲信号分离正定性检验方法[J].电子学报,2012,40(11):2303-2308. ZHANG Deng-ke.Approaches for checking determinnancy in ICA-based BSS[J].Acta Electronica Sinica,2012,40(11):2303-2308.(in Chinese)
[13] BARROS A,CICHOCKI A.Extraction of specific signals with temporal structure[J].Neural Computing,2001,13:1995-2003.
[14] LIU W,MANDIC D,CICHOCKI A.Blind source extraction based on a linear predictor[J].IET Signal Processing,2007,1(1):29-34.
[15] SANO M,SAWADA Y.Measurement of the lyapunov spectrum from a chaotic time series[J].Physical Review Letters,1985,55(10):1082-1085.
[16] ROSENSTEIN M,COLLINS J,LUCA C.A practical method for calculating largest lyapunov exponents from small data sets[J].Physica D,1993,65(1):117-134.
[17] LYU S,WANG Z,HU Z,et al.Gradient method for blind chaotic signal separation based on proliferation exponent[J].Chinese Physics B,2014,23(1):010506.1-010506.6.
[18] 申元霞,曾传华,王喜凤,汪小燕.并行协作骨干粒子群优化算法[J].电子学报,2016,44(7):1643-1648. SHEN Yuan-xia,ZENG Chuan-hua,WANG Xi-feng,WANG Xiao-yan.A parallel-cooperative bare-bone particle swarm optimization algorithm[J].Acta Electronica Sinica,2016,44(7):1643-1648.(in Chinese)
[19] 赵吉,傅毅,梅娟.基于演化历史信息的自变异协同量子行为粒子群优化算法[J].电子学报,2016,44(12):2900-2907. ZHAO Ji,FU Yi,MEI Juan.An improved cooperative QPSO algorithm with adaptive mutation based on entire search history[J].Acta Electronica Sinica,2016,44(12):2900-2907.(in Chinese)
[20] 谢承旺,邹秀芬,夏学文,王志杰.一种多策略融合的多目标粒子群优化算法[J].电子学报,2015,43(8):1538-1544. XIE Cheng-wang,ZOU Xiu-fen,XIA Xue-wen,WANG Zhi-jie.A multi-objective particle swarm optimization algorithm integrating multiply strategies[J].Acta Electronica Sinica,2015,43(8):1538-1544.(in Chinese)
[21] CHEN H B,FENG J C,FANG Y.Blind extraction of chaotic signals by using the fast independent component analysis algorithm[J].Chinese Physics Letters,2008,25(2):405-408.