The traditional nonlinear blind source separation(NBSS)algorithms often fall across the problem of local optimal solution to lead a lower separation precision. An NBSS algorithm based on improved particle swarm optimization(PSO)is proposed
where the multilayer perception(MLP)is used to fit the inverse of the nonlinear mixed process
and the mutual information between separated signals is regarded as the optimization objective(Fitness function of PSO)to realize the optimization of parameters in MLP. However
the canonical PSO algorithms usually suffer from particle premature problems and are easy to get into local optimal solution. Thus crossover and mutation operations are applied to the particles with lower fitness according to probability mechanism to efficiently increase the diversity of the particles
and the premature problem of canonical PSO is solved. The simulations and experiments show that compared with the linear blind source separation algorithm and the NBSS algorithm based on canonical PSO
the proposed algorithm enables to extract pure independent source information from mechanical information with nonlinear mixing and improve the separation precision of nonlinear mixed signals.
关键词
Keywords
references
JARDINE A K S, LIN D, BANJEVIC D. A review on machinery diagnostics and prognostics implementing condition-based maintenance [J]. Mechanical Systems and Signal Processing, 2006, 20(7): 1483-1510.
CHENG W, LEE S, ZHANG Z S, et al. Independent component analysis based source number estimation and its comparison for mechanical systems [J]. Journal of Sound and Vibration, 2012, 331(23): 5153-5167.
CHENG Wei, HE Zhengjia, ZHANG Zhousuo. Vibration source number estimation of shell structures based on independent component analysis [J]. Journal of Mechanical Engineering, 2014, 50(19): 73-79.
HAILE M A, DYKAS B. Blind source separation for vibration-based diagnostics of rotorcraft bearings [J/OL]. Journal of Vibration and Control, 2015 [2015-12-22]. http: ∥jvc.sagepub.com/content/early/2015 /01/21/1077546314566041.full.pdf+html.
LU Jiantao, CHENG Wei, ZI Yanyang, et al. Variable step-size algorithm for equivariant adaptive separation via independence [J]. Journal of Xi'an Jiaotong University, 2015, 49(12): 83-89.
WANG Fasong, LI Hongwei, SHEN Yuantong. An overview on nonlinear blind source separation: theory and algorithms [J]. Signal Processing, 2005, 21(3): 282-288.
FAN Tao, LI Zhinong, YUE Xiuting. Post_nonlinear blind separation of the source signals based on variational Bayesian theory and MLP [J]. Journal of Vibration and Shock, 2010, 29(6): 21-24.
LI Z S, PENG Z. A new nonlinear blind source separation method with chaos indicators for decoupling diagnosis of hybrid failures: a marine propulsion gearbox case with a large speed variation [J/OL]. Chaos, Solitons Fractals, 2015 [2015-12-22]. http: ∥www. sciencedirect.com/science/article/pii/S0960077915003 021.
TAKUYA K, KENYA J. A nonlinear blind source separation system using particle swarm optimization algorithm [J]. Journal of Signal Processing, 2013, 17(6): 255-264.
LI Ji, SUN Xiuxia, LI Shibo, et al. Improved particle swarm optimization based on genetic hybrid genes [J]. Computer Engineering, 2008, 34(2): 181-183.
TABLE A, JUTTEN C. Source separation in post-nonlinear mixtures [J]. IEEE Trans on Signal Processing, 1999, 47(10): 2807-2820.
LI W, YANG H Z. A non-linear blind source separation method based on perceptron structure and conjugate gradient algorithm [J]. Circuits Syst Signal Process, 2014, 33(11): 3573-3590.
KEMNDY J, EBERHART R C. Particle swarm optimization [C]∥Proceeding of IEEE International Conference on Neutral Networks. Piscataway, NJ, USA: IEEE, 1995: 1942-1948.
CLERC M, KENNEDY J. The particle swarm-explosion, stability, and convergence in a multidimensional complex space [J]. IEEE Trans on Evolutionary Computation, 2002, 6(1): 58-72.
CHOOSAK P. A particle swarm optimization for the vehicle routing problem [D]. Kinston, USA: University of Rhode Island, 2014.