关键词: 混沌信号/
盲提取/
核函数/
人工蜂群算法
English Abstract
Blind chaotic signal extraction based on artificial bee colony algorithm
Li Guang-Ming1,Hu Zhi-Hui2
1.School of Computer Science, Dongguan University of Technology, Dongguan 523808, China;
2.School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 61170216, 60872123).Received Date:28 May 2016
Accepted Date:30 August 2016
Published Online:05 December 2016
Abstract:This paper is to deal with the blind extraction problem of chaotic signals by using a linear mixing model. In this model, a novel method to describe the distance function in a high dimensional space is proposed which relates the kernel function to objective function. When adopting the artificial bee colony algorithm (ABCA) as an alternative method to solve a multi-modal optimization problem, its analysis under a Markov chain model is also presented. The simulation results show that the objective function of this article has low complexity, and the artificial bee colony algorithm converges to a local minimum quickly. To be specific, the target function is constructed by combining the advantages of the proliferation exponent and the distance kernel function. The proliferation exponent can reflect the chaotic properties of a signal to a large extent, and the distance kernel can help to describe the statistical properties in a higher dimension. Due to the fact that only one frame of time-delay embedded signal is adopted, the computational complexity of our target function is low. The artificial bee colony algorithm is shown to be advantageous over other swarm algorithms. Although adopting ABCA for our evaluation function seems easy, we analyze why this algorithm can work, in contrast to the fact that most literature only runs some simulations to confirm its usefulness. Our analysis is only for a special case when the number of employed bees is set to be 2 and the process of onlooker bees and scouts are temporarily omitted. With smaller complexity than the methods based on proliferation exponents and kurtosises, simulations show that our method can have excellent performance when evaluated by correlation coefficients.
Keywords: chaotic signal/
blind extraction/
kernel function/
artificial bee colony algorithm
