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一种新的参数估计方法及其在混沌信号盲分离中的应用
引用本文:王世元,冯久超.一种新的参数估计方法及其在混沌信号盲分离中的应用[J].物理学报,2012,61(17):170508-170508.
作者姓名:王世元  冯久超
作者单位:1. 西南大学电子信息工程学院,重庆,400715
2. 华南理工大学电子与信息学院,广州,510641
基金项目:国家自然科学基金(批准号: 61101232, 60872123, U0835001)和西南大学博士基金(批准号: SWU111027)资助的课题.
摘    要:为了有效地估计非线性映射中的参数,本文采用一种容积准则近似该映射的加权积分函数. 基于由状态空间模型建模的参数,提出了一种新的参数估计方法. 混沌信号的盲分离是一种具有挑战性的参数估计问题.将新的参数估计方法应用在该问题上, 实现混沌信号的有效重构.仿真结果表明该算法具有较快的收敛速度和较高的数值精度, 并能有效地分离原始混沌信号.

关 键 词:参数估计  容积准则  盲分离  混沌信号
收稿时间:2011-12-14

A novel method of estimating parameter and its application to blind separation of chaotic signals
Wang Shi-Yuan,Feng Jiu-Chao.A novel method of estimating parameter and its application to blind separation of chaotic signals[J].Acta Physica Sinica,2012,61(17):170508-170508.
Authors:Wang Shi-Yuan  Feng Jiu-Chao
Institution:1. School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;2. School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, China
Abstract:To estimate effectively parameters of nonlinear mapping, a cubature rule is used to approximate the weighted integral of this mapping. In this paper, based on these parameters modeled by a state-space model, a novel parameter estimation is proposed. Blind separation of chaotic signals is a challenging problem. The proposed method is used to solve this problem to achieve the effective reconstruction of chaotic signals. Simulation results indicate that the proposed method has a faster convergence speed and a higher numerical accuracy, and can effectively separate original chaotic signals.
Keywords:parameter estimation  cubature rule  blind separation  chaotic signal
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