混沌中谐波信号的一种新的频率估计方法

2011 11th International Symposium on Communications & Information Technologies (ISCIT) Pub Date : 2011-12-01 DOI:10.1109/ISCIT.2011.6089722

Haixin Sun, Yaowu Shi, Xiaodong Sun

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引用次数: 0

摘要

本文提出了一种估计嵌入在强混沌干扰中的谐波信号频率的新方法。该方法基于小波多尺度分解算法和相关理论。由于谐波信号和混沌干扰的统计特性不同，采用小波多尺度分解算法将谐波信号从混沌干扰中分离出来，并应用相关理论估计谐波信号的频率。本文还研究了混沌干涉中存在高斯白噪声的情况。该方法既不需要动力学方程，也不需要混沌干涉的相空间重构。理论分析和仿真结果验证了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A novel frequency estimation method for harmonic signal in chaos

In this paper, we present a new method to estimate the frequencies of the harmonic signals embedded in strong chaotic interference. The method is based on wavelet multi-scale decomposition algorithm and correlation theory. Since the statistical characteristics of the harmonic signal and the chaotic interference are different, we use wavelet multi-scale decomposition algorithm to separate the harmonic signal from the chaotic interference and apply correlation theory to estimate the frequencies of the harmonic signals. The case in which white Gaussian noise exists in the chaotic interference is also studied in the paper. The method does not need either the dynamical equation or the reconstruction of the phase space of the chaotic interference. Theoretical analysis and simulation results validate the effectiveness of the proposed method.

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2011 11th International Symposium on Communications & Information Technologies (ISCIT)

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