基于时频分析的混沌噪声背景下谐波信号频率估计  

Estimation of Harmonic Signal Frequency under Chaos Noise Background Based on Time-frequency Analysis

作　　者：孙海欣[1] 佐藤礼华 

机构地区：[1]长春大学电子信息工程学院,长春130022 [2]大阪电气通信大学综合信息学院,大阪5408570

出　　处：《长春大学学报》2017年第12期19-23,共5页Journal of Changchun University

基　　金：教育部"春晖计划"项目(Z2016016);吉林省教育厅项目(吉教科合字[2014]第306号)

摘　　要：利用小波变换法和相关法结合对混沌噪声背景下谐波信号的频率进行估计。根据混沌噪声与谐波信号在不同分解尺度上具有不同的能量聚集性的特点,采取不同的尺度系数对含有混沌噪声的谐波信号进行Daubechies小波重构,将混沌噪声和谐波信号分离,得到谐波信号的估计值。再进一步对谐波信号的估计值进行计算,即可得出谐波信号的频率。理论分析和仿真实验表明,该方法对淹没在混沌噪声背景下谐波信号的频率估计是非常有效的,当信噪比较低时,仍可以有效地估计出谐波信号的频率。The method with a combination of wavelet transform method and correlation method is used to estimate the frequency of the harmonic signal under chaotic noise background. Since the energy aggregations of the chaotic noise and the harmonic signal are different in different wavelet decomposition scales,the chaotic noise can be separated from the harmonic signal by exploiting different Daubechies wavelet scales coefficients to reconstruct the two signals. Then the estimated value of the harmonic signal can be got. Finally,the autocorrelation method is employed to calculate the frequency of the estimated harmonic signal. Theoretical analysis and simulation experiment illustrate that the proposed method is effective in estimating the frequency of harmonic signal under chaotic noise background,even if the signal to noise ratio is very low.

关 键 词：混沌噪声 小波变换 相关法 频率估计 

分 类 号：TN911.7[电子电信—通信与信息系统]