混沌背景下微弱谐波信号的恢复  

Recovery of weak harmonic signals in chaos

作　　者：王国光[1] 王树勋[1] 

机构地区：[1]吉林大学通信工程学院,长春130022

出　　处：《吉林大学学报（工学版）》2006年第3期422-428,共7页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金资助项目(60172032)

摘　　要：提出一种新的从混沌干扰中恢复微弱谐波信号的方法。首先根据混沌的几何性质,融合相空间重构技术和离散余弦变换,建立了一种新的分离谐波信号相空间投影方法。然后,从功率谱密度估计中提取谐波信号的频率,利用最小二乘估计提高谐波信号的恢复精度。仿真实验表明该方法具有高度的稳定性和可靠性。A novel method to recover the weak harmonic signals from the measured data contammated with me chaotic interference was proposed. A new phase space projection method was established to separate the harmonic signals from the strong chaos by combining the phase space reconstruction with the cosine transformation based on the geometry of chaos. The power spectrum estimation was used to extract the frequency of harmonic signals, and the least-squares procedure was applied to increase the recovery accuracy of the harmonic signals. Computer simulation verified that this method have high stability and reliability in recovering the weak signals in the chaos.

关 键 词：信息处理技术 谐波恢复 余弦变换 混沌 相空间重构 

分 类 号：TN912.34[电子电信—通信与信息系统]