基于局域线性法和卡尔曼滤波的强混沌背景下正弦信号恢复的混合算法

LL-P-KF Hybrid Algorithm for Detecting and Recovering Sinusoidal Signal in Strong Chaotic Noise

本文提出一种局域线性-周期图检测-卡尔曼滤波混合算法LL-P-KF,用来恢复强混沌背景下正弦信号.首先,建立混沌信号的一步预测模型;然后,利用周期图检测潜在周期;最后,应用卡尔曼滤波从误差中恢复正弦信号.仿真实验表明该混合算法具有较好的恢复效果.

The paper proposes a local linear-periodogram-Kalman filtering（ LL-P-KF） hybrid algorithm. Firstly,a local linear method is established; secondly, the periods of sinusoidal signal are detected from modeling error by using periodogram;finally, the sinusoidal signal is recovered from the error by using Kalman filtering. Simulation results show that the LL-P-KF hybrid algorithm has better recovery results.