一类混沌背景中正弦信号的提取

利用信号的尺度特性,提出了一种应用小波多尺度分解算法进行混沌信号的降噪及从混沌背景中分离正弦信号的方法。该方法不需要已知产生混沌信号的数学模型以及要求叠加在混沌背景中其他信号的幅度远远小于混沌背景信号的幅度的假定,便可从Lorenz混沌背景下提取正弦信号。计算机仿真结果表明:该方法具有实现简单、鲁棒性好、计算量小等优点。

Sinusoidal Signal Extraction from a Kind of Chaotic Background

Using waveform local feature of signal in time-frequency domain and its linearity, in order to reduce noise and extract harmonic signal from chaotic background, a wavelet multi-scaling decomposition algorithm was proposed. This algorithm does not need to know mathematical model of the chaotic background and the assumption that other signal amplitude should be much smaller than that of the background neither and can be used to extract sinusoidal signal from Lorenz chaotic environment. Simulation results show that the proposed algorithm is easily implemented, robust, and less complicated in calculation.