基于谐波小波包理论检测微弱信号的研究

谐波小波作为一类小波,存在明确的函数表达式,算法实现简单,时频定位准确,且在频域具有良好的盒形谱特性。作为谐波小波变换的延伸,谐波小波包变换能够实现对任意频段的无限细化,将信号分解到感兴趣的频段。在此基础上,提出将谐波小波包理论用于微弱信号的检测。利用谐波小波包变换对微弱信号进行处理,成功实现了对微弱信号的时域重构和频域提取。通过仿真实验,说明谐波小波包方法在微弱信号检测方面,是一种有效的手段。

Applying harmonic wavelet packet detecting weak signal

Harmonic wavelet is a class of wavelet,and it has following advantages:existing certain function expression;algorithm is simpler;locating more precisely in time-frequency domain;and possessing the excellent box-like spectrum in frequency domain.As the extension of harmonic wavelet transform,harmonic wavelet packet transform can be achieved on any frequency of infinite refinement,the signal is decomposed into frequency bands of interest.On this basis,the theory of applying harmonic wavelet packet detecting w...