小波包分解及其参数模型

Wavelet packet decomposition and its parametric model

本文在小波包分析的基础之上，实现了适合于一维信号分析的小波包分解算法，并将小波包分析理论和参数模型有机地结合了起来，构造出了小波包参数模型。利用小波包参数模型可以用来计算信号的AR谱和AR谱谱阵，对模拟信号的计算结果表明，小波包AR谱谱阵具有很高的时频分辨率，并且对信号的快变成分及微弱成分具有较高的检测能力．．

On the basis of wavelet packet analysis theory we have realized the algorithm of wavelet packet decomposition properly to 1-dimension signals, and wedding the wavelet packet analysis theory and the parametric model to construct the Wavelet Packet Parametric Model (WPPM). We can use the WPPM to estimate the AR Spectrum (ARS) and the AR Spectrum Array (ARSA). The analyzing results to analogic signal illustrate that the WPPM has very high time-frequency resolution,and it has the ability to detecting the rapid changing and the weak components of the signal.