用滤波器组实现IF的提取;Hardy小波和快速算法

本文提出了一种新的基于滤波器组和复解析小波(Hardy小波)级数展开信号从而提取信号瞬时频率的方法.该方法较传统的Hilbert变换求解析信号的方法比较对更多种类的噪声不敏感,同时较基于连续复解析小波变换的提取瞬频方法有更小的计算量,该方法保留了塔式算法的结构.

The Extraction of Instantaneous Frequency Via Filter Banks; Hardy Wavelets and Fast Algorithms

In this paper we described a new method with which we can extract the instantaneous frequency from a signal embedded in Guassian noise. The methods based on the filter banks techniques and Hardy wavelets scries theory. It has the better performances in denoising than the traditional methods based on Hilbert transform while it can decrease the complexity of algorithms based on the continuous complex analytical wavelet transform.. It is noted the algorithm keep the algorithmic structure of multiresolution analysis.