复解析子波的一种简单构造方法

首先讨论并给出复解析子波构造条件 ,在综合 Bubble子波和超高斯谱子波构造基础上 ,提出一类新的复解析子波函数 ,该类子波在频域具有简明的解析表达式 ,然后从频域和时域两方面对新的子波性能进行了研究。根据本文的构造方法 ,调整少量的几个耦合性较弱的控制参量 ,可得到许多具有不同性能的子波函数

A Simple Method of Constructing Complex Analytic wavelets

A novel class of complex analytic wavelet functions,the wavelet having simple and explicit analytic expression in frequency domain,is presented based on the method of constructing Bubble wavelet and super Gaussian spectrum wavelet.Firstly,the conditions of constructing complex analytic wavelets are discussed,and then the performance of the new wavelets is studied in frequency domain and time domain.According to the method of constructing wavelets,discussed in this paper,a number of complex analytic wavelet functions with different characteristics can be obtained through adjusting a few of control parameters with loose coupling.