摘要
利用一类带特征值问题的积分方程的解来构造多分辨分析,给出了多分辨分析构造的一种新方法,而且可以得到性质很好的尺度函数和小波函数.对于积分方程应用再生核解法进行求解,并应用数学软件进行数值求解.最后给出具体的算例说明方法的有效性.
A new method which forms the multiresolution analysis through the solution of integral equation with the eigenvalue problem is introduced. Moreover, the scaling and wavelet functions with better character are obtained. As the integral equation, the authors use the reproducing kernel method to seek the solution, and seek the numerical solution by the Mathematic software. Final examples show that this method is effective.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2005年第2期259-266,共8页
Journal of Natural Science of Heilongjiang University
关键词
多分辨分析
积分方程
特征值
傅立叶变换
multiresolution analysis
integral equation
eigenvalue
Fourier transform
