一种半正交小波的代数构造方法

A construction of semi-orthogonal wavelet

提出一种关于B样条半正交小波基的代数构造方法 ,这种方法仅需函数空间构造知识和线性代数知识就可以实现 ,比现有的小波构造方法简单 .此外 ,同样的方法可以用于求解双正交小波基和其对偶小波以及相应的提升逼近程度的小波函数 .

An algorithm of semi-orthogonal wavelet construction was proposed based on B-spline. The algorithm can be realized only by knowledge of algebra and linear function space. So it is easier to understand than existing methods. According to this idea, all the construction of semi-orthogonal wavelet with limit length can be solved by changing it into a liner algebraical problem. It can also be used in resolving the wavelets function of biorthogonal, the wavelets function of dual and the corresponding wavelets function of lifting closing degree.