11-9双正交小波的构造与提升分解

Construction of 11-9 Biorthogonal Wavelets and Lifting Factorization

构造了一种分解与重构分别为11和9的对称双正交小波(11-9小波);利用提升的思想,对其进行了提升分解,并对提升分解的系数进行了二进制取整(Zrkkr,,2/),从而实现了只需移位和整数加法的11-9小波快速算法(12个移位和19个整数加法).

This paper proposes the method for constructing symmetric biorthogonal wavelet with lengths 11 and 9 for factorization and reconstruction. Using lifting scheme and truncating the coefficients, a simply binary integer wavelet is achieved, so 11-9 integer wavelet only contain shift and additions required is proposed.