Compactly Supported 4-bank Bisymmetric Orthonormal Wavelet Bases
Zheng Guo · World Sci-tech R & D · 2006
This paper defines a new concept of bi-symmetry for multi-bank wavelets. By extending the theory of multi-resolution analysis to multi-bank wavelets,this paper also focuses on the study of 4-bank compactly supported bi-symmetric orthonormal wavelets. Investigates have shown that there is a class of 4-bank compactly supported orthonormal wavelets with bi-symmetry,in which any wavelet system can be determined uniquely by its low-pass filter. Thus,the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reserved for application requirement. Some concrete examples with high vanishing moments are also given. These wavelets can process the boundary conveniently,and enjoy the highly efficient computations in application. This class of wavelets can provide lots of choices for application.