Construction of symmetric orthonormal multiwavelets

Abstract

For multiwavelets can possess the character of compact support, orthogonality, symmetry and antisymmetry at the same time compared with scalar wavelet except Haar wavelet, we present a new method of constructing the length-(2N+l) symmetric orthonormal multiwavelet system with multiplicity 2 from any length-2N symmetric orthonormal multiwavelet system with multiplicity 2 and vice versa. Then, we give the example of constructing multiwavelet system using our method. At last, we apply this multiwavelet system to image denoising and obtain the better result than GHM multiwavelet and CL multiwavelet.