CONSTRVCTION OF COMPACTLY SUPPORTED SYMMETRIC AND ANTISYMMETRIC ORTHONORMAL WAVELETS
紧支撑正交对称和反对称小波的构造

The objective of this paper is to exhibit the construction of compactly supported orthonormal symmetric scaling functions with scaling factor a=4 and the three corresponding compactly supported orthonormal wavelets,one of which is symmetric and the others are antisymmetric. The orthonormal wavelets of L2(R) isn't unique. It is possible to choose "good" base from a lot of wavelets base. Examples of scaling functions and wavelets are given.