Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2009.393.397WuGuochang ZhangYadong ChengZhengxing 3200983In this study, the cardinal orthogonal scaling function
in higher dimension is classified by the relation the highpass filter
coefficient and wavelet`s samples in its integer points, thus, the sampling
theorem in the wavelet subspace is obtained. Then, the symmetry property
of cardinal orthogonal scaling function is discussed, and some useful
characterizations are given. At last, two examples are constructed to
prove the theory.]]>Ahmed, I.Z.,2001Janssen, A.J.E.M.,1993Aldroubi, A. and M. Unser,1992Long, R.,1995Walter, G.G.,1992Unser, M.,2000Wu, G.C., Z.X. Cheng and X.H. Yang,2007Xia, X.G. and Z. Zhang,1993