Sampling Theorems with Shannon's Type in Wavelet Subspace
Dezhi Gao · Journal of Shandong University of Science and Technology · 2007
The sampling theorem with Shannon's type in wavelet subspace is presented.Under weak hypotheses,the scaling function possessed of an interpolating property is constructed here by arbitrary orthogonal scaling function.Based on scaling function generated by our method,the sampling theorem with Shannon's type in wavelet subspace is established.In particular,the Walter sampling theorem is a special case.