A Sampling Theorem with Compact Support for Wavelet Subspaces
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Abstract:
This paper disusses the sampling theorem and property for wavelet subspaces and cardinal orthogonal scaling function,on the basis of it,generilized cardinal orthogonal scaling function is presented,and it is proved that there is sufficient and necessary condition to construct sampling function with compact support for wavelet subspaces.Finally,the property of generilized cardinal orthogonal scaling functionl is studied.
