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《Mathematics in Practice and Theory》 2013-17
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General Sampling Theorem in the Shift Invariant Subspace in Two Dimensions

HAO Xiang-hui;LI Kun-hua;Department of Basic,Jiyuan Vocational and Technial College;Department of Mathematics,Zhengzhou University;  
Sampling theorem plays an important role in digital signal processing and image processing,but classical Shannon sampling theorem has its disadvantage in application.In this paper,sampling theorem in the shift invariant subspace in two dimension is studied.Firstly,some characterizations of samphng space are given.Then,determining set in the shift invariant subspace is classified.At last,by determining set in the shift invariant subspace,a sufficient and necessary condition that a function belongs to a sampling space is obtained.
【CateGory Index】: TN911.7;O212.2
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