A sampling theorem for shift-invariant subspace

Authors:
Wen Chen;S. Itoh
Affiliations:
Dept. of Inf. Network Sci., Univ. of Electro-Commun., Tokyo;-
Venue:
IEEE Transactions on Signal Processing
Year:
1998

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Abstract

A sampling theorem for regular sampling in shift-invariant subspaces is established. The sufficient-necessary condition for which it holds is found. Then, the theorem is modified to the shift sampling in shift-invariant subspaces by using the Zak transform. Finally, some examples are presented to show the generality of the theorem