Title :
A sampling theorem for shift-invariant subspace
Author :
Chen, Wen ; Itoh, Shuichi
Author_Institution :
Dept. of Inf. Network Sci., Univ. of Electro-Commun., Tokyo, Japan
fDate :
10/1/1998 12:00:00 AM
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
Keywords :
Z transforms; signal sampling; Zak transform; regular sampling; sampling theorem; shift sampling; shift-invariant subspace; sufficient-necessary condition; Constraint theory; Discrete Fourier transforms; Discrete transforms; Electronic mail; Fourier transforms; Information systems; Multiresolution analysis; Sampling methods; Signal processing; Signal sampling;
Journal_Title :
Signal Processing, IEEE Transactions on
