On Sampling in Shift Invariant Spaces
نویسندگان
چکیده
In this correspondence, a necessary and sufficient condition for sampling in the general framework of shift-invariant spaces is derived. Then this result is applied, respectively, to the regular sampling and the perturbation of regular sampling in shift-invariant spaces. A simple necessary and sufficient condition for regular sampling in shift-invariant spaces is attained. Furthermore, an improved estimate for the perturbation is derived for the perturbation of regular sampling in shift-invariant spaces. The derived estimate is easy to calculate, and shown to be optimal in some shift-invariant spaces. The algorithm to calculate the reconstruction frame is also presented in this correspondence.
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تاریخ انتشار 2001