AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES
نویسندگان
چکیده
منابع مشابه
An Analysis Method for Sampling in Shift-Invariant Spaces
A subspace V of L2(R) is called shift-invariant if it is the closed linear span of integershifted copies of a single function. As a complement to classical analysis techniques for sampling in such spaces, we propose a method which is based on a simple interpolation estimate of a certain coefficient mapping. Then we use this method for deriving both new results and relatively simple proofs of so...
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This article concerns the problem of stable recovering of any function in a shiftinvariant space from irregular samples of some filtered versions of the function itself. These samples arise as a perturbation of regular samples. The starting point is the generalized regular sampling theory which allows to recover any function f in a shiftinvariant space from the samples at {rn}n∈Z of s filtered ...
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This article discusses modern techniques for non-uniform sampling and reconstruction of functions in shift-invariant spaces. The reconstruction of a function or signal or image f from its non-uniform samples f(xj) is a common task in many applications in data or signal or image processing. The non-uniformity of the sampling set is often a fact of life and prevents the use of the standard method...
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Abstract— In this paper, 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 improv...
متن کاملOn Sampling in Shift Invariant Spaces
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 impro...
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ژورنال
عنوان ژورنال: International Journal of Wavelets, Multiresolution and Information Processing
سال: 2005
ISSN: 0219-6913,1793-690X
DOI: 10.1142/s0219691305000877