Perturbed sampling formulas and local reconstruction in shift invariant spaces
نویسندگان
چکیده
منابع مشابه
Local reconstruction for sampling in shift-invariant spaces
The local reconstruction from samples is one of most desirable properties for many applications in signal processing, but it has not been given as much attention. In this paper, we will consider the local reconstruction problem for signals in a shiftinvariant space. In particular, we consider finding sampling sets X such that signals in a shift-invariant space can be locally reconstructed from ...
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This article discusses modern techniques for nonuniform sampling and reconstruction of functions in shift-invariant spaces. It is a survey as well as a research paper and provides a unified framework for uniform and nonuniform sampling and reconstruction in shiftinvariant spaces by bringing together wavelet theory, frame theory, reproducing kernel Hilbert spaces, approximation theory, amalgam s...
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Abstract. We present a new method for the fast reconstruction of a function f from its samples f(xj) under the assumption that f belongs to a shift invariant space V (φ). If the generator φ has compact support, then the reconstruction is local quite in contrast to methods based on band-limited functions. Using frame theoretic arguments, we show that the matrix of the corresponding linear system...
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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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.12.011