Convergence rate in multidimensional irregular sampling restoration
نویسندگان
چکیده
منابع مشابه
A multidimensional irregular sampling algorithm and applications
For a given spiral, a bandwidth B can be chosen and a sequence S can be constructed on the spiral with the property that all nite energy signals having bandwidth B can be reconstructed from sampled values on S. The bandwidth can be expanded as desired, and reconstruction is attained by constructing sampling sets on interleaving spirals. This solves a problem in MRI; and the algorithm can be mod...
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The classical WKS sampling theorem has been extended to the case of nonuniform sampling by numerous authors. For detailed information on the theory and its numerous applications, we refer to the book [15]. Most known irregular sampling results deal with Paley–Wiener functions which have L2(R) restrictions on the real line. It seems that the best known nonuniform WKS sampling results for entire ...
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Analyzing physical phenomena using a computer inevitably requires to bridge between the continuous nature of the physical phenomena and the discrete nature of computers. This bridging is known as sampling. The continuous signal is sampled such that it is represented by a discrete set of samples. The sampling scheme used to discretize the signal is often irregular. This may be due to either the ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2009
ISSN: 1846-579X
DOI: 10.7153/jmi-03-55