Efficient algorithms in irregular sampling of band-limited functions
作者： K. Grochenig
关键词: Slice sampling 、 Mathematical optimization 、 Iterative method 、 Computer science 、 Rate of convergence 、 Nyquist–Shannon sampling theorem 、 Approximation algorithm 、 A priori estimate 、 Sampling (statistics) 、 Iterative reconstruction 、 Algorithm
摘要: The author discusses some recent algorithms for the iterative reconstruction of band-limited signals from irregularly sampled values. It is shown that a simplified version these allows quantitative theory irregular sampling. emphasis on aspects. Explicit estimates are given required sampling density and rate convergence iteration algorithm. shows this algorithm converges yields complete signal randomly distributed sequence, provided distance between adjacent points at most Nyquist distance. An priori estimate number iterations to achieve certain accuracy approximation original signal. >
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