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Universal truncation error upper bounds in irregular sampling restoration (1307.3332v1)
Published 12 Jul 2013 in cs.IT and math.IT
Abstract: Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein function class $B_{\pi,d}q\,,\ q \ge 1,$ $d\in \mathbb N\,,$ when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.