Universal truncation error upper bounds in sampling restoration
نویسندگان
چکیده
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented for the Whittaker–Kotel'nikov–Shannon (WKS) sampling restoration sum for Bernstein function classes B q π,d , q > 1, d ∈ N, when the decay rate of the sampled functions is unknown. The case of regular sampling is discussed. Extremal properties of related series of sinc functions are investigated.
منابع مشابه
Universal truncation error upper bounds in irregular sampling restoration
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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ورودعنوان ژورنال:
- CoRR
دوره abs/1307.3346 شماره
صفحات -
تاریخ انتشار 2013