Paper Info
Title
Whittaker-type derivative sampling reconstruction of stochastic Lalpha(Omega)-processes
Abstract
Mean square and almost sure Whittaker-type derivative sampling theorems are obtained for the class Lα(Ω,F,P); 0⩽α⩽2 of stochastic processes having spectral representation, with the aid of the Weierstraß σ function. Functions of this class are represented by interpolatory series. The results are valid for harmonizable and stationary processes (α=2) as well. The formulæ are interpreted in the α-mean sense and also in the almost sure P sense when the initial signal function and its derivatives (up to some fixed order) are sampled at the points of the integer lattice Z2. The circular truncation error is introduced and used in the truncation error analysis. Finally, sampling sum convergence rate is provided.
Year
DOI
Venue
2007
10.1016/j.amc.2006.08.137
Applied Mathematics and Computation
Keywords
DocType
Volume
Almost sure P convergence,α-Mean convergence,α-Mean derivatives,Catalan constant,Circular truncation error,Derivative sampling,Karhunen-processes,Lα(Ω,F,P)-Processes,Piranashvili α-processes,Plane sampling reconstruction,Sampling truncation error upper bounds,Weierstraß sigma-function,Whittaker-type sampling formula
Journal
187
Issue
ISSN
Citations 
1
0096-3003
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Tibor Pogány13213.73