Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Local and global convergence behavior of nonequidistant sampling series
 IEEE Signal Processing Society: IEEE International Conference on Acoustics, Speech, and Signal Processing 2009. Proceedings. Vol.5 : April 19  24, 2009, Taipei International Convention Center, Taipei, Taiwan Piscataway/NJ: IEEE, 2009 ISBN: 9781424423538 ISBN: 9781424423545 pp.29452948 
 International Conference on Acoustics, Speech, and Signal Processing (ICASSP) <34, 2009, Taipei> 

 English 
 Conference Paper 
 Fraunhofer HHI () 
 signal sampling; stochastic process 
Abstract
In this paper we analyze the local and global convergence behavior of sampling series with nonequidistant sampling points for the PaleyWiener space PW(sub pi)(sup 1) and sampling patterns that are made of the zeros of sinetype functions. It is proven that the sampling series are locally uniformly convergent if no oversampling is used and globally uniformly convergent if oversampling is used. Furthermore, we show that oversampling is indeed necessary for global uniform convergence, because for every sampling pattern there exists a signal such that the peak value of the approximation error grows arbitrarily large if no oversampling is used. Finally, we use these findings to obtain similar results for the meansquare convergence behavior of sampling series for bandlimited widesense stationary stochastic processes.