Improved locality for irregular sampling algorithms

Authors:
H. G. Feichtinger;T. Werther
Affiliations:
Dept. of Math., Wien Univ., Austria;-
Venue:
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 06
Year:
2000

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Abstract

This paper presents a method for the reconstruction of bandlimited functions from non-uniform samples by means of synthesis functions. We state explicit worst-case estimates which depend on the bandwidth and the sampling density. The proposed reconstruction method uses oversampling to deduce well-localized synthesis functions which improve the locality properties of the reconstruction. As a consequence, the resulting algorithm is suitable for local recovery of bandlimited signals from sufficiently dense local sampling information. The theoretical results are confirmed by numerical examples based on a finite-dimensional model described.