Improved locality for irregular sampling algorithms

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