Reconstruction of bandlimited signals from their unevenly-spaced sampled data

Abstract

This paper addresses the problem of reconstructing a bandlimited signal from a finite number of its unevenly-spaced sampled data. We present the main results for a Fourier analysis of the available data [10] done in a framework similar to Shannon's sampling theorem for evenly-spaced data. The results are then utilized to determine the required constraints and algorithms for accurate reconstruction.