Band-limited interpolation from unevenly spaced sampled data

The author addresses the problem of reconstructing a bandlimited signal from a finite number of its unevenly spaced sampled data. A Fourier analysis of the available unevenly spaced sampled data is presented. The result is utilized to develop an interpolation scheme from the available data. Conditions for accurate reconstruction are examined. Algorithms to implement the reconstruction scheme are discussed. The method's application to one-dimensional and two-dimensional reconstruction problems is shown.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>