Reconstruction of bandlimited signal with lost samples at its Nyquist rate-the solution to a nonuniform sampling problem

Abstract

We present a formula for the sample values f(n/sub j//2W), j=1, ..., N, of a W-bandlimited finite energy signal f in terms of the remaining sample values f(n/2W), n/spl ne/n/sub j/, j=1, ..., N, and N sample values f(y/sub j/), j=1, ..., N with y/sub j//spl ne/n/2W, n/spl isin/Z but otherwise arbitrarily chosen.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>