Abstract

We consider the interpolation and prediction of continuous-time second-order random processes from a finite number of randomly sampled observations using Lagrange polynomial estimators. The sampling process (t/sub 1/) is a general stationary point process on the real line. We establish upper bounds on the mean-square interpolation and prediction errors and determine their dependence on the mean sampling rate /spl beta/ and on the number of samples used. Comparisons with the Wiener-Hopf estimator are given.

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