RECONSTRUCTION OF BAND-LIMITED PROCESSES FROM IRREGULAR SAMPLES

The problem of recovering, say, a band-limited weakly stationary proce ss from a set of its irregularly spaced samples is studied. For rather general sampling sequences some sufficient conditions ensuring mean s quare or pathwise reconstruction are obtained. For the cases of regula r samples with either finitely many missing ones and/or finitely many irregular ones, a necessary and sufficient condition is presented. Som e elements of the proofs involve classical results on nonharmonic Four ier series as well as more recent results on frames.