RECONSTRUCTION OF BAND-LIMITED PROCESSES FROM IRREGULAR SAMPLES
成果类型：
Article
署名作者：
HOUDRE, C
署名单位：
University of North Carolina; University of North Carolina Chapel Hill; George Mason University; University System of Maryland; University of Maryland College Park
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176988284
发表日期：
1995
页码：
674-696
关键词：
摘要：
The problem of recovering, say, a band-limited weakly stationary process from a set of its irregularly spaced samples is studied. For rather general sampling sequences some sufficient conditions ensuring mean square or pathwise reconstruction are obtained. For the cases of regular samples with either finitely many missing ones and/or finitely many irregular ones, a necessary and sufficient condition is presented. Some elements of the proofs involve classical results on nonharmonic Fourier series as well as more recent results on frames.