RECONSTRUCTION OF BAND-LIMITED PROCESSES FROM IRREGULAR SAMPLES

被引：5

作者：

HOUDRE, C

机构：

[1] UNIV N CAROLINA, CTR STOCHAST PROC, DEPT STAT, CHAPEL HILL, NC USA

[2] GEORGE MASON UNIV, CTR COMPUTAT STAT, FAIRFAX, VA 22030 USA

[3] UNIV MARYLAND, DEPT MATH, COLLEGE PK, MD USA

来源：

ANNALS OF PROBABILITY | 1995年 / 23卷 / 02期

关键词：

IRREGULAR SAMPLING; BAND-LIMITED PROCESSES; MISSING DATA; FRAMES; NONSTATIONARY PROCESSES; L(ALPHA) AND ALMOST EVERYWHERE CONVERGENCE;

D O I：

10.1214/aop/1176988284

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：674 / 696

页数：23

共 21 条

[1]

Alexits G., 1961, CONVERGENCE PROBLEMS

[2]

BELAYEV YK, 1959, THEOR PROBAB APPL, V4, P402

[3]

Benedetto J., 1990, NOTE MAT, V10, P103

[4] SAMPLING THEOREMS AND BASES IN A HILBERT SPACE [J].