Dynamical sampling: Time-space trade-off

被引：59
作者：
Aldroubi, Akram [1 ]
Davis, Jacqueline [1 ]
Krishtal, Ilya [2 ]
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[2] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
来源：
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2013年 / 34卷 / 03期
基金：
美国国家科学基金会;
关键词：
Distributed sampling; Reconstruction; Wiener denoising; Frames; FIELDS; FRAMES;
D O I：
10.1016/j.acha.2012.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of spatiotemporal sampling in which an initial state of an evolution process is to be recovered from a set of samples at different time levels. We are particularly interested in lossless trade-off between spatial and temporal samples. We show. that for a special class of signals it is possible to recover the initial state using a reduced number of measuring devices activated more frequently. We present several algorithms for this kind of recovery and describe their robustness to noise. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：495 / 503
页数：9
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