Recovery error bounds on compressed sensing of noisy signals. (22nd October 2013)

• Record Type: Journal Article
• Authors: Rateb, Ahmad M.; Yusof, Sharifah K. S.
• Is Part Of: International journal of communication systems. Volume 28:Number 3(2015)
• Page Start: 546
• Page End: 559
• Publication Date: 2013-10-22
• Subjects: Telecommunication systems -- Periodicals; 621.382
• DOI: 10.1002/dac.2686
• Languages: English
• ISSNs: 1074-5351

Abstract

<abstract abstract-type="main"> <title>Summary</title> <p>Compressed sensing is an emerging technique in the field of digital signal acquisition. It promises almost exact recovery of high‐dimensional signals from a very small set of measurements. However, this technique is challenged by the task of recovering signals immersed in noise. In this paper, we derive upper and lower bounds on mean squared recovery error of noisy signals. These bounds are valid for any number of acquired measurements and at any signal‐to‐noise ratio. This work is highly useful for the design of any compressed sensing‐based real world application by quantifying recovery error entailed with realistic digital signal acquisition scenarios. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>