Sampling from a system-theoretic viewpoint: Part I - Concepts and tools

Meinsma, Gjerrit and Mirkin, Leonid (2010) Sampling from a system-theoretic viewpoint: Part I - Concepts and tools. IEEE Transactions on Signal Processing, 58 (7). pp. 3578-3590. ISSN 1053-587X

Preview

PDF
560Kb

Abstract:	This paper is first in a series of papers studying a system-theoretic approach to the problem of reconstructing an analog signal from its samples. The idea, borrowed from earlier treatments in the control literature, is to address the problem as a hybrid model-matching problem in which performance is measured by system norms. In this paper we present the paradigm and revise underlying technical tools, such as the lifting technique and some topics of the operator theory. This material facilitates a systematic and unified treatment of a wide range of sampling and reconstruction problems, recovering many hitherto considered different solutions and leading to new results. Some of these applications are discussed in the second part.
Item Type:	Article
Copyright:	© 2010 IEEE
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/73704
Official URL:	http://dx.doi.org/10.1109/TSP.2010.2047641
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page