CaltechAUTHORS
  A Caltech Library Service

Applications of sparse approximation in communications

Gilbert, A. C. and Tropp, J. A. (2005) Applications of sparse approximation in communications. In: International Symposium on Information Theory (ISIT '05), Adelaide, Australia, 4-9 September 2005. IEEE , Piscataway, NJ, pp. 1000-1004. ISBN 0-7803-9151-9 http://resolver.caltech.edu/CaltechAUTHORS:GILisit05

[img]
Preview
PDF
See Usage Policy.

247Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:GILisit05

Abstract

Sparse approximation problems abound in many scientific, mathematical, and engineering applications. These problems are defined by two competing notions: we approximate a signal vector as a linear combination of elementary atoms and we require that the approximation be both as accurate and as concise as possible. We introduce two natural and direct applications of these problems and algorithmic solutions in communications. We do so by constructing enhanced codebooks from base codebooks. We show that we can decode these enhanced codebooks in the presence of Gaussian noise. For MIMO wireless communication channels, we construct simultaneous sparse approximation problems and demonstrate that our algorithms can both decode the transmitted signals and estimate the channel parameters.


Item Type:Book Section
Additional Information:© Copyright 2005 IEEE. Reprinted with permission. [Posted online: 2005-10-31] A.C.G. is supported by NSF DMS-0354600. The authors thank Robert Calderbank and Martin Strauss for helpful conversations.
Record Number:CaltechAUTHORS:GILisit05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GILisit05
Alternative URL:http://dx.doi.org/10.1109/ISIT.2005.1523488
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9042
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:22 Oct 2007
Last Modified:26 Dec 2012 09:44

Repository Staff Only: item control page