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Published October 31, 2005 | public
Book Section - Chapter Open

Applications of sparse approximation in communications


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.

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.


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August 22, 2023
August 22, 2023