Table of Contents
ISRN Signal Processing
Volume 2013, Article ID 830723, 5 pages
http://dx.doi.org/10.1155/2013/830723
Research Article

Recovery of Missing Samples with Sparse Approximations

School of Engineering, Ruppin Academic Center, 40250 Emek Hefer, Israel

Received 16 July 2013; Accepted 12 September 2013

Academic Editors: S. K. Bhatia and W. Liu

Copyright © 2013 Benjamin G. Salomon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In most missing samples problems, the signals are assumed to be bandlimited. That is, the signals are assumed to be sparsely approximated by a known subset of the discrete Fourier transform basis vectors. We discuss the recovery of missing samples when the signals can be sparsely approximated by an unknown subset of certain unitary basis vectors. We propose the use of the orthogonal matching pursuit to recover missing samples by sparse approximations.