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# Perturbations of measurement matrices and dictionaries in compressed sensing

@inproceedings{Aldroubi2012PerturbationsOM, title={Perturbations of measurement matrices and dictionaries in compressed sensing}, author={Akram Aldroubi and Xuemei Chen and Alexander M. Powell}, year={2012} }

- Published 2012
DOI:10.1016/j.acha.2011.12.002

The compressed sensing problem for redundant dictionaries aims to use a small number of linear measurements to represent signals that are sparse with respect to a general dictionary. Under an appropriate restricted isometry property for a dictionary, reconstruction methods based on ` minimization are known to provide an effective signal recovery tool in this setting. This note explores conditions under which ` minimization is robust to measurement noise, and stable with respect to perturbationsâ€¦Â CONTINUE READING