Recovery of localised structure from signals with non-sparse components

Authors

  • R. Broughton
  • I. Coope
  • P. Renaud
  • Rachael Tappenden

DOI:

https://doi.org/10.21914/anziamj.v52i0.3911

Abstract

We consider the recovery of localised structure from signals consisting of a piecewise constant structure and sparse components. A new algorithm is presented which aims to reconstruct signals of this type from a limited set of observed data. The algorithm is broken down into two subproblems which both involve minimisation of an $l_1$-regularised least squares problem. Numerical results are presented which demonstrate the effectiveness and efficiency of the proposed method. References
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Published

2011-08-03

Issue

Section

Proceedings Computational Techniques and Applications Conference