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Sparse Signal Recovery in the Presence of Intra-Vector and Inter-Vector Correlation

Authors
  • Rao, Bhaskar D.
  • Zhang, Zhilin
  • Jin, Yuzhe
Type
Preprint
Publication Date
May 20, 2012
Submission Date
May 20, 2012
Identifiers
arXiv ID: 1205.4471
Source
arXiv
License
Yellow
External links

Abstract

This work discusses the problem of sparse signal recovery when there is correlation among the values of non-zero entries. We examine intra-vector correlation in the context of the block sparse model and inter-vector correlation in the context of the multiple measurement vector model, as well as their combination. Algorithms based on the sparse Bayesian learning are presented and the benefits of incorporating correlation at the algorithm level are discussed. The impact of correlation on the limits of support recovery is also discussed highlighting the different impact intra-vector and inter-vector correlations have on such limits.

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