Distributed sparse signal estimation in sensor networks using H∞-consensus filtering

@article{Yu2014DistributedSS,
  title={Distributed sparse signal estimation in sensor networks using H∞-consensus filtering},
  author={Haiyang Yu and Yisha Liu and Wei David Wang},
  journal={IEEE/CAA Journal of Automatica Sinica},
  year={2014},
  volume={1},
  pages={149-154}
}
This paper is concerned with the sparse signal recovery problem in sensor networks, and the main purpose is to design a filter for each sensor node to estimate a sparse signal sequence using the measurements distributed over the whole network. A so-called ℓ1-regularized H∞ filter is established at first by introducing a pseudo-measurement equation, and the necessary and sufficient condition for existence of this filter is derived by means of Krein space Kalman filtering. By embedding a high… CONTINUE READING

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