Decentralized compression and predistribution via randomized gossiping
Proceedings of the 5th international conference on Information processing in sensor networks
Field inversion by consensus and compressed sensing
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
IEEE Transactions on Signal Processing
Distributed sensor localization in random environments using minimal number of anchor nodes
IEEE Transactions on Signal Processing
Sensor Networks With Random Links: Topology Design for Distributed Consensus
IEEE Transactions on Signal Processing - Part II
Topology for Distributed Inference on Graphs
IEEE Transactions on Signal Processing
Stable recovery of sparse overcomplete representations in the presence of noise
IEEE Transactions on Information Theory
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The objective of the Field Inversion by Consensus and Compressed Sensing (FICCS) algorithm is to use local communications for the distributed estimation of a field, observed by a network of sensors. We use a variation of distributed average consensus algorithms to create tailored linear projections that lead to accurate l1-inversions of the sensed field. By spreading information throughout the network, we eliminate the need for a fusion center. To demonstrate the algorithm, we use the example of localizing multiple discrete acoustic sources with knowledge of the propagation medium. We show noiseless and noisy inversion performance in simulation as a function of the number of observation projections computed and discuss the scalability of the approach with network size.