Title
Distributed field reconstruction with model-robust basis pursuit
Abstract
We study the use of distributed average consensus and compressed sensing to perform decentralized estimation of a field measured by networked sensors. We examine field reconstruction of multiple acoustic sources from isotropic magnitude measurements. Compressed projections of global network observations are spread throughout the network using consensus, after which all nodes may invert the source field using ℓ1 recovery methods. To approximate the problem as a discrete linear system, the space of source locations is quantized, introducing model error. We propose a model-robust adaptation to basis pursuit to control for the error arising from the spatial quantization. We show conditions for stability of the robust estimator, providing bounds on the reconstruction error based on perturbation constants, source magnitudes, and mutual coherence. Experiments show that the two types of robust estimators successfully address infeasibility and consistency issues that arise in basis pursuit for spatially quantized acoustic sources.
Year
DOI
Venue
2012
10.1109/ICASSP.2012.6288467
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
compressed sensing,estimation theory,quantisation (signal),signal reconstruction,stability,ℓ1 recovery methods,compressed sensing,decentralized field estimation,discrete linear system,distributed average consensus,distributed field reconstruction,global network observation compressed projections,isotropic magnitude measurements,model-robust adaptation,model-robust basis pursuit,multiple acoustic sources,mutual coherence,networked sensors,perturbation constants,reconstruction error,robust estimator stability,source field,source locations,source magnitudes,spatial quantization,spatially quantized acoustic sources,compressed sensing,consensus,distributed estimation,model robust estimation,noise-aware basis pursuit
Mathematical optimization,Computer science,Basis pursuit,Robustness (computer science),Robust statistics,Quantization (signal processing),Mutual coherence,Compressed sensing,Signal reconstruction,Estimator
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4673-0044-5
978-1-4673-0044-5
3
PageRank 
References 
Authors
0.39
10
2
Name
Order
Citations
PageRank
Aurora Schmidt130.39
José M. F. Moura25137426.14