One-step-ahead kinematic compressive sensing
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Hover_One-step-ahead.pdf
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Author(s) • • •
Hover, Franz S.
Hummel, Robert
Mitra, Urbashi
Sukhatme, G.
Date Issued
April 24, 2013
Journal
Proceedings of the 2011 IEEE GLOBECOM Workshops (GC Wkshps)
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Hover, Franz S. et al. “One-step-ahead Kinematic Compressive Sensing.” Proceedings of the 2011 IEEE GLOBECOM Workshops (GC Wkshps), 2011. 1314–1319.
Version
Author's final manuscript
Abstract
A large portion of work on compressive sampling and sensing has focused on reconstructions from a given measurement set. When the individual samples are expensive and optional, as is the case with autonomous agents operating in a physical domain and under specific energy limits, the CS problem takes on a new aspect because the projection is column-sparse, and the number of samples is not necessarily large. As a result, random sampling may no longer be the best tactic. The underlying incoherence properties in l0 reconstruction, however, can still motivate the purposeful design of samples in planning for CS with one or more agents; we develop here a greedy and computationally tractable sampling rule that will improve errors relative to random points. Several example cases illustrate that the approach is effective and robust.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1109/GLOCOMW.2011.6162400