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Proceedings Paper

Dictionary reduction technique for 3D stepped-frequency GPR imaging using compressive sensing and the FFT
Author(s): Kyle Krueger; James H. McClellan; Waymond R. Scott
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Paper Abstract

Compressive sensing (CS) techniques have shown promise for subsurface imaging applications using wideband sensors such as stepped-frequency ground-penetrating radars (GPR). Excellent images can be computed using the CS techniques. However, the problem size is severely limited for 3-dimensional imaging problems which seem to require an explicit representation matrix that involves six dimensions. This paper shows how the underlying propagation model leads to a block-Toeplitz structure in two of the dimensions which can be exploited to reduce both the storage and computational complexity. The reduction by three orders of magnitude in computational resources for the CS problem will make 3-dimensional imaging applications feasible.

Paper Details

Date Published: 8 June 2012
PDF: 9 pages
Proc. SPIE 8365, Compressive Sensing, 83650Q (8 June 2012); doi: 10.1117/12.919582
Show Author Affiliations
Kyle Krueger, Georgia Institute of Technology (United States)
James H. McClellan, Georgia Institute of Technology (United States)
Waymond R. Scott, Georgia Institute of Technology (United States)

Published in SPIE Proceedings Vol. 8365:
Compressive Sensing
Fauzia Ahmad, Editor(s)

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