Sparse Representation of Targets with Mixed Scattering Primitives

Authors

  • John Lee Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA
  • Peter J. Collins Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA
  • Julie Ann Jackson Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA

Keywords:

Geometric Theory of Diffraction (GTD), l1-norm minimization, Radar Cross Section (RCS), scattering primitives, sparse representation, Uniform Theory of Diffraction (UTD)

Abstract

A combination of two scattering primitives – wedge diffraction primitives and isotropic point scatterers – is used to reconstruct far-field monostatic scattering patterns of several target geometries and addresses shortcomings of traditional approaches that only use a single type of primitive (e.g., approximations in analytic solutions, slow convergence). An l1-norm minimization technique is applied to determine a set of weights for the point scatterers. We show that combining these two types of primitives yields better reconstruction performance than when each primitive type is used individually.

Downloads

Download data is not yet available.

Author Biographies

John Lee, Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA

John Lee Received his B.S. in Electrical and Computer Systems Engineering from Rensselaer Polytechnic Institute in 2005 and his M.S. in Electrophysics from New York University Tandon School of Engineering in 2012. He is currently pursuing his Ph.D. in Electrical Engineering at the Air Force Institute of Technology. He has previously worked for The Boeing Company in Southern California and is currently a Member of the Research Staff at Riverside Research in New York, NY. His current research interests are focused on electromagnetic applications of compressive sensing, RCS modeling, analysis and optimization.

Peter J. Collins, Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA

Peter J. Collins is a Professor of Electrical Engineering with the Air Force Institute of Technology, Department of Electrical and Computer Engineering, WrightPatterson AFB, OH. Collins’ research interests are in the areas of low observables, electromagnetic materials design, and remote sensing along with the underlying foundational disciplines of electromagnetic theory, computational electromagnetics, and signature metrology. Collins is a Fellow of the Antenna Measurement Techniques Association (AMTA), Senior Member of the Institute of Electrical and Electronic Engineers (IEEE), and is author or co-author of over 90 technical papers, 2 book chapters, and 1 US Patent.

Julie Ann Jackson, Department of Electrical and Computer Engineering Air Force Institute of Technology, Dayton, OH 45433 USA

Julie Ann Jackson is an Associate Professor of Electrical Engineering at the Air Force Institute of Technology (AFIT), where she joined the faculty in 2009. She earned the B.S.E.E. degree from Wright State University, Dayton, OH, in 2002 and the M.S. and Ph.D. degrees from The Ohio State University, Columbus, OH, in 2004 and 2009, respectively. Her graduate studies were funded with fellowships from the National Science Foundation, the Dayton Area Graduate Studies Institute, The Ohio State University, and the Ohio Board of Regents. Jackson has held internships at the Air Force Research Laboratory, Alphatech, Inc., Jacobs Sverdrup, and Bell Laboratories. She is a Senior Member of the IEEE, member of Eta Kappa Nu and Tau Beta Pi, and Chief Advisor for the Ohio Eta Chapter of Tau Beta Pi. Jackson was elected in 2018 to the IEEE AES Society Radar Systems Panel and serves on the technical program committees of the IEEE Radar Conference and the MSS Tri-Service Radar Conference. Jackson's contributions have been recognized with mulitple awards including the 2019 IEEE Fred Nathanson Memorial Radar Award, the Air University Civilian Quarterly Award in 2018, the Southwestern Ohio Council for Higher Education (SOCHE) 2016 Faculty Excellence Award, and the 2012 Air Force Science, Technology, Engineering, and Mathematics Award for Outstanding Scientist/Engineer, Junior Civilian. Her research interests are in radar signal processing and imaging and exploitation of RF signals.

References

M. A. Richards, J. A. Scheer and W. A. Holm, Principles of Modern Radar: Basic Principles. SciTech Publishing, Edison, NJ, 2010.

J. A. Jackson, “Parametric models for signature prediction and feature extraction,” invited paper, Applied Computational Electromagnetics Society (ACES) Journal, vol. 34, no. 2, pp. 258-260, 2019.

J. Halman and R. J. Burkholder, “Sparse expansions using physical and polynomial basis functions for compressed sensing of frequency domain EM scattering,” IEEE Antennas Wirel. Propag. Lett., vol. 14, pp. 1048-1051, 2015.

B. Fischer, I. Lahaie, M. Hawks, and T. Conn, “On the use of basis pursuit and a forward operator dictionary to separate specific background types from target RCS data,” AMTA 36th Annual Meeting and Symposium, pp. 85-90, 2014.

S. Foucart and H. Rauhut, A Mathematical Introduction to Compressive Sensing. Springer, New York, 2013.

E. J. Candes, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal frequency information,” IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, 2006.

R. Bhalla, H. Ling, J. Moore, D. J. Andersh, S. W. Lee and J. Hughes, “3D scattering center representation of complex targets using the shooting and bouncing ray technique: a review,” IEEE Antennas and Propagation Magazine, vol. 40, no. 5, pp. 30-39, Oct. 1998.

D. A. McNamara, C. W. I. Pistorius, and J. A. G. Malherbe, Introduction to The Uniform Geometrical Theory of Diffraction. Artech House, Boston, MA, 1990.

E. van den Berg and M. P. Friedlander, “Probing the Pareto frontier for basis pursuit solutions,” SIAM J. on Scientific Computing, vol. 31, no.2, pp. 890-912, November 2008.

I. J. Lahaie, S. M. Cossmann, M. A. Blischke, V. Way, and A. Arbor, “A model-based technique with l1 minimization for defect detection and RCS interpolation from limited data,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 28, no. 12, pp. 1171-1179, 2013.

J. Tuszynski, “Triangle/ray intersection,” Mathworks File Exchange. https://www.mathworks.com/matlab central/fileexchange/33073-triangle-ray-intersection

T. Griesser and C. A. Balanis, “Dihedral corner reflector backscatter using higher order reflections and diffractions,” IEEE Trans. Antennas Propag., vol. 35, no. 11, pp. 1235-1247, 1987.

Y. C. Eldar and G. Kutyniok, Compressed Sensing: Theory and Applications. Cambridge University Press, NY, 2012.

J. A. Jackson, “Analytic physical optics solution for bistatic, 3D scattering from a dihedral corner reflector,” IEEE Trans. Antennas Propag., vol. 60, no. 3, pp. 1486-1495, Mar. 2012.

Downloads

Published

2020-06-01

How to Cite

[1]
John Lee, Peter J. Collins, and Julie Ann Jackson, “Sparse Representation of Targets with Mixed Scattering Primitives”, ACES Journal, vol. 35, no. 6, pp. 630–638, Jun. 2020.

Issue

Section

General Submission