Space-time MUSIC imaging of EMI sensing data and a subspace partition study

References

• Geng N, Baum KE, Carin L. On the low frequency natural responses of conducting and permeable target. IEEE Trans Geosci Remote Sens. 1999;37:347–359.
   Web of Science ®Google Scholar
• Riggs LS, Mooney JE, Lawrence DE. Identification of metallic mine-like objects using low frequency magnetic fields. IEEE Trans Geosci Remote Sens. 2001;39:56–66.
   Web of Science ®Google Scholar
• Carin L, Yu H, Dalichaouch Y, et al. On the wideband EMI response of a rotationally symmetric permeable and conducting target. IEEE Trans Geosci Remote Sens. 2001;39:1206–1213.
   Web of Science ®Google Scholar
• Wei Jr M-H, Scott WR, McClellan JH. Robust estimation of the discrete spectrum of relaxations for electromagnetic induction responses. IEEE Trans Geosci Remote Sens. 2010;48:1169–1179.
   Web of Science ®Google Scholar
• Gasperikova E, Smith JT, Morrison HF, et al. UXO detection and identification based on intrinsic target polarizabilities. Geophysics. 2009;74:B1–B9.
   Web of Science ®Google Scholar
• Billings SD, Pasion LR, Beran L, et al. Unexploded ordnance discrimination using magnetic and electromagnetic sensors: case study from a former military site. Geophysics. 2010;75:B103–B114.
   Web of Science ®Google Scholar
• Beran L, Zelt B, Pasion LR, et al. Practical strategies for classification of unexploded ordnance. Geophysics. 2013;78:E41–E46.
   Web of Science ®Google Scholar
• Pasion LR, Oldenburg DW. A discrimination algorithm for UXO using time domain electromagnetics. J Eng Environ Geophys. 2001;28:91–102.
   Google Scholar
• Bell TH, Barrow BJ, Miller JT. Subsurface discrimination using electromagnetic induction sensors. IEEE Trans Geosci Remote Sens. 2001;39:1286–1293.
   Web of Science ®Google Scholar
• Smith JT, Morrison HF. Estimating equivalent dipole polarizabilities for the inductive response of isolated conductive bodies. IEEE Trans Geosci. Remote Sens. 2004;42:1208–1214.
   Web of Science ®Google Scholar
• Pasion LR. Inversion of time domain electromagnetic data for the detection of unexploded ordnance [ Ph.D dissertation]. The University of British Columbia; 2007.
   Google Scholar
• Grzegorczyk TM, Barrowes BE, Shubitidze F, et al. Simultaneous identification of multiple unexploded ordnance using electromagnetic induction sensors. IEEE Trans Geosci Remote Sens. 2011;49:2507–2517.
   Web of Science ®Google Scholar
• Song L-P, Pasion LR, Billings SD, et al. Non-linear inversion for multiple objects in transient electromagnetic induction sensing of unexploded ordnance: technique and applications. IEEE Trans Geosci Remote Sens. 2011;49:4007–4020.
   Web of Science ®Google Scholar
• Song L-P, Oldenburg DW, Pasion LR, et al. Adaptive focusing for source localization in EMI sensing of metallic objects: a preliminary assessment. J Environ Eng Geophys. 2008;13:131–145.
   Web of Science ®Google Scholar
• Van Veen BD, Buckley KM. Beamforming: a versatile approach to spatial filtering. IEEE Signal Process Mag. 1988;5:4–24.
   Google Scholar
• Song L-P, Pasion LR, Oldenburg DW. Estimating source locations of unexploded ordnance using the multiple signal classification algorithm. Geophysics. 2012;77(4):WB127–WB135.
   Web of Science ®Google Scholar
• Ammari H, Iakovleva E, Lesselier D. A MUSIC algorithm for locating small inclusions buried in a half-space from the scattering amplitude at a fixed frequency. Multiscale Model Simul. 2005;3:597–628.
   Web of Science ®Google Scholar
• Ammari H, Iakovleva E, Lesselier D, et al. MUSIC-type electromagnetic imaging of a collection of small three-dimensional inclusions. SIAM J Sci Comput. 2007;29:674–709.
   Web of Science ®Google Scholar
• Schmidt RO. Multiple emitter location and signal parameter estimation. IEEE Trans Antennas Propag. 1986;34:276–280.
   Web of Science ®Google Scholar
• Ammari H, Garnier J, Jugnon V. Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging. Discrete Contin Dyn Syst Ser S. 2015;8:389–417.
   Web of Science ®Google Scholar
• Ammari H, Chen J, Chen Z, et al. Target detection and characterization from electromagnetic induction data. J Math Pures Appl. 2014;9:54–75.
   Web of Science ®Google Scholar
• Ma YK, Park WK. Analysis of MUSIC-type imaging functionals for small two-dimensional electromagnetic inhomogeneities. J Electromag Waves Appl. 2015;29(11):1430–1439. DOI:10.1080/09205071.2015.1047468.
   Web of Science ®Google Scholar
• Ammari H, Garnier J, Jing W, et al. Mathematical and statistical methods for multistatic imaging. Cham: Springer; 2013. (Lecture notes in mathematics; vol. 2098).
   Google Scholar
• Steinhurst DA, Harbaugh GR, Kingdon JB, Furuya T, Keiswetter DA, George DC. EMI array for cued UXO discrimination, ESTCP report, MM-0601; 2010.
   Google Scholar
• Snyder DD, Prouty M, Jose S, et al. Discrimination at camp san luis obispo with the metalmapper. In: SAGEEP Keystone; 2010. p. 1–16.
   Google Scholar
• Foutz J, Spanias A, Banavar MK. Narrowband direction of arrival estimation for antenna arrays. Morgan and Claypool; 2008.
   Google Scholar
• Manzano MF, Valenzuela-Valdes JF, Castro IT, et al. Looking in complex angles for improving the accuracy of antenna array DoA estimation. J Electromag Waves Appl. 2013;27(3):345–354. DOI:10.1080/09205071.2013.745805.
   Web of Science ®Google Scholar
• Wax M, Kailath T. Detection of signals by information theoretic criteria. IEEE Trans ASSP. 1985;33:387–392.
   Google Scholar
• Ammari H, Garnier J, Kang H, et al. Imaging schemes for perfectly conducting cracks. SIAM J Appl Math. 2011;71:68–91.
   Web of Science ®Google Scholar
• Grant FS, West GF. Interpretation theory in applied geophysics. Section 6.5. McGraw-Hill Inc; 1965.
   Google Scholar
• Jackson JD. Classical electrodynamics. 2nd ed. New York (NY): Wiley; 1975. pp. 180–182
   Google Scholar
• Das Y, McFee JE, Toews J, et al. Analysis of an electromagnetic induction detector for real-time localization of buried objects. IEEE Trans Geosci Remote Sens. 1990;28:278–287.
   Web of Science ®Google Scholar
• Golub GH, Van Loan CF. Matrix computations. 2nd ed. Johns Hopkins Press; 1989. p. 139–147.
   Google Scholar
• Horn RA, Johnson CR. Matrix analysis. Cambridge University Press; 1985. p. 402–404.
   Google Scholar
• Cardoso J-F, Souloumiac A. Jacobi angles for simultaneous diagonalization. SIAM J Mater Anal Appl. 1996;17:161–164.
   Web of Science ®Google Scholar