94
Views
0
CrossRef citations to date
0
Altmetric
ARTICLES

Compressive sampling-based scattering data acquisition in microwave imaging

ORCID Icon, , , & ORCID Icon
Pages 693-729 | Received 03 Aug 2022, Accepted 17 Feb 2023, Published online: 18 Mar 2023

References

  • Candes EJ, Tao T. Decoding by linear programming. IEEE Trans Inf Theory. 2005;51(12):4203–4215.
  • Baraniuk RG. Compressive sampling. IEEE Signal Process Mag. 2007;24(4):118–124.
  • Duarte MF, Eldar YC. Structured compressed sensing: from theory to applications. IEEE Trans Signal Process. 2011;59(9):4053–4085.
  • Oliveri G, Salucci M, Anselmi N, et al. Compressive sensing as applied to inverse problems for imaging: theory, applications, current trends, and open challenges. IEEE Antennas Propag Mag. 2017;59(5):34–46.
  • Trzasko J, Manduca A. Highly undersampled magnetic resonance image reconstruction via homotopic ℓ0-minimization. IEEE Trans Med Imaging. 2009;28(1):106–121.
  • Tello Alonso M, Lopez-Dekker P, Mallorqui JJ. A novel strategy for radar imaging based on compressive sensing. IEEE Trans Geosci Remote Sens. 2010;48(12):4285–4295.
  • Ambrosanio M, Pascazio V. A compressive-sensing-based approach for the detection and characterization of buried objects. IEEE J Sel Top Appl Earth Observ. 2015;8(7):3386–3395.
  • Migliore MD. A compressed sensing approach for array diagnosis from a small set of near-field measurements. IEEE Trans Antennas Propag. 2011;59(6):2127–2133.
  • Salucci M, Migliore MD, Oliveri G, et al. Antenna measurements-by-design for antenna qualification. IEEE Trans Antennas Propag. 2018;66(11):6300–6312.
  • Salucci M, Gelmini A, Oliveri G, et al. Planar arrays diagnosis by means of an advanced Bayesian compressive processing. IEEE Trans Antennas Propag. 2018;66(11):5892–5906.
  • Salucci M, Gelmini A, Poli L, et al. Progressive compressive sensing for exploiting frequency-diversity in GPR imaging. J Electromagn Waves Appl. 2018;32(9):1164–1193.
  • Candes EJ, Wakin MB. An introduction to compressive sampling. IEEE Signal Process Mag. 2008;25(2):21–30.
  • Massa A, Rocca P, Oliveri G. Compressive sensing in electromagnetics – a review. IEEE Antennas Propag Mag. 2018;57(1):224–238.
  • Tropp J, Wright S. Computational methods for sparse solution of linear inverse problems. Proc IEEE. 2010;98(6):948–958.
  • Tillmann AM, Pfetsch ME. The computational complexity of the restricted isometry property, the nullspace property, and related concepts in compressed sensing. IEEE Trans Inf Theory. 2014;60(2):1248–1259.
  • Weed J. Approximately certifying the restricted isometry property is hard. IEEE Trans Inf Theory. 2018;64(8):5488–5497.
  • Davenport MA, Boufounos PT, Wakin MB, et al. Signal processing with compressive measurements. IEEE J Sel Top Signal Process. 2010;4(2):445–460.
  • Cai TT, Zhang A. Sparse representation of a polytope and recovery of sparse signals and low-rank matrices. IEEE Trans Inf Theory. 2014;60(1):122–132.
  • Bandeira AS, Fickus M, Mixon DG, et al. The road to deterministic matrices with the restricted isometry property. J Fourier Anal Appl. 2013;19(6):1123–1149.
  • Baraniuk R, Davenport M, DeVore R, et al. A simple proof of the restricted isometry property for random matrices. Constr Approx. 2008;28(3):253–263.
  • Cai TT, Xu G, Zhang J. On recovery of sparse signals via ℓ1 minimization. IEEE Trans Inf Theory. 2009;55(7):3388–3397.
  • Bucci OM, Franceschetti G. On the degrees of freedom of scattered fields. IEEE Trans Antennas Propag. 1989;37(7):918–926.
  • Bucci OM, Isernia T. Electromagnetic inverse scattering: retrievable information and measurement strategies. Radio Sci. 1997;32:2123–2137.
  • Oliveri G, Rocca P, Massa A. A Bayesian compressive sampling-based inversion for imaging sparse scatterers. IEEE Trans Geosci Remote Sens. 2011;49(10):3993–4006.
  • Poli L, Oliveri G, Viani F, et al. MT-BCS-based microwave imaging approach through minimum-norm current expansion. IEEE Trans Antennas Propag. 2013;61(9):4722–4732.
  • Anselmi N, Oliveri G, Salucci M, et al. Wavelet-based compressive imaging of sparse targets. IEEE Trans Antennas Propag. 2015;63(11):4889–4900.
  • Anselmi N, Oliveri G, Hannan MA, et al. Color compressive sensing imaging of arbitrary-shaped scatterers. IEEE Trans Microw Theory Techn. 2017;65(6):1986–1999.
  • Candes EJ. The restricted isometry property and its implications for compressed sensing. C R Math. 2008;346(9-10):589–592.
  • Candes EJ, Romberg J. ℓ1-MAGIC: Recovery of sparse signals via convex programming [Online] 2005; Available at: https://statweb.stanford.edu/∼candes/software/l1magic/.
  • Gally T, Pfetsch ME. Computing restricted isometry constants via mixed-integer semidefinite programming, [Online]. 2016; Available at: http://www.optimization-online.org/DB_HTML/2016/04/5395.html.
  • Jin N, Rahmat-Samii Y. Advances in particle swarm optimization for antenna designs: real-number, binary, single-objective and multiobjective implementations. IEEE Trans Antennas Propag. 2007;55(3):556–567.
  • Rocca P, Benedetti M, Donelli M, et al. Evolutionary optimization as applied to inverse scattering problems. Inverse Probl. 2009;25(12):1–41.
  • Richmond JH. Scattering by a dielectric cylinder of arbitrary cross shape. IEEE Trans Antennas Propag. 1965;13(3):334–341.
  • Chen X. Computational methods for electromagnetic inverse scattering. Singapore: Wiley; 2018.
  • Salucci M, Oliveri G, Randazzo A, et al. Electromagnetic subsurface prospecting by a multi-focusing inexact Newton method within the second-order born approximation. J Opt Soc Am A. 2014;31(6):1167–1179.
  • Oliveri G, Poli L, Anselmi N, et al. Compressive-sensing based born iterative method for tomographic imaging. IEEE Trans Microw Theory Tech. 2019;67(5):1753–1765.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.