2013-04-14
Detecting Point-Like Sources of Unknown Frequency Spectra
By
Progress In Electromagnetics Research B, Vol. 50, 347-364, 2013
Abstract
The problem of detecting point-like sources whose frequency spectrum is unknown is addressed. Limitations of single-frequency approaches are identified by analytical as well as numerical arguments. To overcome these limits, different multifrequency approaches which combine frequency data incoherently are compared. In particular, a novel multifrequency MUSIC-like algorithm based on interferometric idea is proposed. Results show that the algorithm outperforms other methods under comparison.
Citation
Raffaele Solimene, Giuseppe Ruvio, Angela DellAversano, Antonio Cuccaro, Max Ammann, and Rocco Pierri, "Detecting Point-Like Sources of Unknown Frequency Spectra," Progress In Electromagnetics Research B, Vol. 50, 347-364, 2013.
doi:10.2528/PIERB13030414
References

1. Bertero, , M., "Linear inverse and ill-posed problems," Advances in Electronics and Electron Physics, Vol. 75, 1120-1989, 1989.
doi:10.1016/S0065-2539(08)60946-4        Google Scholar

2. Devaney, , A. J. and G. C. Sherman, "Nonuniqueness in inverse source and scattering problems," IEEE Trans. Antennas Propag., Vol. 30, 1034-1037, 1982.
doi:10.1109/TAP.1982.1142902        Google Scholar

3. Langenberg, , K. J., "Applied inverse problems for acoustic, electromagnetic and elastic wave scattering," Basic Methods of Tomography and Inverse Problems, P. C. Sabatier, 1987.        Google Scholar

4. Pierri, , R., A. Liseno, F. Soldovieri, and R. Solimene, "In-depth resolution for a strip source in the Fresnel zone," J. Opt. Soc. Am. A, Vol. 18, 352-359, 2001.
doi:10.1364/JOSAA.18.000352        Google Scholar

5. Marengo, E. A. and A. J. Devaney, "The inverse source problem of electromagnetics: Linear inversion formulation and minimum energy solution," IEEE Trans. Antennas Propag., Vol. 47, 4102, 1999.
doi:10.1109/8.761085        Google Scholar

6. Solimene, , R., A. Buonanno, and R. Pierri, "Imaging small PEC spheres by a linear approach," IEEE Trans. Geosc. Rem. Sen., Vol. 46, 3010-3018, 2008.
doi:10.1109/TGRS.2008.919273        Google Scholar

7. Yavuz, , M. E. and F. L. Teixeira, "Frequency dispersion compensation in time reversal techniques for UWB electromagnetic waves," IEEE Geosc. Rem. Sen. Lett., Vol. 2, 233-237, 2005.
doi:10.1109/LGRS.2005.846835        Google Scholar

8. Joh, , Y.-D., Y. M. Kwon, J. Y. Huh, and W.-K. Park, "Structure analysis of single- and 2 multi-frequency subspace migrations in 3 inverse scattering problems," Progress In Electromagnetics Research , Vol. 136, 607-622, 2013.        Google Scholar

9. Solimene, , R., A. Dell'Aversano, and G. Leone, "Interferometric time reversal MUSIC for small scatterer localization," Progress In Electromagnetics Research, Vol. 131, 243-258, 2012.        Google Scholar

10. Schmidt, , R. O., "Multiple emitter location and signal parameter estimation," IEEE Trans. Antennas Propag., Vol. 34, 276-280, 1986.
doi:10.1109/TAP.1986.1143830        Google Scholar

11. Odendaal, , J. W., E. Barnard, and C. W. I. Pistorious, "Two-dimensional super-resolution radar imaging using the MUSIC algorithm," IEEE Trans. Antennas Propag., Vol. 42, 1386-1391, 1994.
doi:10.1109/8.320744        Google Scholar

12. Gruber, , F. K., E. A. Marengo, and A. J. Devaney, "Time-reversal imaging with multiple signal classification considering multiple scattering between the targets," J. Acoust. Soc. Am., Vol. 115, 3042-3047, 2004.
doi:10.1121/1.1738451        Google Scholar

13. Giannopoulos, , A., , "GprMax2D/3D, Users Guide,", 2002.
doi:http://www.xmarks.com/site/www.gprmax.org/        Google Scholar

14. Yavuz, , M. E. and F. L. Teixeira, "On the sensitivity of time-reversal imaging techniques to model perturbations," IEEE Trans. Antennas Propag., Vol. 56, 834-843, 2008.
doi:10.1109/TAP.2008.916933        Google Scholar

15. Brancaccio, , A., G. Leone, and R. Pierri, "Information content of born scattered fields: Results in the circular cylindrical case," J. Opt. Soc. Am. A, Vol. 15, 1909-1917, 1998.
doi:10.1364/JOSAA.15.001909        Google Scholar