DUAL METHOD OF MINIMUM SPATIAL EXTENT FOR ROBUST ESTIMATION OF DIPOLE RADIATION SOURCES
additive noise and by spikes is investigated. A new approach based on a principle of minimal spatial extent is suggested. This approach
states that the solution extent as well as the extent of solution discrepancy should be minimal together. The model of radiation sources
described by the one-dimensional array of ideal Hertzian dipoles is used. The task geometry, when dipoles are located along a straight line,
which is parallel to the measurement line of electric field, and when electric moments of all dipoles are perpendicular to the measurement
plane, is considered. Algorithm of data processing based on conjugate gradient method is proposed. Numerical simulations with the error
boundaries are presented.
Full Text:PDF (Українська)
Yaghjian A. D. An Overview of Near-Field Antenna Measurements // IEEE Transactions on Antennas and Propagation. – 1986. – Vol. 34, Jan. – P. 30–44. 2. Cano F. Applications of sources reconstruction techniques: Theory and practical results / [F. Cano, M. Sierra-Castaner, S. Burgos, J. L. Besada] // Antennas and Propagation : 4th European Conference EuCAP-2010, Barcelona, 12–16 April 2010 : proceedings. – IEEE, 2010. – P. 1–5. 3. Martini E. Reduction of Truncation Errors in Planar Near-Field Aperture Antenna Measurements Using the Gerchberg- Papoulis Algorithm / E. Martini, O. Breinbjerg, S. Maci // IEEE Transactions on Antennas and Propagation. – 2008. – Vol. 56, Nov. – P. 3485–3493. 4. Vovk S. M. Using the method of minimum extension to extrapolation of antenna measurements / S. M. Vovk, V. F. Borulko // Mathematical Methods in Electromagnetic Theory : 10th International Conference MMET-2004, Dniepropetrovsk, 14–17 September 2004 : proceedings. – IEEE, 2004. – P. 159–161. DOI: 10.1109/MMET.2004.1396962 5. Vovk S. M. Restoration of point sources located along a perpendicular to a plane of measurements by the extension minimum method / S. M. Vovk, V. F. Borulko // Mathematical Methods in Electromagnetic Theory : 11th International Conference MMET-2006, Kharkiv, 26–29 June 2006 : proceedings. – IEEE, 2006. – P. 147–149. DOI: 10.1109/MMET.2006.1689728 6. Borulko V. F. Determining sources in the array of electric dipoles / V. F. Borulko, S. M. Vovk // Mathematical Methods in Electromagnetic Theory : International Conference MMET-2010, Kyiv, 6–8 September 2010 : proceedings. – IEEE, 2010. – P. 1–4. DOI: 10.1109/MMET.2010.5611347 7. Forsythe G. E. Computer Methods for Mathematical Computations / G. E. Forsythe, M. A. Malcolm, C. B. Moler. – New York, Prentice-Hall, 1977. – 259 p. 8. Co T. B. Methods of Applied Mathematics for Engineers and Scientists / T. B. Co. – New York, Cambridge University Press, 2013. – 582 p. 9. Tikhonov A. N. Solutions of ill-posed problems / A. N. Tikhonov, V. Y. Arsenin. – New York, Wiley, 1977. – 272 p. 10. Huber P. J. Robust statistics / P. J. Huber. – New York : John Wiley and Sons, 1981. – 312 p. 11. Neff H. P. Introductory Electromagnetics / H. P. Neff. – New York, Wiley, 1991. – 414 p. 12. Vovk S. M. A minimum-duration method for recovering finite signals / Vovk S. M., Borul’ko V. F. // Radioelectronics and Communications. – 1991. – No. 8, vol. 34. – P. 67–69. 13. Borulko V. Image Processing by Minimum Extent Method / V. Borulko, S. Vovk // Pattern Recognition and Information Analysis : International Conference PRIA-95, Minsk, 19–21 September 1995 : proceedings. – Szczecin : Wydawnictwo Uczelniane Politechniki Szczecinskiej, 1995. – P. 71–72. 14. Vovk S. M. Statement of a problem of definition of linear signals parameters in quasinormed space / S. M. Vovk, V. F. Borul’ko // Radioelectronics and Communications. – 2010. – Vol. 53, No. 7. – P. 367–375. 15. Vovk S. M. Myriad and meridian functionals as extreme forms of smoothed quasinorms / S. M. Vovk, V. F. Borulko // Mathematical Methods in Electromagnetic Theory : 14th International Conference MMET-2012, Kyiv, 28–30 August 2012 : proceedings. – IEEE, 2012. – P. 320-323. DOI: 10.1109/MMET.2012.6331268 16. Vovk S. Family of generalized Demidenko functionals for robust estimation / S. Vovk, V. Borulko // Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory :17th International Seminar/Workshop DIPED’12, Tbilisi, 24–27 September 2012 : proceedings. – IEEE, 2012. – P. 151–154. 17. Vovk S. Spectrum extrapolation by using combined root-Demidenko family of quasi-duration functionals / S. Vovk, V. Borulko // Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves : 8th International Kharkov Symposium MSMW’13, Kharkov, 23-28 June 2013 : proceedings. – IEEE, 2013. – P. 461–463. DOI: 10.1109/ MSMW.2013.6622088
GOST Style Citations
Copyright (c) 2015 S. M. Vovk, V. F. Borulko
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Address of the journal editorial office:
Editorial office of the journal «Radio Electronics, Computer Science, Control»,
National University "Zaporizhzhia Polytechnic",
Zhukovskogo street, 64, Zaporizhzhia, 69063, Ukraine.
Telephone: +38-061-769-82-96 – the Editing and Publishing Department.
The reference to the journal is obligatory in the cases of complete or partial use of its materials.