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International Journal of Antennas and Propagation
Volume 2010 (2010), Article ID 859396, 8 pages
http://dx.doi.org/10.1155/2010/859396
Research Article

Near-Field/Far-Field Transformation with Helicoidal Scanning from Irregularly Spaced Data

Dipartimento di Ingegneria dell'Informazione ed Ingegneria Elettrica, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy

Received 14 June 2010; Accepted 14 September 2010

Academic Editor: Krishnasamy Selvan

Copyright © 2010 Francesco D'Agostino et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. D. Yaghjian, “Overview of near-field antenna measurements,” IEEE Transactions on Antennas and Propagation, vol. 34, no. 1, pp. 30–45, 1986. View at Google Scholar · View at Scopus
  2. “Special Issue on near-field scanning techniques,” IEEE Transactions on Antennas and Propagation, vol. 36, no. 6, pp. 727–901, 1988.
  3. C. Gennarelli, G. Riccio, F. D'Agostino, and F. Ferrara, Near-Field—Far-Field Transformation Techniques, vol. 1, CUES, Salerno, Italy, 2004.
  4. O. M. Bucci, F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “NF-FF transformation with plane-polar scanning: ellipsoidal modelling of the antenna,” Automatika, vol. 41, no. 3-4, pp. 159–164, 2000. View at Google Scholar
  5. F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “Data reduction in the NF-FF transformation with bi-polar scanning,” Microwave and Optical Technology Letters, vol. 36, no. 1, pp. 32–36, 2003. View at Publisher · View at Google Scholar · View at Scopus
  6. O. M. Bucci, C. Gennarelli, G. Riccio, V. Speranza, and C. Savarese, “Nonredundant representation of the electromagnetic fields over a cylinder with application to the near-field—far-field transformation,” Electromagnetics, vol. 16, no. 3, pp. 273–290, 1996. View at Google Scholar · View at Scopus
  7. F. D'Agostino, F. Ferrara, C. Gennarelli, G. Riccio, and C. Savarese, “NF-FF transformation with cylindrical scanning from a minimum number of data,” Microwave and Optical Technology Letters, vol. 35, no. 4, pp. 264–268, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. O. M. Bucci, F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “Data reduction in the NF-FF transformation technique with spherical scanning,” Journal of Electromagnetic Waves and Applications, vol. 15, no. 6, pp. 755–775, 2001. View at Google Scholar · View at Scopus
  9. O. M. Bucci, C. Gennarelli, and C. Savarese, “Representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples,” IEEE Transactions on Antennas and Propagation, vol. 46, no. 3, pp. 351–359, 1998. View at Google Scholar · View at Scopus
  10. J. Bolomey, B. J. Cown, and B. J. Cown, “Rapid near-field antenna testing via arrays of modulated scattering probes,” IEEE Transactions on Antennas and Propagation, vol. 36, no. 6, pp. 804–814, 1988. View at Publisher · View at Google Scholar · View at Scopus
  11. R. G. Yaccarino, L. I. Williams, and Y. Rahmat-Samii, “Linear spiral sampling for the bipolar planar near-field antenna measurement technique,” IEEE Transactions on Antennas and Propagation, vol. 44, no. 7, pp. 1049–1051, 1996. View at Google Scholar · View at Scopus
  12. O. M. Bucci, C. Gennarelli, G. Riccio, and C. Savarese, “Nonredundant NF-FF transformation with helicoidal scanning,” Journal of Electromagnetic Waves and Applications, vol. 15, no. 11, pp. 1507–1519, 2001. View at Google Scholar · View at Scopus
  13. O. M. Bucci, F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “Probe compensated far-field reconstruction by near-field planar spiral scanning,” IEE Proceedings: Microwaves, Antennas and Propagation, vol. 149, no. 2, pp. 119–123, 2002. View at Publisher · View at Google Scholar · View at Scopus
  14. O. M. Bucci, F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “Near-field—far-field transformation with spherical spiral scanning,” IEEE Antennas and Wireless Propagation Letters, vol. 2, pp. 263–266, 2003. View at Publisher · View at Google Scholar · View at Scopus
  15. F. D'Agostino, C. Gennarelli, G. Riccio, and C. Savarese, “Theoretical foundations of near-field—far-field transformations with spiral scannings,” Progress in Electromagnetics Research, vol. 61, pp. 193–214, 2006. View at Google Scholar · View at Scopus
  16. F. D'Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “Near-field—far-field transformation technique with helicoidal scanning for elongated antennas,” Progress in Electromagnetics Research B, vol. 4, pp. 249–261, 2008. View at Google Scholar
  17. F. D'Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “An effective NF-FF transformation technique with planar spiral scanning tailored for quasi-planar antennas,” IEEE Transactions on Antennas and Propagation, vol. 56, no. 9, pp. 2981–2987, 2008. View at Publisher · View at Google Scholar · View at Scopus
  18. F. D'Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, M. Migliozzi, and G. Riccio, “A nonredundant near-field to far-field transformation with spherical spiral scanning for nonspherical antennas,” The Open Electrical & Electronic Engineering Journal, vol. 3, pp. 1–8, 2009. View at Google Scholar
  19. F. D'Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “The unified theory of near-field—far-field transformations with spiral scannings for nonspherical antennas,” Progress In Electromagnetics Research B, no. 14, pp. 449–477, 2009. View at Publisher · View at Google Scholar
  20. A. Dutt and V. Rohklin, “Fast Fourier transforms for nonequispaced data,” SIAM Journal Scientific Computation, vol. 14, no. 6, pp. 1369–1393, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  21. G. Beylkin, “On the fast Fourier transform of functions with singularities,” Applied and Computational Harmonic Analysis, vol. 2, no. 4, pp. 363–381, 1995. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. R. C. Wittmann, B. K. Alpert, and M. H. Francis, “Near-field antenna measurements using nonideal measurement locations,” IEEE Transactions on Antennas and Propagation, vol. 46, no. 5, pp. 716–722, 1998. View at Google Scholar · View at Scopus
  23. R. C. Wittmann, B. K. Alpert, and M. H. Francis, “Near-field, spherical-scanning antenna measurements with nonideal probe locations,” IEEE Transactions on Antennas and Propagation, vol. 52, no. 8, pp. 2184–2186, 2004. View at Publisher · View at Google Scholar · View at Scopus
  24. F. J. Beutler, “Error-free recovery of signals from irregularly spaced samples,” SIAM Review, vol. 8, no. 3, pp. 328–335, 1966. View at Google Scholar
  25. H. J. Landau, “Sampling, data transmission, and the Nyquist rate,” Proceedings of the IEEE, vol. 55, no. 10, pp. 1701–1706, 1967. View at Google Scholar
  26. K. Yao and J. B. Thomas, “On some stability and interpolatory properties of non-uniform sampling expansions,” IEEE Transactions on Circuit Theory, vol. 14, no. 4, pp. 404–408, 1967. View at Google Scholar
  27. J. L. Yen, “On nonuniform sampling of bandwidth-limited signals,” IRE Transactions on Circuit Theory, vol. 3, no. 4, pp. 251–257, 1956. View at Google Scholar
  28. H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Mathematica, vol. 117, no. 1, pp. 37–52, 1967. View at Publisher · View at Google Scholar · View at Scopus
  29. O. M. Bucci, C. Gennarelli, and C. Savarese, “Interpolation of electromagnetic radiated fields over a plane by nonuniform samples,” IEEE Transactions on Antennas and Propagation, vol. 41, no. 11, pp. 1501–1508, 1993. View at Publisher · View at Google Scholar · View at Scopus
  30. O. M. Bucci, C. Gennarelli, G. Riccio, and C. Savarese, “Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces,” IEE Proceedings: Microwaves, Antennas and Propagation, vol. 141, no. 2, pp. 77–84, 1994. View at Publisher · View at Google Scholar · View at Scopus
  31. F. Ferrara, C. Gennarelli, G. Riccio, and C. Savarese, “NF-FF transformation with cylindrical scanning from nonuniformly distributed data,” Microwave and Optical Technology Letters, vol. 39, no. 1, pp. 4–8, 2003. View at Publisher · View at Google Scholar · View at Scopus
  32. G. H. Golub and C. F. Van Loan, Matrix Computations, J. Hopkins University Press, Baltimore, Md, USA, 1996.
  33. O. M. Bucci, G. D'Elia, and M. D. Migliore, “Advanced field interpolation from plane-polar samples: experimental verification,” IEEE Transactions on Antennas and Propagation, vol. 46, no. 2, pp. 204–210, 1998. View at Google Scholar · View at Scopus
  34. W. M. Leach Jr. and D. T. Paris, “Probe compensated near-field measurements on a cylinder,” IEEE Transactions on Antennas and Propagation, vol. AP-21, no. 4, pp. 435–445, 1973. View at Google Scholar · View at Scopus
  35. S. Costanzo and G. Di Massa, “Far-field reconstruction from phaseless near-field data on a cylindrical helix,” Journal of Electromagnetic Waves and Applications, vol. 18, no. 8, pp. 1057–1071, 2004. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus