volume | PIER Journals

Abstract

Two different approaches for compensating the probe positioning errors in a near-field-far-field transformation with cylindrical scanning using a nonredundant number of measurements are presented and experimentally validated in this paper. In order to evaluate the uniformly distributed samples from the irregularly spaced ones, the former makes use of the singular value decomposition method, whereas the latter employs an iterative technique. In both the cases, the near-field data needed by a standard nearfield-far-field transformation are efficiently evaluated via an optimal sampling interpolation algorithm.

1. Bucci, O. M., C. Gennarelli, and C. Savarese, "Representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples ," IEEE Trans. Antennas Propagat., Vol. 46, 351-359, March 1998.
doi:10.1109/8.662654 Google Scholar

2. Bucci, O. M. and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propagat., Vol. 35, 1445-1455, December 1987.
doi:10.1109/TAP.1987.1144024 Google Scholar

3. Bucci, O. M., G. D'Elia, and M. D. Migliore, "Advanced field interpolation from plane-polar samples: Experimental verification," IEEE Trans. Antennas Propagat., Vol. 46, 204-210, February 1998.
doi:10.1109/8.660964 Google Scholar

4. Beutler, F. J., "Error-free recovery of signals from irregularly spaced samples," SIAM Rev., Vol. 8, 328-335, July 1966.
doi:10.1137/1008065 Google Scholar

5. Landau, H. J., "Sampling, data transmission, and the Nyquist rate," Proc. IEEE, Vol. 55, 1701-1706, 1967.
doi:10.1109/PROC.1967.5962 Google Scholar

6. Yao, K. and J. B. Thomas, "On some stability and interpolatory properties of nonuniform sampling expansions," IEEE Trans. Circuit Theory, Vol. 14, 404-408, 1967.
doi:10.1109/TCT.1967.1082745 Google Scholar

7. Yen, J. L., "On nonuniform sampling of bandwidth-limited signals," IEEE Trans. Circuit Theory, Vol. 3, 251-257, 1956. Google Scholar

8. Landau, H. J., "Necessary density conditions for sampling and interpolation of certain entire functions ," Acta. Math, Vol. 117, 37-52, 1967.
doi:10.1007/BF02395039 Google Scholar

9. Bucci, O. M., C. Gennarelli, and C. Savarese, "Interpolation of electromagnetic radiated fields over a plane from nonuniform samples," IEEE Trans. Antennas Propagat., Vol. 41, 1501-1508, November 1993.
doi:10.1109/8.267349 Google Scholar

10. Ferrara, F., C. Gennarelli, G. Riccio, and C. Savarese, "Far field reconstruction from nonuniform plane-polar data: A SVD based approach," Electromagnetics, Vol. 23, 417-429, July 2003.
doi:10.1080/02726340390203171 Google Scholar

11. Ferrara, F., C. Gennarelli, G. Riccio, and C. Savarese, "NF-FF transformation with cylindrical scanning from nonuniformly distributed data ," Microw. Optical Tech. Lett., Vol. 39, 4-8, October 2003.
doi:10.1002/mop.11109 Google Scholar

12. Bucci, O. M., C. Gennarelli, G. Riccio, and C. Savarese, "Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces," IEE Proc. Microw. Antennas Propagat., Vol. 141, 77-84, April 1994.
doi:10.1049/ip-map:19949838 Google Scholar

13. Bucci, O. M., C. Gennarelli, G. Riccio, C. Savarese, and V. Speranza, "Non redundant representation of the electromagnetic fields over a cylinder with application to the near-field-far-field transformation," Electromagnetics, Vol. 16, 273-290, May 1996.
doi:10.1080/02726349608908477 Google Scholar

14. Jr. Leach, W. M. and D. T. Paris, "Probe compensated near-field measurements on a cylinder," IEEE Trans. Antennas Propagat., Vol. 21, 435-445, July 1973.
doi:10.1109/TAP.1973.1140520 Google Scholar

Prof. Francesco D'Agostino

Dr. Flaminio Ferrara

Professor Claudio Gennarelli

Professor Rocco Guerriero

Dr. Massimo Migliozzi