An Effective Iterative Algorithm to Correct the Probe Positioning Errors in a Non-Redundant Plane-Rectangular Near-Field to Far-Field Transformation

Authors

  • F. D’Agostino Department of Industrial Engineering University of Salerno, via Giovanni Paolo II, 132-84084, Fisciano, Italy
  • F. Ferrara Department of Industrial Engineering University of Salerno, via Giovanni Paolo II, 132-84084, Fisciano, Italy
  • C. Gennarelli Department of Industrial Engineering University of Salerno, via Giovanni Paolo II, 132-84084, Fisciano, Italy
  • R. Guerriero Department of Industrial Engineering University of Salerno, via Giovanni Paolo II, 132-84084, Fisciano, Italy
  • M. Migliozzi Department of Industrial Engineering University of Salerno, via Giovanni Paolo II, 132-84084, Fisciano, Italy

Keywords:

Antenna measurements, non-conventional plane-rectangular scanning, non-redundant sampling representations, plane-rectangular near-field to far-field transformation, positioning errors compensation

Abstract

An algorithm for the effective compensation of known positioning errors, affecting the samples acquired by the probe in a non-redundant plane-rectangular (PR) near-field to far-field (NFFF) transformation, is presented and fully assessed by experimental tests. This transformation adopts a non-conventional PR scan, named planar wide-mesh scan (PWMS), characterized by meshes widening more and more as their distance from the measurement plane center increases, and uses a nonredundant sampling representation of the probe voltage. Such a representation is obtained by considering the antenna as contained in an oblate spheroid, to precisely determine the input NF data for the traditional PR NFFF transformation from the PWMS samples. These samples are unavailable in presence of positioning errors, but, as it will be shown, can be effectively retrieved from the errors affected ones by applying an iterative procedure.

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References

A. D. Yaghjian, “An overview of near-field antenna measurements,” IEEE Trans. Antennas Prop., vol. AP-34, pp. 30-45, Jan. 1986.

E. S. Gillespie, “Special issue on near-field scanning techniques,” IEEE Trans. Antennas Prop., vol. 36, pp. 727-901, June 1988.

M. H. Francis and R. W. Wittmann, Near-Field Scanning Measurements: Theory and Practice, in Modern Antenna Handbook, C.A. Balanis, Ed., John Wiley & Sons, Hoboken, NJ, USA, pp. 929- 976, 2008.

M. H. Francis, IEEE Recommended Practice for Near-Field Antenna Measurements, IEEE Standard 1720-2012, 2012.

F. Ferrara, C. Gennarelli, and R. Guerriero, NearField Antenna Measurement Techniques, in Handbook of Antenna Technologies, Z. N. Chen, D. Liu, H. Nakano, X. Qing, and T. Zwick, Eds., Springer, Singapore, pp. 2107-2163, 2016.

D. T. Paris, W. M. Leach Jr., and E. B. Joy, “Basic theory of probe-compensated near-field measurements,” IEEE Trans. Antennas Prop., vol. AP-26, pp. 373-379, May 1978.

E. B. Joy, W. M. Leach, Jr., G. P. RodrigueZ, and D. T. Paris, “Application of probe-compensated nearfield measurements,” IEEE Trans. Antennas Prop., vol. AP-26, pp. 379-389, May 1978.

A. Lalbakhsh, M. U. Afzal, and K. P. Esselle, “Multiobjective particle swarm optimization to design a time-delay equalizer metasurface for an electromagnetic band-gap resonator antenna,” IEEE Antennas Wireless Prop. Lett., vol. 16, pp. 912-915, 2017.

A. Lalbakhsh, M. U. Afzal, K. P. Esselle, and S. L. Smith, “Wideband near-field correction of a FabryPerot resonator antenna,” IEEE Trans. Antennas Prop., vol. 67, pp. 1975-1980, Mar. 2019.

F. Ferrara, C. Gennarelli, R. Guerriero, G. Riccio, and C. Savarese, “An efficient near-field to far-field transformation using the planar wide-mesh scanning,” Jour. Electromagn. Waves Appl., vol. 21, no. 3, pp. 341-357, 2007.

F. D’Agostino, I. De Colibus, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “Farfield pattern reconstruction from near-field data collected via a nonconventional plane-rectangular scanning: Experimental testing,” Int. Jour. Antennas Prop., vol. 2014, ID 763687, 9 pages, 2014.

O. M. Bucci, C. Gennarelli, and C. Savarese, “Representation of electromagnetic fields over arbitrary surfaces by a finite and nonredundant number of samples,” IEEE Trans. Antennas Prop., vol. 46, pp. 351-359, Mar. 1998.

O. M. Bucci and C. Gennarelli, “Application of nonredundant sampling representations of electromagnetic fields to NF-FF transformation techniques,” Int. Jour. Antennas Prop., vol. 2012, ID 319856, 14 pages, 2012.

A. Dutt and V. Rohklin, “Fast Fourier transforms for nonequispaced data,” Proc. SIAM Jour. Scie. Comput., vol. 14, pp. 1369-1393, Nov. 1993.

R. C. Wittmann, B .K. Alpert, and M. H. Francis, “Near-field antenna measurements using nonideal measurement locations,” IEEE Trans. Antennas Prop., vol. 46, pp. 716-722, May 1998.

R. C. Wittmann, B. K. Alpert, and M. H. Francis, “Near-field, spherical-scanning antenna measurements with nonideal probe locations,” IEEE Trans. Antennas Prop., vol. 52, pp. 2184-2186, Aug. 2004.

J. L. Yen, “On nonuniform sampling of bandwidthlimited signals,” IRE Trans. Circuit Theory, vol. CT-3, pp. 251-257, Dec. 1956.

V. Dehghanian, M. Okhovvat, and M. Hakkak, “A new interpolation technique for the reconstruction of uniformly spaced samples from non-uniformly spaced ones in plane-rectangular near-field antenna measurements,” Prog. Electromagn. Res., vol. 72, pp. 47-59, 2007.

O. M. Bucci, C. Gennarelli, and C. Savarese, “Interpolation of electromagnetic radiated fields over a plane from nonuniform samples,” IEEE Trans. Antennas Prop., vol. 41, pp. 1501-1508, Nov. 1993.

O. M. Bucci, C. Gennarelli, G. Riccio, and C. Savarese, “Electromagnetic fields interpolation from nonuniform samples over spherical and cylindrical surfaces,” IEEE Proc. Microw. Antennas Prop., vol. 141, pp. 77-84, Apr. 1994.

F. Ferrara, C. Gennarelli, G. Riccio, and C. Savarese, “NF-FF transformation with cylindrical scanning from nonuniformly distributed data,” Microw. Optic. Technol. Lett., vol. 39, pp. 4-8, Oct. 2003.

F. Ferrara, C. Gennarelli, G. Riccio, and C. Savarese, “Far field reconstruction from nonuniform plane-polar data: A SVD based approach,” Electromagnetics, vol. 23, pp. 417-429, 2003.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “On the correction of the probe positioning errors in a non-redundant bipolar near to far-field transformation,” Appl. Comp. Electromagn. Soc. Jour., vol. 33, pp. 1374-1382, Dec. 2018.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “Probe position errors corrected near-field-far-field transformation with spherical scanning,” Appl. Comp. Electromagn. Soc. Jour., vol. 31, pp. 106-117, Feb. 2016.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “On the compensation of probe positioning errors when using a nonredundant cylindrical NF-FF transformation,” Prog. Electromagn. Res. B, vol. 20, pp. 321-335, 2010.

F. D’Agostino, F. Ferrara, C. Gennarelli, R.Guerriero, and M. Migliozzi, “Two efficient procedures to correct the positioning errors in the plane-polar scanning,” IET Microw., Antennas Prop., vol. 10, no. 13, pp. 1453-1458, 2016.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “Near to far-field plane-polar transformation from probe positioning error affected data,” Appl. Comp. Electromagn. Soc. Jour., vol. 33, pp. 419-429, Apr. 2018.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, M. Migliozzi, and G. Riccio, “A singular value decomposition based approach for far-field reconstruction from irregularly spaced planar widemesh scanning data,” Microw. Optic. Technol. Lett., vol. 49, pp. 1768-1772, July 2007.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “An SVD-based approach to reconstruct the planar wide-mesh scanning NF data from inaccurately probepositioned samples,” IEEE Antennas Wireless Prop. Lett., vol. 17, pp. 641-644, Apr. 2018.

O. M. Bucci, G. D’Elia, and M. D. Migliore, “Advanced field interpolation from plane-polar samples: Experimental verification,” IEEE Trans. Antennas Prop., vol. 46, pp. 204-210, Feb. 1998.

A. D. Yaghjian, “Approximate formulas for the far field and gain of open-ended rectangular waveguide,” IEEE Trans. Antennas Prop., vol. AP-32, pp. 378-384, Apr. 1984.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, S. McBride, and M. Migliozzi, “Fast and accurate antenna pattern evaluation from near-field data acquired via planar spiral scanning,” IEEE Trans. Antennas Prop., vol. 64, pp. 3450-3458, Aug. 2016.

F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “An iterative technique to retrieve the planar wide-mesh scanning near-field data from those affected by an inaccurate positioning,” Proc. of MIKON, Poznan, Poland, pp. 145-148, May 2018.

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Published

2019-11-01

How to Cite

[1]
F. D’Agostino, F. Ferrara, C. Gennarelli, R. Guerriero, and M. Migliozzi, “An Effective Iterative Algorithm to Correct the Probe Positioning Errors in a Non-Redundant Plane-Rectangular Near-Field to Far-Field Transformation”, ACES Journal, vol. 34, no. 11, pp. 1662–1670, Nov. 2019.

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