New strategy to reduce the truncation error in near-field/far-field transformations

Radio Science

Volumn 35, Issue 1, 2000, Pages 3-17

  Bucci, O M ^a   D'Elia, G ^a   Migliore, M D ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; DIRECTIONAL PATTERNS (ANTENNA); ERRORS; ESTIMATION; EXTRAPOLATION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; ELECTRICAL ENGINEERING;

ANTENNA UNDER TEST; NEAR FIELD FAR FIELD TRANSFORMATIONS; TRUNCATION ERROR;

ELECTROMAGNETIC FIELD MEASUREMENT; RADIO;

COMPUTATIONAL EFFORT; ESTIMATION ALGORITHM; FAR-FIELD PATTERNS; FINITE SIZE; NEAR FIELDS; NEAR-FIELD/FAR-FIELD TRANSFORMATION; RADIATED FIELD; TRUNCATION ERRORS;

EID: 0033872347     PISSN: 00486604     EISSN: None     Source Type: Journal    
DOI: 10.1029/1999RS900073     Document Type: Article

References (28)

1. Bertero, M., Linear inverse and Ill-Posed Problems, Academic, San Diego, Calif., 1989.
2. Bertero, M., C. De Mol, and E. R. Pike, Linear inverse problems with discrete data, I, General formulation and singular system analysis, Inverse Probl., 1, 301-330, 1985.
3. Bertero, M., C. De Mol, and E. R. Pike, Linear inverse problems with discrete data, II, Stability and regularization, Inverse Probl., 4, 573-594, 1988.
4. Bucci, O. M., and G. D'Elia, Advanced sampling techniques in electromagnetics, in Reviews of Radio Science, 1996-1999, pp. 177-204, Oxford Univ. Press, New York, 1999.
5. Bucci, O. M., and G. Franceschetti, On the spatial band-width of scattered fields, IEEE Trans. Antennas Propag., 35, 1445-1455, 1987.
6. Bucci, O. M., and G. Franceschetti, On the degrees of freedom of scattered fields, IEEE Trans. Antennas Propag., 37, 918-926, 1989.
7. Bucci, O. M., G. D'Elia, and M. D. Migliore, A new technique for filtering environmental reflections in antenna measurements, paper presented at the 7th AMTA Symposium, Williamsburg, Va., 1995.
8. Bucci, O. M., G. D'Elia, and M. D. Migliore, An environmental reflection filtering strategy for plane-polar near-field antenna measurement, paper presented at the 8th AMTA Symposium, Seattle, Wash., 1996.
9. 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 Propag., 46, 351-359, 1998.
10. Cadzow, J. A., An extrapolation procedure for band-limited signals, IEEE Trans. Acoust. Speech Signal Process., 27(1), 4-12, 1979.
11. Ferreira, P. J. S. G., Incomplete sampling series and the recovery of missing samples from oversampled band-limited signals, IEEE Trans. Signal Process., 40, 225-227, 1992.
12. Ferreira, P. J. S. G., The stability of a procedure for recovery of lost samples in band-limited signals, Signal Process., 40, 195-205, 1994a.
13. Ferreira, P. J. S. G., Noniterative and fast iterative methods for interpolation and extrapolation, IEEE Trans. Signal Process., 42, 3278-3282, 1994b.
14. Frieden, B. R., Evaluation, design and extrapolation methods for optical signals, based on the use of prolate functions, Prog. Opt., IX, 313-407, 1971.
15. Golub, G. M., and L. F. Van Loan, Matrix Computation, Johns Hopkins Univ. Press, Baltimore, Md., 1983.
16. Marks, R. J., II, Restoring lost samples from an over-sampled hand-limited signal, IEEE Trans. Acoust. Speech Signal Process., 31(3), 752-755, 1983.
17. Melkman, A. A., and C. A. Michelli, Optimal estimation of linear operators in Hilbert spaces from inaccurate data, SIAM J. Numer. Anal., 16, 87-105, 1979.
18. Migliore, M. D., G. Romito, and F. Soldovieri, An automated near-field amplitude measurement system, internal report, Dip. di Ing. Elletron. e delle Telecomun., Univ. di Napoli "Federico," Naples, Italy, 1995.
19. Newell, A. C., Error analysis techniques for planar near-field measurements, IEEE Trans. Antennas Propag., 36, 754-768, 1988.
20. Paupoulis, A., A new algorithm in spectral analysis and band-limited extrapolation, IEEE Trans. Circuits Syst., 22(9), 735-742, 1975.
21. Pinkus, A., N-width in Approximation Theory, Springer-Verlag, New York, 1985.
22. Sano, A., Optimally regularized inverse of singular value decomposition and application to signal extrapolation, Signal Process., 30, 163-176, 1993.
23. Slater, D., Near-Field Antenna Measurements, Artech House, Norwood. Mass., 1991.
24. Slepian, D., and H. O. Pollak, Prolate spheroidal wave functions, Fourier analysis and uncertainty-I, Bell Syst. Tech. J., 40(1), 43-63, Jan. 1961.
25. Sullivan, B. J., On the use of singular value decomposition and decimation in discrete-time band-limited signal extrapolation, IEEE Trans. Acoust. Speech Signal Process., 32(6), 1201-1212, 1984.
26. Tikhonov, A., and V. Arsenine, Mèthodes de Rèsolution de Problèmes Mal Posès, Ed. MIR, Moscow, 1976.
27. Williams, L. I., Y. Rahmat-Samii, and R. G. Yaccarino, The bi-polar planar near-field measurement technique, I, Implementation and measurement comparison, IEEE Trans. Antennas Propag., 42, 184-195, 1994.
28. Yanghijan, A. D., and R. C. Wittmann, The receiving antenna as a linear differential operator: Application to spherical near-field scanning, IEEE Trans. Antennas Propag., 33, 1175-1185, 1985.