volume | PIER Journals

Abstract

A novel fast and accurate interpolation technique for recovering the uniformly distributed samples from the irregularly spaced samples, collected non-uniformly due to the probe position error in planar near-field antenna measurements, is presented. The technique employs Yen's interpolator and tries to make it as practical as possible for the use in near-field antenna measurements. A comprehensive simulation capability is developed and through out the simulations the speed and precision of this accurate and timely efficient interpolation technique is compared with some other techniques which are also based on Yen's interpolators. The results well demonstrate the advantages of our technique we termed "The Cross-Rail Technique".

1. Rahmat-Samii, Y., L. I. Williams, and R. G. Yaccarino, "The UCLA Bi-polar planar-near-field antenna measurement and diagnostics range," IEEE Antennas and Propagation Magazine, Vol. 42, No. 6, 16-35, 1995.
doi:10.1109/74.482029 Google Scholar

2. D'Agostino, F., C. Gennarelli, G. Riccio, and C. Savarese, "Theoretical foundations of near-field-far-field transformations with spiral scanning," Progress In Electromagnetics Research, Vol. 61, 193-214, 2006.
doi:10.2528/PIER06021401 Google Scholar

3. Yaghjian, A. D., "An overview of near-field antenna measurements," IEEE Transactions on Antennas and Propagation, Vol. AP-34, No. 1, 30-45, 1986.
doi:10.1109/TAP.1986.1143727 Google Scholar

4. Newell, A. C., "Error Analysis Techniques for planar nearfield measurements," IEEE Transactions on Antennas and Propagation, Vol. AP-36, No. 6, 1988. Google Scholar

5. Fooshe, D. S., "Application of error correction technologies to near-field antenna measurement systems," Proceedings of IEEE Aerospace Applications Conference, Vol. 1, 141-149, 1996.

6. Okhovvat, M. and M. Hakkak, "Probe-position error correction for time-domain planar near-field antenna measurements," Iranian Journal of Science and Technology, Vol. 26, 629-638, 2002. Google Scholar

7. Sten, J. C. and A. Hujanen, "Aspects on the phase delay and phase velocity in the electromagnetic near-field," Progress In Electromagnetics Research, Vol. 56, 67-80, 2006.
doi:10.2528/PIER05051201 Google Scholar

8. Rahmat-Samii, Y. and R. Lap-Tung Cheung, "Nonuniform sampling techniques for antenna applications," IEEE Transactions on Antennas and Propagation, Vol. AP-35, No. 3, 268-279, 1987.
doi:10.1109/TAP.1987.1144092 Google Scholar

9. Jerri, A. J., "The Shannon sampling theorem-Its various extensions and applications: A tutorial review," Proc. IEEE, Vol. 65, No. 11, 1977.

10. Dehghanian, V.M. Okhovvat, and M. Hakkak, "A new interpolation method for reconstructing non-uniformly spaced samples into uniform ones in planar near-field antenna measurements," IEEE Antennas and Propagation Society International Symposium, Vol. 3, 207-210, 2003.

11. Bucci, O. M., C. Gennarelli, and C. Savarese, "Fast and accurate near-field-far-field transformation by sampling interpolation of plane polar measurements," IEEE Transactions on Antennas and Propagation, Vol. AP-39, 48-55, 1991.
doi:10.1109/8.64434 Google Scholar

12. Choi, H. and D. C. Munson, "Analysis and design of minimaxoptimal interpolators," IEEE Trans. Signal Processing, Vol. 46, No. 6, 1998.
doi:10.1109/78.678470 Google Scholar

13. Ahmad, M. O., "An iterative procedure for uniform sampling of 2-D signals from non-equally spaced samples," IEEE International Symposium on Circuits and Systems, 1087-1091, 1989.

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

15. Raz, R., "On the complexity of matrix product," SIAM Journal on Computing, Vol. 32, No. 5, 1356-1369, 2003.
doi:10.1137/S0097539702402147 Google Scholar

16. Francis, M. H., A. C. Newell, K. R. Grimm, J. Hoffman, and H. E. Schrank, "Comparison of ultra low sidelobe antenna for far field patterns using the planar near field method and the far field method," IEEE Antenna and Propagation Magazine, Vol. 37, No. 6, 1995. Google Scholar

Dr. V. Dehghanian

Dr. M. Okhovvat

Prof. Mohammad Hakkak