paper 150301210833

Abstract

A new approach to reconstructing antenna far-field patterns from the missing part of the pattern is presented in this paper. The antenna far-field pattern can be reconstructed by utilizing the iterative Hilbert transform, which is based on the relationship between the real and imaginary part of the Hilbert transform. A moving average filter is used to reduce the errors in the restored signal as well as the computation load. Under the constraint of the causality of the current source in space, we could successfully reconstruct the data. Several examples dealing with line source antennas and antenna arrays are simulated to illustrate the applicability of this approach.

1. Oppenheim, A. V. and R. W. Schafer, Digital Signal Processing, 3nd. Englewood Cliffs, Prentice-Hall, NJ, 1999.
doi:10.21236/ada110902 Google Scholar

2. Hayes, H. M., J. S. Lim, and A. V. Oppenheim, "Signal reconstruction from phase or magnitude," IEEE Trans. on Acoustics, Speech and Signal Processing, Vol. 28, No. 6, December 1980.
doi:10.1109/tassp.1980.1163463 Google Scholar

3. Gabor, D., "Theory of communication," Vol. 93, No. 3, No. 3, 429-457, Institute of Electrics Engineering, November 1946.
doi:10.1049/ji-1.1947.0015 Google Scholar

4. Quatieri, T. F. and A. V. Oppenheim, "Iterative techniques for minimum phase signal reconstruction from phase or magnitude," IEEE trans. on Acoustics, Speech and Signal Processing, Vol. 29, No. 6, 1187-1193, 1981.
doi:10.1109/tassp.1981.1163714 Google Scholar

5. Carballar, A. and M. A. Muriel, "Phase reconstruction from reflectivity in fiber Bragg gratings," IEEE Light Wave Technology, Vol. 15, No. 8, 1314-1322, 1997.
doi:10.1109/50.618330 Google Scholar

6. Guillemin, E. A., Synthesis of Passive Networks, Krieger, New York, 1977. Google Scholar

7. Kazemipour, A., X. Begaud, and D. Allal, "E-field measurement, accuracy and uncertainties," 189-191, ECEE, June 2007.
doi:10.1109/emceco.2007.4371684 Google Scholar

8. James, G. C., "Phase retrieval and near field antenna measurements," Processing URSI Symp, 510-512, Sydney, Australia, 1992. Google Scholar

9. Martens, L. J. and A. N. Venetsanopoulos, "A comparison of adaptive order statistic filters using different images," IEEE Systems Engineering, 77-80, August 1989.
doi:10.1109/icsyse.1989.48624 Google Scholar

10. Stuzman, W. L. and G. A. Thiele, Antenna Theory and Design, John Wiley & Sons, 1981. Google Scholar

11. Kolundzija, B., et al., WIPL-D: Electromagnetic Modeling of Composite Metallic and Dielectric Structures-Software and User's Manual, Artech House, Norwood, MA, 2000. Google Scholar

Jinhwan Koh

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