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2017-07-04
A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array
By
Progress In Electromagnetics Research M, Vol. 58, 97-106, 2017
Abstract
In this article, a novel phase mode analysis for a circular antenna array is discussed. This proposition experiments on the synthesis of Dolph- Chebyshev pattern for circular geometry employing directional element 1+cos(φ). Here, for pattern synthesis a modi ed uniform sampling method is proposed, and for investigation of continuous current excitation in a circular array, a Fourier phase-mode approach is proposed. The synthesis process permits generation of complex weights for each element to produce the Chebyshev pattern with a desired beamwidth or Side Lobe Level (SLL). The radius is a key factor for a circular geometry and also decides the pattern synthesis, which is determined by using the phase mode concept. Also, this article contributes to the formulation of a mathematical relationship between the number of phase modes (P) and number of antenna elements in the array (N) such as N = 2(P-1).
Citation
Mavulluri Ganesh, and Konidala Ratna Subhashini, "A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array," Progress In Electromagnetics Research M, Vol. 58, 97-106, 2017.
doi:10.2528/PIERM17050303
References

1. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley & Sons, 2016.

2. Zainud Deen, S. H., E. S. Mady, K. H. Awadalla, and H. A. Harsher, "Controlled radiation pattern of circular antenna array," IEEE Antennas and Propagation Society International Symposium 2006, 3399-3402, IEEE, 2006.
doi:10.1109/APS.2006.1711344        Google Scholar

3. Pesik, L. J., D. L. Paul, C. J. Railton, G. S. Hilton, and M. A. Beach, "FDTD technique for modelling eight-element circular antenna array," Electronics Letters, Vol. 42, 787-788, IET, 2006.
doi:10.1049/el:20061215        Google Scholar

4. Mahler, W. and F. M. Landstorfer, "Design and optimisation of an antenna array for WiMAX base stations," IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 1006-1009, IEEE, 2005.        Google Scholar

5. Dessouky, M. I., H. A. Sharshar, and Y. A. Albagory, "Efficient sidelobe reduction technique for small-sized concentric circular arrays," Progress In Electromagnetics Research, Vol. 65, 187-200, 2006.
doi:10.2528/PIER06092503        Google Scholar

6. Gurel, L. and O. Ergul, "Design and simulation of circular arrays of trapezoidal-tooth log-periodic antennas via genetic optimization," Progress In Electromagnetics Research, Vol. 85, 243-260, 2008.
doi:10.2528/PIER08081809        Google Scholar

7. Rahmat-Samii, Y. and E. Michielssen, "Electromagnetic optimization by genetic algorithms," Microwave Journal, Vol. 42, 232, Horizon House Publications, Inc., 1999.        Google Scholar

8. Davies, D. E. N., "A transformation between the phasing techniques required for linear and circular aerial arrays," Proceedings of the Institution of Electrical Engineers, Vol. 112, 2041-2045, IET, 1965.
doi:10.1049/piee.1965.0340        Google Scholar

9. Davies, D. E. N., The Handbook of Antenna Design, Vol. 2, 299-329, P. Peregrinus, London, UK, 1983.

10. Dolph, C. L., "A current distribution for broadside arrays which optimizes the relationship between beam width and side-lobe level," Proceedings of the IRE, Vol. 34, 335-348, IEEE, 1946.
doi:10.1109/JRPROC.1946.225956        Google Scholar

11. Stegen, R. J., "Excitation coefficients and beamwidths of Tschebyscheff arrays," Proceedings of the IRE, Vol. 41, 1671-1674, IEEE, 1953.
doi:10.1109/JRPROC.1953.274197        Google Scholar

12. Barbiere, D., "A method for calculating the current distribution of Tschebyscheff arrays," Proceedings of the IRE, Vol. 40, 78-82, IEEE, 1952.
doi:10.1109/JRPROC.1952.273938        Google Scholar

13. Safaai-Jazi, A., "A new formulation for the design of Chebyshev arrays," IEEE Transactions on Antennas and Propagation, Vol. 42, 439-443, IEEE, 1994.
doi:10.1109/8.280736        Google Scholar

14. Lau, B. K. and Y. H. Leung, "A Dolph-Chebyshev approach to the synthesis of array patterns for uniform circular arrays," The 2000 IEEE International Symposium on Circuits and Systems, 2000, Proceedings, ISCAS 2000 Geneva, Vol. 1, 124-127, IEEE, 2000.        Google Scholar

15. De Abreu, G. T. F. and R. Kohno, "A modified Dolph-Chebyshev approach for the synthesis of low sidelobe beampatterns with adjustable beamwidth," IEEE Transactions on Antennas and Propagation, Vol. 51, 3014-3017, IEEE, 2003.
doi:10.1109/TAP.2003.817989        Google Scholar

16. Eiges, R. and H. D. Griffiths, "Mode-space spatial spectral estimation for circular arrays," IEEE Proceedings - Radar, Sonar and Navigation, Vol. 141, 300-306, IET, 1994.
doi:10.1049/ip-rsn:19941539        Google Scholar

17. Reddy, K. M. and V. U. Reddy, "Analysis of spatial smoothing with uniform circular arrays," IEEE Transactions on Signal Processing, Vol. 47, 1726-1730, IEEE, 1999.
doi:10.1109/78.765150        Google Scholar

18. Josefssona, L. and P. Perssonb, Conformal Array Antennas, Springer, 2015.

19. Hansen, R. C., Phased Array Antennas, Vol. 213, John Wiley & Sons, 2009.
doi:10.1002/9780470529188

20. Mailloux, R. J., Phased Array Antenna Handbook, Vol. 2, Artech House Boston, 2005.

21. Garza, L. A., L. F. Yepes, D. H. Covarrubias, M. A. Alonso, and M. A. Panduro, "Synthesis of sparse circular antenna arrays applying a tapering technique over reconstructed continuous current distribution," IET Microwaves, Antennas & Propagation, Vol. 10, 347-352, IET, 2016.
doi:10.1049/iet-map.2015.0401        Google Scholar

22. Mavulluri, G. and S. K. Ratna, "Pattern synthesis of circular antenna array with directional element employing deterministic space tapering technique," Progress In Electromagnetics Research B, Vol. 75, 41-57, 2017.
doi:10.2528/PIERB17031603        Google Scholar

23. Recioui, A., "Optimization of circular antenna arrays using a differential search algorithm," Polish Academy of Sciences, 2015.        Google Scholar

24. Civicioglu, P., "Circular antenna array design by using evolutionary search algorithms," Progress In Electromagnetics Research B, Vol. 54, 265-284, 2013.
doi:10.2528/PIERB13050112        Google Scholar

25. Wang, T.-E., R. Brinkman, and K. R. Baker, "Dolph-Chebyshev pattern synthesis for uniform circular arrays," Wireless at VT, 1-9, 2011.        Google Scholar

26. Belfiori, F., S. Monni, W. Van Rossum, and P. Hoogeboom, "Side-lobe suppression techniques for a uniform circular array," 2010 European Radar Conference (EuRAD), 113-116, IEEE, 2010.        Google Scholar

27. Aumann, H. M., "Phase mode analysis of directional elements in a circular array," IEEE Antennas and Propagation Society International Symposium, 2008, AP-S 2008, 1-4, IEEE, 2008.        Google Scholar