Vol. 58

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2017-07-04

A Fourier Phase Mode Approach for Chebyshev Pattern Synthesis in Circular Antenna Array

By Mavulluri Ganesh and Konidala Ratna Subhashini
Progress In Electromagnetics Research M, Vol. 58, 97-106, 2017
doi:10.2528/PIERM17050303

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
http://jpier.org/PIERM/pier.php?paper=17050303

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

    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

    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.

    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

    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

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

    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

    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

    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

    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

    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

    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.

    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

    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

    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

    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

    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

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

    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

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

    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.

    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.