Vol. 47

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2016-04-13

Properties and Applications of Error Coefficient Matrix in Linear Antenna Array Design

By Bhargav Appasani
Progress In Electromagnetics Research M, Vol. 47, 171-180, 2016
doi:10.2528/PIERM16010201

Abstract

This paper presents the theoretical framework for a new technique in the field of linear antenna arrays with amplitude control called error coefficient matrix. First of all, the array factor is expressed as a summation of contribution from the elements of the array. It will be shown that for small errors in excitation amplitude, the error in the overall radiation pattern at a given angle is a summation of errors contributed by the individual elements of the array at that angle. An error coefficient matrix is proposed, and its properties are discussed in great detail. The accuracy of the proposed method is investigated for varying levels of errors in weights and for varying number of error elements, using Monte-Carlo simulation. Finally, the applications of this new technique in the field of antenna arrays are presented.

Citation


Bhargav Appasani, "Properties and Applications of Error Coefficient Matrix in Linear Antenna Array Design," Progress In Electromagnetics Research M, Vol. 47, 171-180, 2016.
doi:10.2528/PIERM16010201
http://www.jpier.org/PIERM/pier.php?paper=16010201

References


    1. Elliott, R. E., "Mechanical and electrical tolerances for two-dimensional scanning antenna arrays," IRE Trans., Vol. 6, No. 1, 114-120, Jan. 1958.

    2. Rodriguez, J. A., F. Ares, H. Palacios, and J. Vassal'lo, "Finding defective elements in planar arrays using genetic algorithms," Progress In Electromagnetics Research, Vol. 29, 25-37, 2000.
    doi:10.2528/PIER00011401

    3. Vakula, D. and N. V. S. N. Sarma, "Fault diagnosis of planar antenna arrays using neural networks," Progress In Electromagnetics Research M, Vol. 6, 35-46, 2009.
    doi:10.2528/PIERM09011204

    4. Acharya, O., A. Patnaik, and B. Choudhury, "Fault finding in antenna arrays using bacteria foraging optimization technique," National Conference on IEEE Communications (NCC), 1-5, Bangalore, 2011.

    5. Oliveri, G., R. Paolo, and A. Massa, "Reliable diagnosis of large linear arrays - A Bayesian compressive sensing approach," IEEE Trans. Antennas Propag., Vol. 60, 4627-4636, 2012.
    doi:10.1109/TAP.2012.2207344

    6. Harrou, F. and M. N. Nounou, "Monitoring linear antenna arrays using exponentially weighted moving average based fault detection scheme," System Science and Control Engineering, Vol. 2, 433-443, 2014.
    doi:10.1080/21642583.2014.913821

    7. Migliore, M. D., et al., "A sparse recovery approach for pattern correction of active arrays in presence of element failures," IEEE Antennas Wireless Propag. Lett., Vol. 14, 1027-1030, 2015.
    doi:10.1109/LAWP.2014.2374605

    8. Zhang, Y. and H. Zhao, "Failure diagnosis of a uniform linear array in the presence of mutual coupling," IEEE Antennas Wireless Propag. Lett., Vol. 14, 1010-1013, 2015.
    doi:10.1109/LAWP.2015.2389894

    9. Anselmi, N., L. Manica, P. Rocca, and A. Massa, "Tolerance analysis of antenna arrays through interval arithmetic," IEEE Trans. Antennas Propag., Vol. 61, No. 11, 5496-5507, Nov. 2013.
    doi:10.1109/TAP.2013.2276927

    10. Manica, L., N. Anselmi, P. Rocca, and A. Massa, "Robust mask-constrained linear array synthesis through an interval-based particle swarm optimisation," IET Microw. Antennas Propag., Vol. 7, No. 12, 976-984, Sep. 2013.
    doi:10.1049/iet-map.2013.0203

    11. Balanis, C. A., Antenna Theory Analysis and Design, John Wiley & Sons, 1997.

    12. Ren, X. F., J. A. Azevedo, and A. M. Casimiro, "Synthesis of non-uniformly spaced arrays using the Fourier transform and window techniques," IET Microw. Antennas Propag., Vol. 3, 1245-1253, 2009.
    doi:10.1049/iet-map.2008.0217

    13. Kurup, D. G., M. Himdi, and A. Rydberg, "Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm," IEEE Trans. Antennas Propag., Vol. 51, 2210-2217, 2003.
    doi:10.1109/TAP.2003.816361

    14. Chen, K., Z. He, and C. Han, "A modified real GA for the sparse linear array synthesis with multiple constraints," IEEE Trans. Antennas Propag., Vol. 54, 2169-2173, 2006.
    doi:10.1109/TAP.2006.877211

    15. Khodier, M. M. and C. G. Christodoulou, "Linear array geometry synthesis with minimum side lobe level and null control using particle swarm optimization," IEEE Trans. Antennas Propag., Vol. 53, 2674-2679, 2005.
    doi:10.1109/TAP.2005.851762

    16. Bhargav, A. and N. Gupta, "Multi-objective genetic optimization of non-uniform linear array with low sidelobes and beamwidth," IEEE Antennas Wireless Propag. Lett., Vol. 12, 1547-1549, 2013.
    doi:10.1109/LAWP.2013.2292573

    17. Mautz, J. R. and R. F. Harrington, "Computational methods for antenna pattern synthesis," IEEE Trans. Antennas Propag., Vol. 23, 507-512, Jul. 1975.

    18. Bucci, O. M., G. D. Elia, and G. Romito, "Power synthesis of conformal arrays by a generalized projection method," IEE Proceedings on Microwaves Antennas and Propagation, Vol. 142, No. 6, 467-471, Dec. 1995.
    doi:10.1049/ip-map:19952290

    19. Khzmalyan, A. D. and A. S. Kondratyev, "Phase-only synthesis of antenna array amplitude pattern," International Journal of Electronics, Vol. 81, No. 5, 585-589, 1996.
    doi:10.1080/002072196136490

    20. Haupt, R. L., "Phase-only adaptive nulling with a genetic algorithm," IEEE Trans. Antennas Propag., Vol. 45, 1009-1015, Jun. 1997.
    doi:10.1109/8.585749

    21. Vaskelainen, L. I., "Constrained least-square optimization in conformal array antenna synthesis," IEEE Trans. Antennas Propag., Vol. 55, 859-867, Mar. 2007.
    doi:10.1109/TAP.2007.891860

    22. Comisso, M. and R. Vescovo, "Fast co-polar and cross-polar 3D pattern synthesis with dynamic range ratio reduction for conformal antenna arrays," IEEE Trans. Antennas Propag., Vol. 61, No. 2, 614-626, Feb. 2013.
    doi:10.1109/TAP.2012.2224834

    23. Zhang, Y., Z. Zhao, Z. Nie, and Q. H. Liu, "Full-polarisation three-dimensional pattern synthesis for conformal conical arrays with dynamic range ratio constraint by using the initializations based on equivalence theorem," IET Microw. Antennas Propag., Vol. 9, No. 15, 1659-1666, Dec. 2015.
    doi:10.1049/iet-map.2015.0273

    24. Miller, K., "Synthesizing linear-array patterns via matrix computation of element currents," IEEE Antennas and Propagation Magazine, Vol. 55, No. 5, 85-96, Oct. 2013.
    doi:10.1109/MAP.2013.6735478