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2025-02-18
An Optimized Phase-Only Trapezoid Taper Window for Array Pattern Shaping
By
Progress In Electromagnetics Research C, Vol. 152, 245-251, 2025
Abstract
Generally, the array pattern synthesizing can be shaped by controlling the excitation amplitude and phase of the individual elements of the antenna array which they could be controlled either separately or jointly to provide most flexible solutions for the desired pattern shaping. In this paper, a new controllable trapezoid phase-only taper is proposed. In practical applications, phase-only tapers are more preferable than amplitude-only tapers due to their desirable advantages. The required pattern shaping with fulfilled user-defined constraints on the sidelobe peaks, beam widths, and steered nulls can be achieved by optimizing only the excitation phases of the trapezoidal taper. More importantly, the proposed trapezoidal taper offers the best tradeoff between the array directivity and undesirable sidelobe pattern. In addition, the element excitation amplitudes of the proposed phase-only trapezoid taper are made constant and equal to that of the original trapezoid taper function. Thus, it enjoys low array complexity. Moreover, the manipulated phases are assumed to be symmetric to further simplify the array feeding network. The genetic algorithm was used to optimize only the half number of the elements' phases. The results show that the phase-only trapezoid taper yields identical main beam shape to that of the amplitude-only trapezoid taper and much better than the other conventional tapers. Furthermore, it is found that the trapezoid phase-only method needs more variable elements than the trapezoid amplitude-only method to achieve almost the same performance. Thus, the complexity reduction percentage of the phase-only method is lower than that of the amplitude-only method.
Citation
Jafar Ramadhan Mohammed, "An Optimized Phase-Only Trapezoid Taper Window for Array Pattern Shaping," Progress In Electromagnetics Research C, Vol. 152, 245-251, 2025.
doi:10.2528/PIERC24122101
References

1. Balanis, Constantine A., Antenna Theory: Analysis and Design, 3rd Ed., John Wiley & Sons, Hoboken, 2015.

2. Keizer, Will P. M. N., "Fast low-sidelobe synthesis for large planar array antennas utilizing successive fast Fourier transforms of the array factor," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 715-722, 2007.

3. Harris, F. J., "On the use of windows for harmonic analysis with the discrete Fourier transform," Proceedings of the IEEE, Vol. 66, No. 1, 51-83, 1978.

4. Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck, Discrete-Time Signal Processing, 2nd Ed., 465-478, Prentice Hall, Upper Saddle River, N.J., 1999.

5. Aljaf, D. A. and J. R. Mohammed, "Multiple antenna array patterns reconfiguration with common excitation amplitudes and optimized phases," Journal of Engineering Science and Technology, Vol. 18, No. 2, 1199-1208, Apr. 2023.

6. Haupt, R. L., "Phase-only adaptive nulling with a genetic algorithm," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 6, 1009-1015, Jun. 1997.

7. Abdulqader, Ahmed Jameel, Jafar Ramadhan Mohammed, and Raad H. Thaher, "Phase-only nulling with limited number of controllable elements," Progress In Electromagnetics Research C, Vol. 99, 167-178, 2020.

8. Liang, Junli, Xuhui Fan, Wen Fan, Deyun Zhou, and Jian Li, "Phase-only pattern synthesis for linear antenna arrays," IEEE Antennas and Wireless Propagation Letters, Vol. 16, 3232-3235, 2017.

9. Mohammed, Jafar Ramadhan, "An optimum side-lobe reduction method with weight perturbation," Journal of Computational Electronics, Vol. 18, No. 2, 705-711, 2019.

10. Jin, Nanbo and Yahya Rahmat-Samii, "Advances in particle swarm optimization for antenna designs: Real-number, binary, single-objective and multiobjective implementations," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 3, 556-567, Mar. 2007.

11. Shaker, Rana R. and Jafar R. Mohammed, "Obtaining feasible minimum side lobe level for narrow beam width using convex optimization in linear, planar, and random antenna arrays," Applied Computational Electromagnetics Society Journal (ACES), Vol. 37, No. 7, 811-816, Jul. 2022.

12. Abdulqader, Ahmed Jameel, Jafar Ramadhan Mohammed, and Yaser Ahmed Ali, "A T-shaped polyomino subarray design method for controlling sidelobe level," Progress In Electromagnetics Research C, Vol. 126, 243-251, 2022.

13. Haupt, R., "Null synthesis with phase and amplitude controls at the subarray outputs," IEEE Transactions on Antennas and Propagation, Vol. 33, No. 5, 505-509, 1985.

14. Mohammed, Jafar Ramadhan, "Synthesizing non-uniformly excited antenna arrays using tiled subarray blocks," Journal of Telecommunications and Information Technology, No. 4, 25-29, 2023.

15. Mohammed, Jafar Ramadhan, "Minimizing grating lobes in large arrays using clustered amplitude tapers," Progress In Electromagnetics Research C, Vol. 120, 93-103, 2022.

16. Mohammed, J. R., "Optimal null steering method in uniformly excited equally spaced linear arrays by optimising two edge elements," Electronics Letters, Vol. 53, No. 13, 835-837, Jun. 2017.

17. Mohammed, Jafar Ramadhan, "Element selection for optimized multiwide nulls in almost uniformly excited arrays," IEEE Antennas and Wireless Propagation Letters, Vol. 17, No. 4, 629-632, Apr. 2018.

18. Mohammed, J. R., "Phased array antenna with ultra-low sidelobes," Electronics Letters, Vol. 49, No. 17, 1055-1056, Aug. 2013.

19. Mohammed, Jafar Ramadhan and Khalil Hassan Sayidmarie, "Sensitivity of the adaptive nulling to random errors in amplitude and phase excitations in array elements," Journal of Telecommunication, Electronic and Computer Engineering (JTEC), Vol. 10, No. 1, 51-56, Jan.-Mar. 2018.

20. Mohammed, Jafar Ramadhan, "Array pattern synthesis using a new adaptive trapezoid window function for sidelobe suppression and nulls control," Progress In Electromagnetics Research M, Vol. 129, 83-90, 2024.

21. Mohammed, Jafar Ramadhan, Ahmed Jameel Abdulqader, and Raad H. Thaher, "Array pattern recovery under amplitude excitation errors using clustered elements," Progress In Electromagnetics Research M, Vol. 98, 183-192, 2020.