Hostname: page-component-669899f699-ggqkh Total loading time: 0 Render date: 2025-04-30T19:50:07.521Z Has data issue: false hasContentIssue false

Multi-pattern synthesis in fourth-dimensional antenna arrays using BGM-based quasi-Newton memetic optimization method

Published online by Cambridge University Press:  01 August 2023

Avishek Chakraborty*
Affiliation:
Department of EECE, GST, GITAM University, Bengaluru, India
Ravi Shankar Saxena
Affiliation:
Department of ECE, GMR Institute of Technology Rajam, Andhra Pradesh, India
Anshoo Verma
Affiliation:
Department of CE, IES Institute of Technology and Management, IES University, Bhopal, India
Ashima Juyal
Affiliation:
Uttaranchal Institute of Technology, Uttaranchal University, Dehradun, India
Sumit Gupta
Affiliation:
Department of ECE, SR University, Warangal, Telangana, India
Indrasen Singh
Affiliation:
School of Electronics Engineering, VIT Vellore, Tamil Nadu, India
Gopi Ram
Affiliation:
Department of ECE, NIT Warangal, Telangana, India
Durbadal Mandal
Affiliation:
Department of ECE, NIT Durgapur, West Bengal, India
*
Corresponding author: Avishek Chakraborty; Email: [email protected]

Abstract

The advancement in wireless communication is fueling the growth of innovative antenna array designs toward cost-effective and performance-oriented solutions. This paper proposed unconventional methods to design antenna arrays for multi-pattern synthesis without using attenuators or phase shifters. A low-cost alternative is proposed with “Time-modulation”-based antenna array capable of electronic scanning and beam steering. Here, “Time” is utilized as a fourth-dimensional (4D) array parameter, and that is why “Time-modulated” arrays are also called as 4D antenna arrays. The idea is to control the high-speed switch attached with each antenna periodically to produce desirable current and phase tapering. This article expanded the “Time-modulation” concept to synthesize multiple radiation patterns like monopulse patterns, scanned beam patterns, shaped beam patterns, and cosecant-squared beam patterns for multifunctional radar systems. Suitable time schemes are developed to generate the narrowband sum–difference patterns useful for monopulse radars. Simultaneous scanned beam patterns are also proposed for narrowband communication. Furthermore, to address the wideband applications, shaped flat-top beam patterns and cosecant-squared beam patterns are also proposed. In this regard, 20- and 16-element “Time-modulated” linear array antennas are developed, and the parameters of the arrays are controlled by suitably designed objective functions with quasi-Newton method (QNM)-based memetic optimization method. For this purpose, first a well-known genetic algorithm is adopted to search the potential trust regions in the exploration stage and QNM is used for fine-tuning. Furthermore, the Broyden’s good method-based direction-updating equation is used with QNM to improve the performance.

Type
Antenna Design, Modelling and Measurements
Copyright
© The Author(s), 2023. Published by Cambridge University Press in association with the European Microwave Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Hansen, RC (2009) Phased Array Antennas, 2nd edn. Chang Kai Wiley Series in Microwave and Optical Engineering. Hoboken, New Jersey: John Wiley & Sons.10.1002/9780470529188CrossRefGoogle Scholar
Mailloux, RJ (2006) A history of phased array antennas. In History of Wireless, Chang, Kai Wiley Series in Microwave and Optical Engineering. Hoboken, New Jersey: John Wiley & Sons, 567603.Google Scholar
Chakraborty, A, Ram, G and Mandal, D (2021) Time-domain approach towards smart antenna design. In Signals and Communication Technology, Wideband, Multiband, and Smart Antenna Systems Switzerland AG: Springer, Cham, 363394.Google Scholar
Rocca, P, Oliveri, G, Mailloux, RJ and Massa, A (2016) Unconventional phased array architectures and design methodologies—a review. Proceedings of the IEEE 104(3), 544560.10.1109/JPROC.2015.2512389CrossRefGoogle Scholar
Shanks, HE and Bickmore, RW (1959) Four-dimensional electromagnetic radiators. Canadian Journal of Physics 37, 263275.10.1139/p59-031CrossRefGoogle Scholar
Shanks, HE (1961) A new technique for electronic scanning. IRE Transactions on Antennas and Propagation 9, 162166.10.1109/TAP.1961.1144965CrossRefGoogle Scholar
Kummer, WH, Villeneuve, AT, Fong, TS and Terrio, FG (1963) Ultra-low sidelobes from time-modulated arrays. IEEE Transactions on Antennas and Propagation 11, 633639.10.1109/TAP.1963.1138102CrossRefGoogle Scholar
Haupt, RL (2017) Antenna arrays in the time domain: An introduction to timed arrays. IEEE Antennas and Propagation Magazine 59, 3341.10.1109/MAP.2017.2686082CrossRefGoogle Scholar
Yang, S, Chen, Y and Nie, Z (2008) Multiple patterns from time-modulated linear antenna arrays. Electromagnetics 28, 562571.10.1080/02726340802428671CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2022) Electronic beam steering in timed antenna array by controlling the harmonic patterns with optimally derived pulse-shifted switching sequence. In International Conference on Innovative Computing and Communications, 205216.10.1007/978-981-16-3071-2_18CrossRefGoogle Scholar
Rocca, P, Yang, F, Poli, L and Yang, S (2019) Time-modulated array antennas–theory, techniques, and applications. Journal of Electromagnetic Waves and Applications 33(12), 15031531.10.1080/09205071.2019.1627251CrossRefGoogle Scholar
Maneiro-Catoira, R, Brégains, J, García-Naya, JA and Castedo, L (2017) Time modulated arrays: From their origin to their utilization in wireless communication systems. Sensors 17(3), .10.3390/s17030590CrossRefGoogle ScholarPubMed
Fondevila, J, Brégains, JC, Ares, F and Moreno, E (2004) Optimizing uniformly excited linear arrays through time modulation. IEEE Antennas and Wireless Propagation Letters 3, 298301.10.1109/LAWP.2004.838833CrossRefGoogle Scholar
Yang, S, Gan, YB and Tan, PK (2003) A new technique for power-pattern synthesis in time-modulated linear arrays. IEEE Antennas and Wireless Propagation Letters 2, 285287.10.1109/LAWP.2003.821556CrossRefGoogle Scholar
Brégains, JC, Fondevila-Gómez, J, Franceschetti, G and Ares, F (2008) Signal radiation and power losses of time-modulated arrays. IEEE Transactions on Antennas and Propagation 56, 17991804.10.1109/TAP.2008.923345CrossRefGoogle Scholar
Yang, S, Gan, YB and Qing, A (2002) Sideband suppression in time-modulated linear arrays by the differential evolution algorithm. IEEE Antennas and Wireless Propagation Letters 1, 173175.10.1109/LAWP.2002.807789CrossRefGoogle Scholar
Yang, S, Can, YB and Tan, PK (2004) Comparative study of low sidelobe time modulated linear arrays with different time schemes. Journal of Electromagnetic Waves and Applications 18, 14431458.10.1163/1569393042954910CrossRefGoogle Scholar
Tennant, A and Chambers, B (2007) A two-element time-modulated array with direction-finding properties. IEEE Antennas and Wireless Propagation Letters 6, 6465.10.1109/LAWP.2007.891953CrossRefGoogle Scholar
Li, G, Yang, S, Chen, Y and Nie, Z (2009) A novel electronic beam steering technique in time modulated antenna arrays. Progress in Electromagnetics Research 97, 391405.10.2528/PIER09072602CrossRefGoogle Scholar
Tong, Y and Tennant, A (2010) Simultaneous control of sidelobe level and harmonic beam steering in time-modulated linear arrays. Electronics Letters 46, 200202.10.1049/el.2010.2629CrossRefGoogle Scholar
Poli, L, Rocca, P, Oliveri, G and Massa, A (2011) Harmonic beamforming in time-modulated linear arrays. IEEE Transactions on Antennas and Propagation 59, 25382545.10.1109/TAP.2011.2152323CrossRefGoogle Scholar
Tong, Y and Tennant, A (2012) A two-channel time modulated linear array with adaptive beamforming. IEEE Transactions on Antennas and Propagation 60, 141147.10.1109/TAP.2011.2167936CrossRefGoogle Scholar
Poli, L, Moriyama, T and Rocca, P (2014) Pulse splitting for harmonic beamforming in time-modulated linear arrays. International Journal of Antennas and Propagation 2014, 19.10.1155/2014/797590CrossRefGoogle Scholar
Chakraborty, A, Mandal, D and Ram, G (2019) Beam steering in a time switched antenna array with reduced side lobe level using evolutionary optimization technique. In 2019 IEEE Indian Conference on Antennas and Propagation, InCAP 2019.10.1109/InCAP47789.2019.9134497CrossRefGoogle Scholar
Ram, G, Panduro, MA, Reyna, A, Kar, R and Mandal, D (2018) Pattern synthesis and broad nulling optimization of STMLAA with EM simulation. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 31, .10.1002/jnm.2322CrossRefGoogle Scholar
Barton, DK (2010) History of monopulse radar in the US. IEEE Aerospace and Electronic Systems Magazine 25, c1c16.10.1109/MAES.2010.5464419CrossRefGoogle Scholar
Sherman, SM (1985) Monopulse principles and techniques. IEEE Antennas and Propagation Society Newsletter 27(5), .Google Scholar
Chakraborty, A, Ram, G and Mandal, D (2021) Pattern synthesis of timed antenna array with the exploitation and suppression of harmonic radiation. International Journal of Communication Systems 34, .10.1002/dac.4727CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2021) Time-modulated multibeam steered antenna array synthesis with optimally designed switching sequence. International Journal of Communication Systems 34, .10.1002/dac.4828CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2021) Multibeam steered pattern synthesis in time-modulated antenna array with controlled harmonic radiation. International Journal of RF and Microwave Computer-Aided Engineering 31, .10.1002/mmce.22597CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2020) Optimal pulse shifting in timed antenna array for simultaneous reduction of sidelobe and sideband level. IEEE Access 8, 131063131075.10.1109/ACCESS.2020.3010047CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2022) Time-modulated linear array synthesis with optimal time schemes for the simultaneous suppression of sidelobe and sidebands. International Journal of Microwave and Wireless Technologies 14, 768780.10.1017/S175907872100088XCrossRefGoogle Scholar
Bhattacharya, R, Saha, S and Bhattacharyya, TK (2017) Mutated IWO optimized 4-D array for femtocell cognitive radio. IEEE Antennas and Wireless Propagation Letters 16, 26142617.10.1109/LAWP.2017.2735999CrossRefGoogle Scholar
Chakraborty, A, Ram, G and Mandal, D (2019) Power pattern synthesis of a moving phase center time modulated antenna array using symmetrically and asymmetrically positioned time schemes. International Journal of RF and Microwave Computer-Aided Engineering 32(12), .Google Scholar
Rocca, P, Zhu, Q, Bekele, ET, Yang, S and Massa, A (2014) 4-D arrays as enabling technology for cognitive radio systems. IEEE Transactions on Antennas and Propagation 62, 11021116.10.1109/TAP.2013.2288109CrossRefGoogle Scholar
Poddar, S, Paul, P, Chakraborty, A, Ram, G and Mandal, D (2022) Design optimization of linear arrays and time‐modulated antenna arrays using meta‐heuristics approach. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 35(5), .10.1002/jnm.3010CrossRefGoogle Scholar
De Jong, K, Fogel, DB and Schwefel, H-P (2004) A history of evolutionary computation. In Baeck, Thomas, Fogel, DB and Michalewicz, Z (eds.), Handbook of Evolutionary Computation, 1st edn. Oxford, United Kingdom: Oxford University Press, .Google Scholar
Del Ser, J, Osaba, E, Molina, D, Yang, XS, Salcedo-Sanz, S, Camacho, D, Das, S, Suganthan, PN, Coello, CA and Herrera, F (2019) Bio-inspired computation: Where we stand and what’s next. Swarm and Evolutionary Computation 48, 220250.10.1016/j.swevo.2019.04.008CrossRefGoogle Scholar
Ram, G, Mandal, D, Kar, R and Ghoshal, SP (2014) Optimized hyper beamforming of receiving linear antenna arrays using Firefly algorithm. International Journal of Microwave and Wireless Technologies 6, 181194.10.1017/S175907871300086XCrossRefGoogle Scholar
Durmus, A and Kurban, R (2021) Optimum design of linear and circular antenna arrays using equilibrium optimization algorithm. International Journal of Microwave and Wireless Technologies 13, 986997.10.1017/S1759078720001774CrossRefGoogle Scholar
Rattan, M, Patterh, MS and Sohi, BS (2009) Optimization of circular antenna arrays of isotropic radiators using simulated annealing. International Journal of Microwave and Wireless Technologies 1, 441446.10.1017/S1759078709990687CrossRefGoogle Scholar
Das, A, Mandal, D and Kar, R (2021) An optimal circular antenna array design considering the mutual coupling employing ant lion optimization. International Journal of Microwave and Wireless Technologies 13, 164172.10.1017/S1759078720000914CrossRefGoogle Scholar
Dib, NI (2015) Synthesis of thinned planar antenna arrays using teaching-learning-based optimization. International Journal of Microwave and Wireless Technologies 7, 557563.10.1017/S1759078714000798CrossRefGoogle Scholar
Bogdan, G, Godziszewski, K and Yashchyshyn, Y (2020) Experimental investigation of beam-steering applied to 2 × 2 MIMO system with single receiving RF chain and time-modulated antenna array. International Journal of Microwave and Wireless Technologies 12, 504512.10.1017/S1759078720000744CrossRefGoogle Scholar
Dib, N and Sharaqa, A (2015) Design of non-uniform concentric circular antenna arrays with optimal sidelobe level reduction using biogeography-based optimization. International Journal of Microwave and Wireless Technologies 7, 161166.10.1017/S1759078714000610CrossRefGoogle Scholar
Ram, G, Mandal, D, Kar, R and Ghoshal, SP (2017) Directivity improvement and optimal far field pattern of time modulated concentric circular antenna array using hybrid evolutionary algorithms. International Journal of Microwave and Wireless Technologies 9, 177190.10.1017/S1759078715001075CrossRefGoogle Scholar
Misra, B and Mahanti, GK (2022) Meta-heuristic optimization algorithms for synthesis of reconfigurable hexagonal array antenna in two principle vertical planes. International Journal of Microwave and Wireless Technologies 14, 158165.10.1017/S1759078721000337CrossRefGoogle Scholar
Neri, F and Cotta, C (2012) Memetic algorithms and memetic computing optimization: A literature review. Swarm and Evolutionary Computation 2, 114.10.1016/j.swevo.2011.11.003CrossRefGoogle Scholar
Weile, DS and Michielssen, E (1997) Genetic algorithm optimization applied to electromagnetics: A review. IEEE Transactions on Antennas and Propagation 45, 343353.10.1109/8.558650CrossRefGoogle Scholar
Zhang, X, Lin, M, Zhang, X and Li, Y (2019) The design of microstrip array antenna and its optimization by a memetic method. IEEE Access 7, 9643496443.10.1109/ACCESS.2019.2929557CrossRefGoogle Scholar
Li, D, Qi, L and Roshchina, V (2008) A new class of quasi-Newton updating formulas. Optimization Methods & Software 23, 237249.10.1080/10556780701646360CrossRefGoogle Scholar
Zhou, W and Zhang, L (2020) A modified Broyden-like quasi-Newton method for nonlinear equations. Journal of Computational and Applied Mathematics 372, .10.1016/j.cam.2020.112744CrossRefGoogle Scholar
Fang, X, Ni, Q and Zeng, M (2018) A modified quasi-Newton method for nonlinear equations. Journal of Computational and Applied Mathematics 328, 4458.10.1016/j.cam.2017.06.024CrossRefGoogle Scholar
Krishna Chaitanya, R, Raju, GSN, Raju, KVSN and Mallikarjuna Rao, P (2022) Antenna pattern synthesis using the quasi Newton method, firefly and particle swarm optimization techniques. IETE Journal of Research 68(2), 11481156.10.1080/03772063.2019.1643263CrossRefGoogle Scholar
Morabito, AF, Di Carlo, A, Di Donato, L, Isernia, T and Sorbello, G (2019) Extending spectral factorization to array pattern synthesis including sparseness, mutual coupling, and mounting-platform effects. IEEE Transactions on Antennas and Propagation 67, 45484559.10.1109/TAP.2019.2905977CrossRefGoogle Scholar
Palmeri, R, Isernia, T and Morabito, AF (2019) Diagnosis of planar arrays through phaseless measurements and sparsity promotion. IEEE Antennas and Wireless Propagation Letters 18, 12731277.10.1109/LAWP.2019.2914529CrossRefGoogle Scholar
Ram, G (2021) Multi-beam steered harmonic pattern synthesis in timed antenna array with optimized and pre-defined RF switching. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 34, .10.1002/jnm.2912CrossRefGoogle Scholar