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Time-modulated array antennas – theory, techniques, and applications

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Pages 1503-1531 | Received 13 Apr 2019, Accepted 29 May 2019, Published online: 10 Jun 2019

References

  • Shanks HE, Bickmore RW. Four-dimensional electromagnetic radiators. Canad J Phys. 1959;37:263–275.
  • Bickmore RW. Time versus space in antenna theory. In: RC Hansen, editor. Microwave scanning antennas. Vol. III. New York: Academic; 1966.
  • Franceschetti G, Tatoian J, Gibbs G. Timed arrays in a nutshell. IEEE Trans Antennas Propag. 2005;53(12):4073–4082.
  • Holland SS, Vouvakis MN. The planar ultrawideband modular antenna (PUMA) array. IEEE Trans Antennas Propag. 2012;60(1):130–140.
  • Franceschetti G, Lanari R. Synthetic aperture radar processing. Boca Raton, FL: CRC Press; 1999.
  • Haupt RL. Timed array – wideband and time varying antenna arrays. Hoboken, NJ: Wiley; 2015.
  • Haupt RL. Antenna arrays in the time domain: an introduction to timed arrays. IEEE Antennas Propag Mag. 2017;59(3):33–41.
  • Hatcher BR. General time-modulated antenna arrays. Int. Symp. Antennas Propag.; 1966 Dec. 5–7; Palo Alto, CA. p. 75–78
  • Shanks HE. A new technique for electronic scanning. IRE Trans Antennas Propag. 1961;9:162–166.
  • Kummer WH, Villeneuve AT, Fong TS, et al. Ultra-low sidelobes from time-modulated arrays. IEEE Trans Antennas Propag. 1963;11:633–639.
  • Johnson MA. Phased-array beam steering by multiplex sampling. Proc IEEE. 1968;56(11):1801–1811.
  • Dixon RS. Argus: a next-generation omnidirectional powerful radiotelescope. Acta Astronaut. 1995;35(9–11):745–752.
  • Brégains JS, Fondevila J, Franceshetti G, et al. Signal radiation and power losses of time-modulated arrays. IEEE Trans Antennas Propag.. 2008;56(6):1799–1804.
  • Herd JS, Conwey MD. The evolution to modern phased array architectures. Proc IEEE. 2016;104(3):519–529.
  • Rocca P, Oliveri G, Mailloux RJ, et al. Unconventional phased array architectures and design methodologies – a review. Proc IEEE. 2016;104(3):544–560.
  • Rocca P, Benedetti M, Donelli M, et al. Evolutionary optimization as applied to inverse scattering problems. Inv Prob. 2009;24:1–41.
  • Rocca P, Oliveri G, Massa A. Differential evolution as applied to electromagnetics. IEEE Antennas Propag Mag. 2011;53(1):38–49.
  • Rocca P, Haupt RL. Biologically inspired optimization of antenna arrays. Appl Comput Electromagn Soc J. 2014;29(12):1047–1059.
  • Zhang L, Chen XQ, Liu S, et al. Space-time-coding digital metasurfaces. Nat Commun. 2018;9:1–11. Article no. 4334.
  • Yang S, Nie Z. A review of the four dimensional antenna arrays. J Electron Sci Technol China. 2006;4(3):193–201.
  • Wang WQ, So HC, Farina A. An overview on time/frequency modulated array processing. IEEE J Sel Topics Signal Process. 2017;11(2):228–246.
  • Fondevila J, Brégains JC, Ares F, et al. Optimizing uniformly excited linear arrays through time modulation. IEEE Antennas Wireless Propag Lett. 2004;3:298–301.
  • Zhu Q, Yang S, Yao R, et al. Unified time- and frequency-domain study on time-modulated arrays. IEEE Trans Antennas Propag. 2013;61(6):3069–3076.
  • Poli L, Rocca P, Manica L, et al. Pattern synthesis in time-modulated linear arrays through pulse shifting. IET Microw Antennas Propag. 2010;4(9):1157–1164.
  • Yang S, B.Gan Y, Qing A, et al. Design of a uniform amplitude time modulated linear array with optimized time sequences. IEEE Trans Antennas Propag. 2005;53(7):2337–2339.
  • Zhu Q, Yang S, Zheng L, et al. Design of a low sidelobe time modulated linear array with uniform amplitude and sub-sectional optimized time steps. IEEE Trans Antennas Propag. 2012;60(9):4436–4439.
  • Poli L, Moriyama T, Rocca P. Pulse splitting for harmonic beamforming in time-modulated linear arrays. Int J Antennas Propag. 2014;2014:1–9. article ID 797590.
  • Bekele ET, Poli L, Rocca P, et al. Pulse-shaping strategy for time modulated arrays – analysis and design. IEEE Trans Antennas Propag. 2013;61(7):3525–3537.
  • Maneiro-Catoira R, Bregains J, Garcia-Naya J, et al. Enhanced time-modulated arrays for harmonic beamforming. IEEE J Sel Topics Signal Process. 2017;11(2):259–270.
  • Poli L, Rocca P, Oliveri G, et al. Advanced pulse sequence design in time-modulated arrays for cognitive radio. IEEE Antennas Wireless Propag Lett. 2018;17(5):898–902.
  • Aksoy E, Afacan E. Calculation of sideband power radiation in time-modulated arrays with asymmetrically positioned pulses. IEEE Antennas Wireless Propag Lett. 2012;11:133–136.
  • Aksoy E. Calculation of sideband radiations in time-modulated volumetric arrays and generalization of the power equation. IEEE Trans Antennas Propag. 2014;62(9):4856–4860.
  • Yang S, Gan YB, Qing A, et al. Evaluation of directivity and gain for time-modulated linear antenna arrays. Microw Opt Tech Lett. 2004;42(2):167–171.
  • Zhu Q, Yang S, Yao R, et al. Gain improvement in time-modulated linear arrays using SPDT switches. IEEE Antennas Wireless Propag Lett. 2012;11:994–997.
  • Yang S, Nie Z. Time modulated planar arrays with square lattices and circular boundaries. Int J Numer Model. 2005;18:469–480.
  • Poli L, Rocca P, Oliveri G, et al. Failure correction in time-modulated linear arrays. IET Radar Sonar Navig. 2014;8(3):195–201.
  • Yang S, Gan YB, Qing A. Sideband suppression in time-modulated linear arrays by the differential evolution algorithm. IEEE Antennas Wireless Propag Lett. 2002;1:173–175.
  • Yang S, Gan YB, Tan PK. A new technique for power-pattern synthesis in time-modulated linear arrays. IEEE Antennas Wireless Propag Lett. 2003;2:285–287.
  • Mandal SK, Mahanti GK, Ghatak R. Differential evolution algorithm for optimizing the conflicting parameters in time-modulated linear array antennas. Progress Electromagn Res B. 2013;51:101–118.
  • Mandal SK, Mahanti GK, Ghatak R. A single objective approach for suppressing sideband radiations of ultra-low side lobe patterns in time-modulated antenna arrays. J Electromagn Waves Appl. 2013;27(14):1767–1775.
  • Huang M, Yang S, Li G, et al. Synthesis of low and equal-ripple sidelobe patterns in time-modulated circular antenna arrays. J Infrared Milli Terahz Waves. 2009;30:802–812.
  • Zheng L, Yang S, Nie Z. Pattern synthesis with specified broad nulls in time-modulated circular antenna arrays. Electromagnetics. 2011;31:355–367.
  • Zheng L, Yang S, Zhu Q, et al. A projection-based approach for ultra-low side-lobe pattern synthesis in time-modulated spherical arrays. Electromagnetics. 2012;32(2):61–76.
  • Chen Y, Yang S, Nie Z. Synthesis of optimal sum and difference patterns from time modulated hexagonal planar arrays. Int J Infrared Milli Waves. 2008;29:933–945.
  • Chen Y, Yang S, Nie Z. Synthesis of satellite footprint patterns from time-modulated planar arrays with very low dynamic range ratios. Int J Numer Model. 2008;21:493–506.
  • Ni D, Yang S, Nie Z. Efficient synthesis of irregularly shaped radiation patterns based on four-dimensional planar arrays and post-processing. Electromagnetics. 2015;35(7):429–442.
  • Chen Y, Yang S, Li G, et al. Adaptive nulling with time-modulated antenna arrays using a hybrid differential evolution strategy. Electromagnetics. 2010;30(7):574–588.
  • Yang S, Chen Y, Nie Z. Multiple patterns from time-modulated linear antenna arrays. Electromagnetics. 2008;28:562–571.
  • Mandal SK, Mahanti GK, Ghatak R, et al. Design of digitally controlled multiple-pattern time-modulated antenna arrays with phase-only difference. Ann Telecommun. 2014;70(1–2):29–35.
  • Yang S. Study of low sidelobe time modulated linear antenna arrays at millimeter-waves. Int J Infrared Milli Waves. 2005;26(3):443–456.
  • Yang S, Nie Z. Millimeter-wave low sidelobe time modulated linear arrays with uniform amplitude excitations. Int J Infrared Milli Waves. 2007;28:531–540.
  • Zhu Q, Yang S, Zheng L, et al. A pattern synthesis approach in four-dimensional antenna arrays with practical element models. J Electromagn Waves Appl. 2011;25(16):2274–2286.
  • Yang H, Yang S, Ni D, et al. Pattern synthesis approach for circularly polarised four-dimensional antenna arrays. IET Microw Antennas Propag. 2015;9(10):1004–1008.
  • Yang S, Nie Z. Mutual coupling compensation in time modulated linear antenna arrays. IEEE Trans Antennas Propag. 2005;53:4182–4185.
  • Li G, Yang S, Wang G, et al. Mutual-coupling compensation in time-modulated antenna arrays for flat-top pattern synthesis. Electromagnetics. 2009;29:499–507.
  • Zhu Q, Yang S, Yao R, et al. Design of a low sidelobe 4D planar array including mutual coupling. Progress Electromagn Res M. 2013;31:103–116.
  • Aksoy E, Afacan E. Thinned nonuniform amplitude time-modulated linear arrays. IEEE Antennas Wireless Propag Lett. 2010;9:514–517.
  • Aksoy E, Afacan E. An inequality for the calculation of relative maximum sideband level in time-modulated linear and planar arrays. IEEE Trans Antennas Propag. 2014;62(6):3392–3397.
  • Aksoy E, Afacan E. A comparative study on sideband optimization in time-modulated arrays. Int J Antennas Propag. 2014;2014:1–14.
  • Manica L, Rocca P, Poli L, et al. Almost time-independent performance in time-modulated linear arrays. IEEE Antennas Wireless Propag Lett. 2009;8:843–846.
  • Rocca P, Poli L, Oliveri G, et al. Synthesis of time-modulated planar array with controlled harmonic radiations. J Electromagn Waves Appl. 2010;24(4):827–838.
  • Poli L, Rocca P, Massa A. Sideband radiation reduction exploiting pattern multiplication in directive time-modulated linear arrays. IET Microw Antennas Propag. 2012;6(2):214–222.
  • Li G, Yang S, Huang M, et al. Sidelobe suppression in time modulated linear arrays with unequal element spacing. J Electromagn Waves Appl. 2010;24(56):775–783.
  • Rocca P, D'Urso M, Poli L. An iterative approach for the synthesis of optimized sparse time-modulated linear arrays. Progress Electromagn Res B. 2013;55:365–382.
  • He C, Yu H, Liang X, et al. Sideband radiation level suppression in time-modulated array by nonuniform period modulation. IEEE Antennas Wireless Propag Lett. 2015;14:606–609.
  • Guo J, Yang S, Chen Y, et al. Efficient sideband suppression in 4D antenna arrays through multiple time modulation frequencies. IEEE Trans Antennas Propag. 2017;65(12):7063–7072.
  • Tong Y, Tennant A. Sideband level suppression in time-modulated linear arrays using modified switching sequences and fixed bandwidth elements. IET Electron Lett. 2012;48(1).
  • Yang J, Li W, Shi X. Phase modulation technique for four-dimensional arrays. IEEE Antennas Wireless Propag Lett. 2014;13:1393–1396.
  • Sun C, Yang S, Chen Y, et al. An improved phase modulation technique based on four-dimensional arrays. IEEE Antennas Wireless Propag Lett. 2017;16:1175–1178.
  • Ruchi R, Nandi A, Basu B. Design of beam forming network for time-modulated linear array with artificial bees colony algorithm. Int J Numer Model. 2015;28(5):508–521.
  • Mandal SK, Mahanti GK, Ghatak R. Design of a time-modulator to synthesize different patterns in time-modulated antenna arrays. J Electromagn Waves Appl. 2014;28(9):1118–1130.
  • Yang J, Li WT, Shi XW, et al. A hybrid ABC-DE algorithm and its application for time-modulated arrays pattern synthesis. IEEE Trans Antennas Propag. 2013;61(11):5485–5495.
  • Pal S, Das S, Basak A. Design of time-modulated linear arrays with a multi-objective optimization approach. Progress Electromagn Res B. 2010;23:83–107.
  • Chen Y, Yang S, Nie Z. Improving conflicting specifications of time-modulated antenna arrays by using a multiobjective evolutionary algorithm. Int J Numer Model. 2012;25(3):205–215.
  • Ram G, Mandal D, Kar R, et al. Directivity and SLL optimization of time modulated concentric antenna array synthesis: an hybrid evolutionary approach. Int J Mach Learn Cyber. 2015;6(5):819–835.
  • Ram G, Mandal D, Kar R, et al. Directivity improvement and optimal far field pattern of time modulated concentric circular antenna array using hybrid evolutionary algorithms. Int J Microw Wirel T. 2017;9(1):177–190.
  • Ram G, Mandal D, Kar R, et al. Improvement in various radiation characteristics of time modulated arrays using evolutionary algorithms. J Exp Theor Artif Intell. 2016;28(1–2):151–180.
  • Ram G, Mandal D, Kar R, et al. Pencil beam pattern synthesis of time-modulated circular antenna array using PSO with aging leader and challenger. J Electromagn Waves Appl. 2015;29(12):1610–1629.
  • Ram G, Mandal D, Kar R, et al. Cat swarm optimization as applied to time-modulated concentric circular antenna array: analysis and comparison with other stochastic optimization method. IEEE Trans Antennas Propag. 2015;63(9):4180–4183.
  • Ram G, Mandal D, Ghoshal SP, et al. Null placement in time-modulated linear antenna arrays of dipole element. IETE J Res. 2017;63(3):403–412.
  • Ram G, Mandal D, Ghoshal SP, et al. Analysis for optimal pattern synthesis of time modulated concentric circular antenna array using memetic firefly algorithm. Memetic Computing. 2016;8(1):63–82.
  • Liu C, Yang S, Zhu Q, et al. Efficient synthesis of 4D antenna arrays using a bitwise evolutionary genetic algorithm. Int J Numer Model. 2015;28(3):310–320.
  • Li X, Li W-T, Shi X-W, et al. Synthesis of antenna arrays with an efficient multiobjective differential evolution algorithm. Int J RF Microw Comput-aided Eng. 2014;24(2):161–169.
  • Liang W, Wu Z, Zhang L. Multiobjective optimization design of time-modulated concentric circular ring arrays. Int J Antennas Propag. 2018;2018:1–8.
  • Mangoud MA, Elragal HM, Alshara MT. Design of time modulated concentric circular and concentric hexagonal antenna array using hybrid enhanced particle swarm optimisation and differential evolution algorithm. IET Microw Antennas Propag. 2014;8(9):657–665.
  • Yang J, Li W, Shi X. Pattern synthesis of time-modulated conformal arrays by an improved differential evolution algorithm. Int J RF Microw Comput-aided Eng. 2013;24(6):697–705.
  • Li W, Hei Y, Yang J, et al. 3D pattern synthesis of time-modulated conformal arrays with a multiobjective optimization approach. Int J Antennas Propag. 2014;2014:1–12.
  • Li W, Hei Y, Yang J, et al. Optimisation of non-uniform time-modulated conformal arrays using an improved non-dominated sorting genetic-II algorithm. IET Microw Antennas Propag. 2014;8(4):287–294.
  • Ram G, Mandal D, Kar R, et al. Simultaneous improvement of array factor directivity and side lobe level of time-modulated linear antenna arrays using opposition-based harmony search. Int J Numer Model. 2017;30(34):e2086.
  • Poli L, Rocca P, Manica L, et al. Handling sideband radiations in time-modulated arrays through particle swarm optimization. IEEE Trans Antennas Propag. 2010;58(4):1408–1411.
  • Poli L, Rocca P, Manica L, et al. Time modulated planar arrays – analysis and optimisation of the sideband radiations. IET Microw Antennas Propag. 2010;4(9):1165–1171.
  • Rocca P, Poli L, Oliveri G, et al. Synthesis of sub-arrayed time modulated linear arrays through a multi-stage approach. IEEE Trans Antennas Propag. 2011;59(9):3246–3254.
  • Rocca P, Poli L, Manica L, et al. Synthesis of monopulse time-modulated planar arrays with controlled sideband radiation. IET Radar Sonar Navig. 2012;6(6):432–442.
  • Poli L, Rocca P, Oliveri G, et al. Adaptive nulling in time-modulated linear arrays with minimum power losses. IET Microw Antennas Propag. 2011;5(2):157–166.
  • Rocca P, Poli L, Oliveri G, et al. Adaptive nulling in time-varying scenarios through time-modulated linear arrays. IEEE Antennas Wireless Propag Lett. 2012;11:101–104.
  • Li G, Yang S, Chen Y, et al. A novel electronic beam steering technique time modulated antenna arrays. Progress Electromagn Res. 2009;391–405.
  • Li G, Yang S, Nie Z. Direction of arrival estimation in time modulated linear arrays with unidirectional phase center motion. IEEE Trans Antennas Propag. 2010;58(4):1105–1111.
  • Tennant A, Chambers B. A two-element time-modulated array with direction-finding properties. IEEE Antennas Wireless Propag Lett. 2007;6:64–65.
  • Tennant A. Experimental two-element time-modulated direction finding array. IEEE Trans Antennas Propag. 2010;58(3):986–988.
  • Barott WC, Himed B. Time-modulated array pattern for sidelobe blanking in spectrometry and radar. IEEE Antennas Wireless Propag Lett. 2014;13:1015–1018.
  • Barott WC, Fucharoen S. Experimental time-modulated beamformer for interference mitigation in a radio spectrometer. IEEE J Sel Topics Signal Process. 2017;11(2):271–281.
  • Zhu Q, Yang S, Rocca P, et al. Signal-to-noise ratio and time-modulated signal spectrum in four-dimensional antenna arrays. IET Microw Antennas Propag. 2015;9(3):264–270.
  • Zhu Q, Yang S, Yao R, et al. Directional modulation based on 4-D antenna arrays. IEEE Trans Antennas Propag. 2014;62(2):621–628.
  • Guo J, Poli L, Hannan MA, et al. Time-modulated arrays for physical layer secure communications: optimization-based synthesis and experimental assessment. IEEE Trans Antennas Propag. 2018;66(12):6939–6949.
  • Tennant A, Allen B. Generation of OAM radio waves using circular time-switched array antenna. IET Electron Lett. 2012;48(21):1365–1366.
  • Rocca P, Zhu Q, Bekele ET, et al. 4-D arrays as enabling technology for cognitive radio systems. IEEE Trans Antennas Propag. 2014;62(3):1102–1116.
  • Maneiro-Catoira R, Bregains JC, Garcia-Naya JA, et al. On the feasibility of time-modulated arrays for digital linear modulations: a theoretical analysis. IEEE Trans Antennas Propag. 2014;62(12):6114–6122.
  • Maneiro-Catoira R, Bregains JC, Garcia-Naya JA, et al. Performance analysis of time-modulated arrays for the angle diversity reception of digital linear modulated signals. IEEE J Sel Topics Signal Process. 2017;11(2):247–258.
  • Masotti D, Costanzo A, Rizzoli V. Smart wireless power transfer operated by time-modulated arrays via a two-step procedure. Int J Antennas Propag. 2015;2015:1–11.
  • Masotti D, Costanzo A, Del Prete M, et al. Time-modulation of linear arrays for real-time reconfigurable wireless power transmission. IEEE Trans Microw Theory Tech. 2016;64(2):331–342.
  • Zhu X, Yang S, Nie Z. Full-wave simulation of time modulated linear antenna arrays in frequency domain. IEEE Trans Antennas Propag. 2008;56(5):1479–1482.
  • Yao A, Wu W, Fang D. Efficient and effective full-wave analysis of the instantaneous and average behaviors of time-modulated arrays. IEEE Trans Antennas Propag. 2015;63(7):2902–2913.
  • Fondevila J, Brégains JC, Ares F, et al. Application of time modulation in the synthesis of sum and difference patterns by using linear arrays. Microw Opt Technol Lett. 2006;48(5):829–832.
  • Rocca P, Manica L, Poli L, et al. Synthesis of compromise sum-difference arrays through time-modulation. IET Radar Sonar Navig. 2009;3(6):630–637.
  • Chen Y, Yang S, Nie Z. Design of a novel monopulse antenna system using the time-modulated antenna arrays. Int J RF Microw Comput-aided Eng. 2010;20(2):163–169.
  • Poli L, Rocca P, Oliveri G, et al. Harmonic beamforming in time-modulated linear arrays. IEEE Trans Antennas Propag. 2011;59(7):2538–2545.
  • Basu B, Nandi A. Monopulse time-modulated antenna array using iterative Fourier technique. Int J Numer Model. 2016;29(5):967–981.
  • Zhu Q, Yang S, Yao R, et al. Direction finding using multiple sum and difference patterns in 4D antenna arrays. Int J Antennas Propag. 2014;2014:1–12.
  • Ni D, Yang S, Chen Y, et al. Direction finding based on TMAs with reconfigurable angle-searching range and bearing accuracy. IET Electron Lett. 2017;53(3):130–132.
  • Li G, Yang S, Nie Z. A study on the application of time modulated antenna arrays to airborne pulsed doppler radar. IEEE Trans Antennas Propag. 2009;57(5):1578–1582.
  • Ni D, Yang S, Chen Y, et al. A study on the application of subarrayed time-modulated arrays to MIMO radar. IEEE Antennas Wireless Propag Lett. 2017;16:1171–1174.
  • Li G, Yang S, Zhao Z, et al. A study of AM and FM signal reception of time modulated linear antenna arrays. Progress Electromagn Res Lett. 2009;7:171–181.
  • Maneiro-Catoira R, Brégains J, Garcia-Naya JA, et al. Impact of time-modulated arrays on the BER of linear digital modulations. J Electromagn Waves Appl. 2015;29(16):2147–2154.
  • Guo J, Yang S, Qu S-W, et al. A study on linear frequency modulation signal transmission by 4-D antenna arrays. IEEE Trans Antennas Propag. 2015;63(12):5409–5416.
  • Li G, Yang S, Chen Y, et al. A hybrid analog-digital adaptive beamforming in time-modulated linear arrays. Electromagnetics. 2010;30(4):356–364.
  • Tong Y, Tennant A. A two-channel time modulated linear array with adaptive beamforming. IEEE Trans Antennas Propag. 2012;60(1):141–147.
  • He C, Liang X, Zhou B, et al. Space-division multiple access based on time-modulated array. IEEE Antennas Wireless Propag Lett. 2015;14:610–613.
  • Bogdan G, Yashchyshyn Y, Jarzynka M. Time-modulated antenna array with lossless switching network. IEEE Antennas Wireless Propag Lett. 2016;15:1827–1830.
  • Yashchyshyn Y, Derzakowski K, Bajurko PR, et al.Time-modulated reconfigurable antenna based on integrated S-PIN diodes for mm-wave communication systems. IEEE Trans Antennas Propag. 2015;63(9):4121–4131.
  • Wang Y, Tennant A. Experimental time-modulated reflector array. IEEE Trans Antennas Propag. 2014;62(12):6533–6536.
  • Yao A, Wu W, Fang D. Single-sideband time-modulated phased array. IEEE Trans Antennas Propag. 2015;63(5):1957–1968.
  • Yao A, Wu W, Fang D. Study on reconfigurable coaperture antenna arrays based on time-modulation and retrodirective techniques. IEEE Trans Antennas Propag. 2016;64(5):1713–1724.
  • Maneiro-Catoira R, Brégains J, Garcia-Naya JA, et al. Time-modulated multibeam phased arrays with periodic Nyquist pulses. IEEE Antennas Wireless Propag Lett. 2018;17(12):2508–2512.
  • Maneiro-Catoira R, Brégains J, Garcia-Naya JA, et al. Dual-signal transmission using RF precoding and analog beamforming with TMAs. IEEE Commun Lett. 2018;22(8):1640–1643.

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