Abstract
A novel and miniaturized 4 × 4 butler matrix (BM) is proposed in this work. This proposed butler matrix is designed with four 3 dB quadrature (90°) forward wave coupled line coupler (FWCC) and two 45° Schiffman phase shifter. This BM is designed at center frequency of 2.4 GHz using FR4 substrate. The crossover of this BM has been replaced with a 0 dB FWCC. The performances of all couplers have been improved with the help of defected ground structures (DGS). Two C-shape and one I-shape DGSs are etched at the ground plane of each coupler, and two C-shape and one dumbbell shape DGSs are etched at the ground plane of 0 dB crossover which enhance the performance of the BM. This proposed BM provides a maximum bandwidth of 120 MHz at each port and occupies a total area of 0.677λ0 (84.74 mm) × 0.612λ0 (76.56 mm).
Similar content being viewed by others
References
Cao Y, Chin K, Che W, Yang W, Li ES (2017) A compact 38 GHz multibeam antenna array with multifolded Butler Matrix for 5G applications. IEEE Antennas Wirel Propag Lett 16:2996–2999
Gandini E, Ettorre M, Sauleau R, Grbic A (2013) A lumped-element unit cell for beam-forming networks and its application to a miniaturized Butler Matrix. IEEE Trans Microw Theory Tech 61(4):1477–1487
Karamzadeh S, Kartal M (2016) Circularly polarized 1x4 square slot array antenna by utilizing compacted modified Butler matrix and branch line coupler. Int J RF Microw Comput Aided Eng 26(2):146–153
Kwang TKG, Gardner P (2001) 4 × 4 butler matrix beam forming network using novel reduced size branch-line coupler. In: 31st European microwave conference, pp 1–4. London
Lian J, Ban Y, Wu Y, Zhong L (2018) Miniaturized multibeam array antenna based on E-plane Butler Matrix for 5G application. In: 2018 IEEE international symposium on antennas and propagation & USNC/URSI national radio science meeting, Boston, MA, pp 1031–1032
Liang R, Zhang Y, Yan W, Wang J, Tong Y, Lin C, Chang Q (2018) A novel design of miniaturized Butler Matrix. In: 2018 IEEE 18th international conference on communication technology (ICCT)
Moody HJ (1964) The systematic design of the Butler Matrix. IEEE Trans Antennas Propag 12(6):786–788
Néron J-S, Delisle G-Y (2005) Microstrip EHF butler matrix design and realization. ETRIJournal 27(6):788–797
Pozar DM (2011) Microwave engineering, 4th edn. Wiley, New York
Rahim SKA, Muhammad NA, Rahman TA (2012) Beamforming networks using reduced size and cascaded Butler matrices. Wireless Pers Commun 63(4):765–784
Safia OA, Nedil M, Yagoub MCE, Yusuf W (2016) Optically transparent compact 4 × 4 Butler matrix for Wi-Fi applications. PIER Lett 58:119–124
Schiffman BM (1958) A new class of broad-band microwave 90-degree phase shifters. IRE Trans Microw Theory Tech 6(2):232–237
Staszek K, Gruszczynski S, Wincza K (2014) Broadband Butler matrices with the use of highpass LC sections as left-handed transmission lines. Radioengineering 23(1):236–243
Tseng C-H, Chen C-J, Chu T-H (2008) A low-cost 60-GHz switched-beam patch antenna array with Butler matrix network. IEEE Antennas Wirel Propag Lett 7:432–435
Wang CW, Ma TG, Yang CF (2007) A new planar artificial transmission line and its applications to a miniaturized Butler matrix. IEEE Trans Microw Theory Tech 55(12):2792–2801
Wu F, Sun L (2017) Miniaturization of 4 × 4 Butler matrix using high slow-wave factor structure. In: IEEE 2nd advanced information technology, electronic and automation control conference (IAEAC), Chongqing, pp 1772–1775
Xu H-X, Wang G-M, Wang X (2011) Compact Butler matrix using composite right/left handed transmission line. Electron Lett 47(19):1081
Zhai Y, Fang X, Ding K, He F (2014) Miniaturization design for 8 × 8 Butler Matrix based on back-to-back bilayer microstrip. Int J Antennas Propag 2014:1–7
Zulkifli FY, Chasanah N, Rahardjo ET (2015) Design of Butler matrix integrated with antenna array for beam forming. In: 2015 International symposium on antennas and propagation (ISAP), Hobart, TAS, pp. 1–4
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Deb, P.K., Moyra, T. & Bhattacharyya, B.K. Designing of Miniaturized 4 × 4 Butler Matrix Using Coupled Line Coupler and Schiffman Phase Shifter. Iran J Sci Technol Trans Electr Eng 45, 259–268 (2021). https://doi.org/10.1007/s40998-020-00350-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40998-020-00350-4