5G beam-steering 2×2 butler matrix with slotted waveguide antenna array

TELKOMNIKA, Vol.17, No.4, August 2019, pp.1656~1662
ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018
DOI: 10.12928/TELKOMNIKA.v17i4.12777  1656
Received August 19, 2018; Revised January 2, 2019; Accepted March 25, 2019
5G beam-steering 2×2 butler matrix
with slotted waveguide antenna array
Noorlindawaty Md. Jizat*1
, Nazihah Ahmad2
, Zubaida Yusoff3
,
Nuramirah Mohd Nor4
, Mursyidul Idzam Sabran5
1,2,3
Faculty of Engineering, Multimedia University, Persiaran Multimedia, 63100,
Cyberjaya, Selangor, Malaysia
4,5
Mindmatics Sdn.Bhd, 43000 Kajang, Selangor, Malaysia
*Corresponding author, e-mail: noorlindawaty.jizat@mmu.edu.my
Abstract
In this research paper, substrate integrated waveguide (SIW) was proposed as a technique by
realizing bilateral edge walls to produce a compact 5G beam-steering antenna at 24 GHz. The beam
forming network is produced using SIW directional coupler perform as 2×2 Butler Matrix (BM) fed with SIW
slotted waveguide antenna array. The output signal is steered from -29 degrees and +29 degrees when
the signal is fed to the respective input ports. If one of the input ports is fed, the signal is evenly distributed
between the adjacent output ports with 90 degree constant phase shift. The compact size of directional
coupler was designed by longitude slots on the surface of SIW substrate with bandwith of 16.85% at the
operating frequency. The proposed antenna produce gain of 6.34 dB at operating frequency and the
promising outcome of the beam steering make proposed design suitable for 5G communications especially
with tracking capabilities.
Keywords: 2×2 butler matrix, 5G, directional coupler, slotted waveguide antenna array,
substrate integrated waveguide
Copyright © 2019 Universitas Ahmad Dahlan. All rights reserved.
1. Introduction
Antenna with tracking capabilities became tremendous importance in many applications
especially for 5G wireless connectivity. Scaling to a higher frequency operation contribute to
smaller wavelength, in which limiting the applications especially using microstrip device due to
very tight tolerance. As a solution, Substrate Integrated Waveguide (SIW) techniques are
preferred especially to be used in beamforming and Multiple-Input Multiple-Output (MIMO) 5G
system applications [1-3]. Beamforming identified as the most efficient data-delivery to a desired
user, and it automatically reduces interference to nearby users. In addition, it can assist MIMO
arrays by the usage of the spectrum around them and with base stations arrayed with hundreds
of individual antennas in beam tracking capabilities [4-6]. One of the preferred antenna include
slotted waveguide antenna due to small size, low cost, high gain and easy integration in the
front end circuits. In 5G band, series-fed method has been widely adopted in simple feeding
network antenna due to low insertion loss and relatively high gain [7, 8].
Among the new generation of high frequency integrated circuits, substrate integrated
waveguide (SIW) technology is introduced in the beamformer Butler Matrix which consist of
rectangular dielectric-filled waveguide synthesized with a planar substrate with arrays.
Waveguide microstrip series fed patch antenna slot arrays are integrated with the beamformer
for low sidelobe applications due to their high gain, high efficiency, and low radiation loss to both
planar transmission line and non planar waveguide [9]. Butler Matrix has the ability to form
orthogonal beams, lossless property and high beam crossover level [10-13]. Due to these
extraordinary properties, four ports beam-steering Butler Matrix with slotted waveguide antenna
array are identified as a breakthrough for 5G communication networks as they can enable beam
switching to the targeted users while suppressing unwanted signal [14, 15] without having to
compromise in the size limitation and diversify application.
Prior to this paper and to the authors’ knowledge, the approach presented in this work
has not been investigated earlier. In this paper, two ports substrate integrated waveguide
directional coupler is developed into 2×2 Butler Matrix towards high performance, low cost and
simplified 5G multibeam array antenna at 24 GHz. In half wavelength, the slotted waveguide

TELKOMNIKA ISSN: 1693-6930 
5G beam-steering 2×2 butler matrix with slotted waveguide... (Noorlindawaty Md.Jizat)
1657
antenna array has two slot elements that are longitudinally staggered with respect to one
another which consecutively fed by 2×2 Butler Matrix without having to utilize phase shifter and
crossover. Using the proposed approach design, the 2×2 Butler matrix beamforming antenna
network simulation presented 90±5° output phase difference thus exhibit two beam direction
steerable radiations at 30±1°.
2. Beam Steering Antenna
2.1. SIW Design
Substrate integrated waveguide is made of a rectangular waveguide with arrays of hole
vias and has ability to create bilateral side walls due to transition within structures. These vias
act as walls of the waveguide supporting current flow, thus allowing for waveguide mode
propagation. Substrate integrated waveguide is preferred in high frequency design due to high
density integration applications with low loss. Figure 1 illustrates the SIW topology with via hole
of diameter, d, horizontal spacing between two holes pitch, p and vertical spacing between
holes, a. In order to provide vertical current paths, via hole is shorted to both planes. The
propagating modes of SIW can be analogous as in rectangular waveguide [16-18] since the
vertical metal walls are replaced by via holes. With the optimized dimensions, an equivalent
waveguide of dimension equal to a can provide a promising operational bandwidth at 24 GHz.
Figure 1. SIW topology
In (1-3), resonance frequency, fr is determined and the size of SIW cavity is optimized in
order to support TE10 mode as discussed in [19]. In analysis, weff and leff represent width and
length of the SIW cavity dimesion. In order to minimize the leakage loss between nearby hole,
pitch, p needs to be kept small based on (4)-(5).
𝑓𝑟 =
𝑐
2𝜋√ 𝜇 𝑟 𝜀 𝑟
√(
𝜋
𝑤 𝑒𝑓𝑓
)
2
+ (
𝜋
𝑙 𝑓𝑓
)
2
(1)
𝑤𝑒𝑓𝑓 = 𝑤 −
𝑑2
0.95 𝑝
(2)
𝑙 𝑒𝑓𝑓 = 𝑙 −
𝑑2
0.95 𝑝
(3)
𝑑 <
𝜆 𝑔
5
(4)
𝑝 ≤ 2𝑑 (5)
2.2. SIW Directional Coupler
Directional coupler is a four port microwave network which delivers power from any port
to the other three output port. SIW directional coupler support TE10 mode where the signal fed to
the coupler transfer power from input port to the other output ports. Due to quarter wavelength
transmission, the reference signal line lead phase shift of the coupler signal with 90° phase.
The design of proposed coupler is shown in Figure 2 (a) with two perpendicular rectangular
waveguide while Figure 2 (b) illustrates the signal flow through SIW via hole when signal was
fed from input 1 with value of 119 A/m. From the analysis, aperture dimension width, Waperture

 ISSN: 1693-6930
TELKOMNIKA Vol. 17, No. 4, August 2019: 1656-1662
1658
controls the coupling value to be ±3 dB. 90° directional coupler is realized by two pairs of 50 Ω
and 35.35 Ω quarter wavelength microstrip line. When the signal fed at Port 1, the signal equally
distributed to port 2 and port 3, while port 4 is isolated since there is no power reaching it.
Line impedance between these outputs port is matched at 50 Ω to maximize the power
transfer and minimize the reflection from the load. With all ports matched, power entering port 1
is evenly divided between ports 2 and 3, with a 90° phase shift between these outputs [20]. This
scattering matrix indicates that the 90 degree hybrid has the property of delivering two output
signals with same magnitude and implies that it has a high degree of symmetry. The signal
arrive at Port 4 is out of phase, thus no power is coupled to this port. The coupling factor can be
determined from (6) where the Waperture dimension, optimized to be 4 mm, while pitch, p is given
as 1 mm and diameter, d of air hole is 0.4 mm.
𝐶𝑜𝑢𝑝𝑙𝑖𝑛𝑔 = 10 log
𝑃1
𝑃3
= −20 log
1
√2
𝑑𝐵 (6)
(a) (b)
Figure 2. Configuration of (a) SIW directional coupler (b) amplitude of the surface current
2.3. 2×2 Butler Matrix using Directional Coupler
The Butler Matrix has N inputs×N outputs (N=2n) of where n is the matrix order.
The switched beam Butler Matrix system has the ability to increase the channel capacity limited
by interference. As shown in Figure 3, 2×2 Butler matrix input beam ports equals to the number
of output elements ports. When the signal is fed in the input port, two output signals with the
same magnitude but a phase shift of ± 90° will be generated. When RF signal excites each of
the input ports, signal is distributed equally with a constant phase between them.
Figure 3. 2×2 Butler matrix schematic diagram
The proposed system has the element of transmitting signals at output ports when the
signal is fed at the input ports. The separation between the SIW antenna arrays is controlled to
achieve the desired beams and reduced Sidelobe Level (SL). N x N Butler Matrix can generate
output signals with equal power and a section phase shift between adjacent output ports, δi [21].
𝛿𝑖 = 2𝜋𝑖/𝑁 (7)

1659
where i=± 1/2, ± 3/2, ± 5/2... ± (N-1) /2.
The phase shifts between two different adjacent ports, δi of the SIW directional coupler
can be obtained according to (7) with N represent the number of input ports. As clearly
tabulated, phase difference between outputs port are ± 90º as listed in Table 1.
Table 1. Phase Difference between Input and Output ports
Port 1 Port 4
Port 2 0° 0°
Port 3 90° -90°
Phase shift between
adjacent port
+ 90° - 90°
2.4. SIW Slotted Array Antenna with SIW Directional Coupler
Slotted waveguide series fed antenna array is used as the radiating patch to provide
beamforming networks to enable communication and tracking functions. This proposed antenna
array with λ0 /2 spacing at 24 GHz was integrated with the SIW Butler Matrix using coupling fed
technique. The two by two SIW symmetrical slotted array antennas with slot dimension of
coupling aperture 1 mm×2.7 mm is illustrated in Figure 4 and detailed dimension is listed in
Table 2. The SIW directional coupler Butler Matrix integrated with series connected patches
antenna and fed with aperture couple is designed to produce narrow E-plane beamwidth with
maximum gain and low mutual coupling when input signal is fed in input port, Port 1 and Port 2.
Figure 4. Exploded view of proposed steerable
2×2 butler matrix
Table 2. Dimension Details for Figure 4
Parameter Dimension
(mm)
Parameter Dimension
(mm)
W1 2.00 W4 4.50
L1
W2
L2
W3
L3
3.06
2.00
2.06
2.00
2.00
L4
W5
L5
d
W6
L6
20.00
15.00
15.00
0.45
3.60
8.50
The amplitude and phase excitation of each elements of phase array antenna is
individually controlled to form a radiated beam of desired shape. Hence, beam scanning is
operated with the antenna aperture remaining fixed in space without involvement of mechanical
motion in the scanning process. Array factor generally is a function of the number of
elements, geometrical arrangement, relative magnitude, relative spacing and relative phase.
The corresponding phase shift across element is given by (8) and beam direction of Butler
Matrix is given by (9) [22], where λ represents the wavelength and d is the antenna element
spacing. From the calculation, two beams generated with ± 30° beam direction respectively.
𝜙 𝑝 = 2𝜋𝑑 sin 𝜃 /𝜆 (8)
sin 𝜃 = ±
𝜆
𝑑
𝜙 𝑝
360°
(9)
3. Simulation Results
3.1. SIW Directional Coupler
A steerable SIW directional coupler has been designed and simulated using CST
Microwave Studio on the 0.508 mm thickness Rogers RO4350 substrate with relative
permittivity of 3.48. The dimension of the directional coupler is optimized to 15 mm×15 mm and
connected to the serially patch antenna array. Figure 5 and Figure 6 illustrated the results of the
directional coupler in terms of return loss, isolation, coupling and phase difference between the

 ISSN: 1693-6930
1660
coupled ports. The simulation shows the return loss, S11 and isolation value S41 less than -10dB,
which are -15.22 dB and -15.71 dB, indicated promising return loss value. The coupling factor
shows average of -3±2 dB of transmission coupling power indicated the output signal is
distributed equally between output ports. From the results, it is shown that S21 and S31, which
are -4.15 dB and -4.06 dB at 24 GHz while phase difference of 92° between two outputs ports.
Detailed simulation results are tabulated in Table 3. Directional coupler impedance is designed
to be matched to the transmission line delivering the energy for antenna radiating. From the
simulated result showed that Voltage Standing Wave Ratio, VSWR shows compromising value
of 1.11, indicates that the coupler has matched impedance to the transmission line.
Figure 5. S-Parameter of SIW
directional coupler
Figure 6. Phase difference between
output ports
3.2. Steerable Antenna
The input return loss and isolation simulation results are shown in Figure 7. The return
loss, S11 simulation value shown as -24.68 dB while isolation, S21 shows the value of -11 dB with
fractional bandwidth of 1 GHz (f1=23.7 GHz, f2=24.7 GHz). The array generates two beams at
different angles in its H-plane due to the phase progression in its individual elements.
The H-plane radiation patterns are shown in Figure 8 which showed that two steered beams are
formed when each of the two ports are fed individually with maximum gain of 6.34 dB.
The beams are mirror images of each other where when the signal is fed to Port 1, the main
lobe beam will direct to 29° while the signal will direct to -29° when the signal is fed to Port 2.
Base on theoretical calculation, the beam angles are 30 ±1° from the perpendicular. The array
exhibit angular width 3 dB of 27° when fed with Port 1 and Port 2 respectively as shown
in Figure 9.
Table 3. The Performance of proposed
SIW directional coupler
Coupler Performance Results
S11(dB) -15.22
S21(dB) -4.15
S31(dB)
S41(dB)
VSWR
Phase Difference
-4.06
-15.71
1.11
(167-75)°=92°
Figure 7. Simulated S11 and S21 between the ports

1661
(a) (b)
Figure 8. Simulations of radiation pattern from (a) port 1 and (b) port 2
Figure 9. Simulated polar plot radiation patterns at 24 GHz when fed from port 1 and port 2
Comparison between the proposed approach is been performed with previous literature
review. From Table 4, it can be seen that the performance of the proposed method of SIW with
slotted antenna 2×2 beamformer is comparable with the result obtained in those reported in the
previous work. The SIW technique by having via hole which create bilateral waveguide wall
made it possible for development of high performance millimeter wave and sub-millimeter wave
components in 5G wireless communication at 24 GHz without compromising the performance of
the proposed beamforming performance.
Table 4. Proposed Butler Matrix Performance Comparison from Previous Literatures
Ref.
Freq
(GHz)
S11
(dB)
S21
(dB)
S31
(dB)
S41
(dB)
BW
Phase
Difference
(°)
Gain
(dB)
Size
(mm2
)
Material
[23] 60 >-13.5 -2.5 -2.5 >-13.5 90 Rogers RT5880
[24] 270 >-30 –3 –3 -22.35 0.05 90 SU-8 wafer
[25]
29.2 -
32
-18.8 -6.3 -6.3 -18.9 9.3% 90 9.7∼12
110.28
× 42.5
Rogers 5880
[26] 28 37.8 3.53 3.72 -22 6.8GHz 89 14.5 35 × 20 Rogers duroid
This
work
24 -15.22 -4.15 -4.06 -15.71 1GHz 92 6.34 35 × 15
Rogers
RO4350
4. Conclusion
In this paper, a SIW 2×2 directional coupler as Butler Matrix integrated with slotted
waveguide antenna array for future 5G communications is designed and simulated. At 24 GHz,
proposed design achieves promising results of return loss, transmission, coupling, isolation and

 ISSN: 1693-6930
1662
phase difference which generate two beams with direction coverage of 30±1°, maximum beam
direction of 29° and maximum gain of 6.34 dBi. The total area of proposed beamforming
network Butler Matrix with antenna array is (35×15) mm2 area dimensions. The proposed
network is preferred for 5G communication networks as the system can enable beam switching
to the targeted users while suppressing unwanted signal. In addition the proposed system has
shown desirable gain, good steerable radiation and compact size that can well satisfy the
general requirements in 5G communication system.
References
[1] Vook FW, Ghosh A, Thomas TA. MIMO and beamforming solutions for 5G technology. Proc. IEEE
MTT-S Int. Microw. Symp. (IMS). 2014: 1–4.
[2] Sun S, Rappaport TS, Shaft M. Hybrid beamforming for 5G millimeter-wave multi-cell networks. Proc.
IEEE Conf. Comput. Commun. Workshops. Honolulu. 2018.
[3] Jang J, et al. Smart small cell with hybrid beamforming for 5G: Theoretical feasibility and prototype
results. IEEE Wireless Commun. Mag. 2016; 23 (6): 124–131.
[4] Molisch AF, et al. Hybrid beamforming for massive MIMO: A survey. IEEE Commun. Mag. 2017;
55(9): 134-141.
[5] Sohrabi F, Yu W. Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE
J. Sel. Topics Signal Process. 2016; 10(3): 501–513.
[6] Heath Jr RW, et al. An overview of signal processing techniques for millimeter wave MIMO systems.
IEEE J. Sel. Topics Signal Process. 2016; 10(3): 436–453.
[7] Schoebel J, Herrero P. Planar antenna technology for mm-wave automotive radar, sensing, and
communication. In: Guy Kouemou. Editor. Radar Technology. InTech. 2010: 297–318.
[8] Freese R, Jakoby HL, Blocher J, Wenger. Synthesis of microstrip series-fed patch arrays for 77
GHz-sensor applications. Proc. Asia Pacific Microw. Conf. 2000: 29-33.
[9] Passia MT, Nitas M, Yioultsis TV. A fully planar antenna for millimeter-wave and 5G communications
based on a new CSRR-enhanced substrate-integrated waveguide. Proc. Int.Workshop Antenna
Tech. - Small Antennas, Innovative Structures, and Applications (iWAT). 2017: 183–186.
[10] Yu B, Yang K, Sim CYD, Yang G. A novel 28 GHz beam steering array for 5G mobile device with
metallic casing application. IEEE Transactions on Antennas and Propagation. 2018; 66(1): 462–466.
[11] Collado C, Grau A, Flaviis FD. Dual-band Butler matrix for WLAN systems. Microwave Symposium
Digest, IEEE MTT-S International. 2005: 2247–2250.
[12] Jizat NM, Rahim SKA, Rahman TA. Dual band beamforming network integrated with array antenna.
2010 Fourth Asia International Conference on Mathematical/Analytical Modelling and Computer
Simulation (AMS). 2010.
[13] Desmarais L. Applied Electro Optics. Pearson Technology Group. 2008.
[14] Howard DD. Tracking radar. In: Skolnik MI. Editor. Radar Handbook. 2nd ed. McGraw-Hill. 1990.
[15] Zhang X, et al. A novel monopulse technique for adaptive phased array radar. Sensors. 2017;
17(1): 116.
[16] Chen XP, Wu K. Substrate integrated waveguide filter: Basic design rules and fundamental structure
features. IEEE Microw. Mag. 2014; 15(5): 108–116.
[17] Deslandes D, Wu K. Design Considerations and Performance Analysis of Substrate Integrated
Waveguide Components. European Microwave Conference. Milan. 2002:881-884.
[18] Zakaria Z, Sam WY, Abd Aziz MZA, Jusoff K, Mohamad MA, Mutalib A, Haron NZ. A Novel Structure
of Multilayer SIW Filter and Patch Antenna. International Journal of Engineering and Technology
(IJET). 2013; 5(5): 4400-4411.
[19] Jizat NM, Yusoff Z, Rahim SKA, Sabran MI, Islam MT. Exploitation of the electromagnetic band gap
(EBG) in 3-dB multi-layer branch-line coupler. 2015 IEEE 12th Malaysia International Conference on
Communications (MICC). 2015: 264-269.
[20] Sabri S, Ahmad BH, Othman AR. Design and fabrication of X-band Substrate Integrated Waveguide
directional coupler. 2013 IEEE Symposium on Wireless Technology and Applications (ISWTA).
2013: 264-268.
[21] Maiiloux RJ. Phased Array Antenna Handbook. Norwood: Artech House. 2005.
[22] Balanis CA. Antenna Theory Analysis and Design. Hoboken: Wiley. 1997.
[23] Chen CJ, Chu TH. Design of a 60-GHz substrate integrated waveguide butler matrix–a systematic
approach. IEEE Trans. Microw. Theory Tech. 2010; 58(7): 1724–1733.
[24] Li S, Lu S, Lancaster MJ. WR-3 band butler matrix design using SU-8 photo-resist technology.
3rd
Annual Seminar on Passive RF and Microwave Components. 2012: 19-26.
[25] Yang QL, Ban YL, Lian JW, Yu ZF, Wu B. SIW butler matrix with modified hybrid coupler for slot
antenna array. IEEE Access. 2016:4: 9561-9569.
[26] Orakwue SI, et al. A steerable 28 GHz array antenna using branch line coupler. 2015 1st
International
Conference on Telematics and Future Generation Networks. 2015: 76-78.

5G beam-steering 2×2 butler matrix with slotted waveguide antenna array

More Related Content

What's hot (20)

Similar to 5G beam-steering 2×2 butler matrix with slotted waveguide antenna array (20)

More from TELKOMNIKA JOURNAL (20)

Recently uploaded (20)

5G beam-steering 2×2 butler matrix with slotted waveguide antenna array