# Compact Dual-Band Coupler for Vehicular Beam-Forming Array

Authors: Dakui Wu; Guoxin Zheng
Journal: International Journal of Antennas and Propagation
 (2017)

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## Abstract

A novel kind of compact dual-band quadrature patch coupler for vehicular beam-forming array is proposed for the first time in this paper. To keep the performance of the first operating frequency 2.4 GHz (for Bluetooth Low Energy (BLE)) and generate the second operating frequency 5.9 GHz (for Dedicated Short Range Communications (DSRC)) simultaneously, complementary triangular split resonant rings (CTSRRs) and splitting gaps are employed to improve the performance of this new coupler; final size of the proposed coupler is0.24λg (for 2.4 GHz). To validate the performance and design method of the coupler this paper proposed, a 3D model is constructed and optimized with ANSOFT HFSS firstly and then a coupler prototype is fabricated and measured. The measured results show that the amplitude unbalance (AU) is 0.54 dB and 0.44 dB for 2.4 GHz and 5.9 GHz, respectively, and the corresponding phase unbalance (PU) is 93.5 and 92 degrees, respectively.


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## Body

## 1. Introduction

The development of autonomous driving brings new challenge to vehicular communication; Dedicated Short Range Communication (DSRC) is a very potential technology for the emerging market of intelligent transport system (ITS); DSRC system is fixed on 5.9 GHz with 75 MHz of spectrum in US, which is mainly used for V2I (vehicle to infrastructure) communication. On the other side, Bluetooth devices are more and more widely used in new vehicles for scenarios like V2V (vehicle-to-vehicle) communication and communication between different on-board terminals. Currently, omnidirectional or wide beam antenna is used for DSRC or Bluetooth terminal [1–3], whereas these terminals will consume more power for its antenna’s poor gain performance especially in long-distance V2X scenarios. In these cases, beam-switching array could be a better choice for DSRC or Bluetooth terminals.Beam-switching array based on butler-matrix is characterized with fast-switching, low-cost, simple structure, and easy integrating. Butler-matrix feeding network is the key component for this kind of array and butler-matrix which is composed of quadrature couplers is widely used as feeding network [4, 5]. Comparing with traditional branch line coupler, patch coupler is characterized with compact size and flexible structure. Some patch couplers with dual-band performance were proposed in former paper [6–9]; Table 1 shows the differences between previous works and this work in terms of size, complexity, shapes, amplitude unbalance (AU), and phase unbalance (PU). In [6], dual-band performance is realized by adding extra resonant patch on rectangular coupler, which will result in bulk size; the same problem exists in [7] which employs extra branch to realize dual-band performance; in [8], due to the limited size of square complementary split ring resonators (SCSRRs) which etched in circular patch, dual-band operating performance cannot be realized for the desired frequency ratio of 5.8 GHz/2.4 GHz; the same problem exists in [9] which uses embedded spiral open stubs to generate the second frequency of 1.385 GHz; the maxim frequency ratio is restricted by size of the etched circular hole. In this paper, a new kind of dual-band patch coupler which employs square patch and triangle split resonant rings (CTSRRs) is proposed for butler-matrix based beam-switching array; the performance of the coupler is validated by simulated and measured results.Table 1
Performances of different dual-band patch coupler.
Operating freq. (GHz)/Ref. number Size inλg Complexity Shape AU (dB) PU (degree) 2.4 & 5.8/Ref. [6] 1.07 λ g × 0.66 λ g Middle Hybrid rectangular patch 0.1 3.1 0.915 & 1.575/Ref. [7] 0.3 λ g × 0.3 λ g Middle Rectangular patch with stub and etched holes 0.5 3 3 & 5/Ref. [8] 0.57 λ g × 0.3 λ g High Circular patch with ring resonator 0.7 6.7 0.985 & 1.385/Ref. [9] 0.22 λ g × 0.22 λ g High Rectangular patch with spiral open stubs 0.6 3 2.4 & 5.8/this work 0.24 λ g × 0.24 λ g High Rectangular patch with triangular resonator 0.5 3.5


## 2. Structure of the Coupler

As shown in Figure1, the proposed patch coupler is composed of traditional diagonal slot loaded patch coupler [10] and four CTSRRs [11, 12]; two symmetry wide rectangular slots are employed as perturbation elements to degrade patch resonator’s geometrical symmetry [10, 13]. To generate the second resonant frequency of 5.9 GHz, four similar CTSRRs are etched on space area between two adjacent slots; the space area can be used sufficiently for its special shape of the CTSRR. At the same time, the patch current distribution almost keeps unchanged for most of the current concentrated along the crossed slots [9]. To improve the amplitude balance of the two output ports at 5.9 GHz, another two small symmetry rectangular slots are loaded on the other diagonal slot, and a current gap is constructed to furthermore adjust the amplitude balance of 2.4 GHz on top side of the patch. The new appearing slots of four CTSRRs on ground split the whole ground into four parts; the current distribution will be totally different from that of traditional coupler with a whole ground, and this will lead to frequency shift for 2.4 GHz operating frequency, so a current gap which is composed of two λg/4branches is introduced to shorten the current path of the ground.Figure 1
Top and bottom view of the proposed patch coupler.


## 3. Analysis

The equivalent circuit of CTSRR can be seen as dual of the Triangular Split Ring Resonator (TSRR) [12], which is shown in Figure 2. The inductance (L) and capacitance (Cs) of the CTSRR are calculated by applying Babinet’s principle to the TSRR elements [12]. The operating frequency of CTSRR is mainly influenced by the opening size w1 and length of resonatorl1, which can be expressed as follows [12]:(1)f0=12πLCs,where (2)Cs=0.75SavgCpul,L=3μ0μr2πlnSavgw-1.405.Savg is the average length of the side of the triangles and Cpul is the capacitance per unit length between the triangles [9], the calculated results of above parameters are shown in Table 2. On the other hand, the simplified form of this equivalent is extracted by circuit theory to show the overall circuit with a compact way, which is also shown in Figure 2. So the equivalent circuit of the patch coupler this paper proposed can be expressed as Figure 3; the parameters Cc1 and Cc2 represent the capacitance which is generated by diagonal gap between two adjacent CTSRRs.Table 2
Parameters of the CTSRR equivalent circuit.
Parameters Results C s 5.27 × 1 0 - 16 / f 0 = 2.4GHz;  8.71×10-17/f0=5.9GHz C p u l 1.78 × 1 0 - 16 / f 0 = 2.4  G H z;  2.94×10-17/f0=5.9GHz S a v g 3.95 mm L 8.36 × 1 0 - 7HFigure 2
Equivalent circuit of CTSRR and its simplified form.Figure 3
Equivalent circuit of the dual-band coupler.


## 4. Validation

As mentioned above, the CTSRR is used to generate the second resonant frequency of 5.9 GHz and prolong the current path of 2.4 GHz simultaneously; this can be proved by current distribution of the patch coupler. A 3D model of the coupler is constructed and optimized by ANSOFT HFSS to validate the performance and design method; the current distributions of 2.4 GHz and 5.9 GHz are shown in Figures4 and 5, respectively; we can see from Figure 4 that the current distribution does not change after the CTSRR was introduced into the patch. Whereas the current distribution of CTSRR for 5.9 GHz is obviously changed, most of current is centred on the triangular gap, which proves that the dominant resonant frequency of 5.9 GHz is generated by CTSRR successfully.Figure 4
Current distribution of the coupler for 2.4 GHz.Figure 5
Current distribution of the coupler for 5.9 GHz.To furthermore validate the performance and design method of this compact dual-band patch coupler, a coupler prototype is simulated, fabricated, and measured to compare with the simulation results. Initial length of the diagonal slot is set as the length of the patch lengthwp and the final optimized result is 12 mm; the length and width of the small rectangular slot are 1.5 mm and 0.5 mm; the corresponding location ld=1.35; l2 and w2 represent the location and width of the top current gap. The widths of slot both on top and bottom sides are 0.1 mm; λg is the guided wavelength of 5.9 GHz; other parameters in Figures 1 and 3 are shown in Table 3. The coupler prototype is shown in Figure 6; FR4 substrate with a thickness of 20 mil is used to fabricate this prototype.Table 3
Final optimized results of the prototype.
Parameters Dimension (mm) w p 14.2 l d 1.35 l s 0.4 l g 4.25 l 1 6.2 w 1 1 l 2 1.25 w 2 0.5 l 3 3.2 w 3 1.5Figure 6
Prototype of the dual-band patch coupler.The simulated and measured S11 and S41 are shown in Figure7, including the simulation results of CKT model of Figure 3; we can see that S11 and S41 both perform well in the two interested bands of 2.4 GHz and 5.9 GHz for all the three sets of data; the measured S11 is about −11 dB and −10 dB for 2.4 GHz and 5.9 GHz, respectively. CKT model simulation results show that the operating frequency band of CKT model meets well with simulation and measured results of 3D model. Figure 8 shows the corresponding results of S21 and S31; we can see that all three sets of results meet well with each other; the measured transmission coefficients S21 and S31 are −5.2 dB and −5.7 dB for 2.4 GHz and −4.7 dB and −4.6 dB for 5.9 GHz. Figure 9 is the simulated and measured results of the phase response of the coupler porotype. AU and PU of the coupler prototype are shown in Figure 10; the simulated AU is 0.4 dB at 2.4 GHz and 0.8 dB at 5.9 GHz; the corresponding measured results are 0.5 dB and 0.4 dB, respectively. The simulated PU are 93.5 degrees and 92 degrees for 2.4 GHz and 5.9 GHz, respectively; the corresponding measured results are 91 degrees and 93 degrees. The above differences between simulated and measured results come from fabrication tolerance and measurement errors. So the performance and design method of this compact dual-band patch coupler proposed in this paper are validated.Figure 7
S11 and S41 of the coupler prototype and CKT model.Figure 8
S21 and S31 of the coupler prototype and CKT model.Figure 9
Phase response of the coupler prototype.Figure 10
Amplitude and phase unbalance of the coupler prototype.


## 5. Conclusion

A novel dual-band compact patch coupler for butler-matrix beam-forming array is proposed in this paper; to get the second operating frequency of 5.9 GHz, CTSRRs (complementary triangular split resonant rings) are employed to avoid influencing another operating frequency of 2.4 GHz. Performance and design method of this coupler are validated by simulation and measured results. This compact coupler can be used in vehicular beam-forming array and other wireless communication systems, which is operating in 2.4 GHz and/or 5.9 GHz.



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*Source: 9364275-2017-01-18.xml*