# Integrated Filtering Microstrip Duplex Antenna Array with High Isolation

Authors: Xian-Jing Lin; Ze-Ming Xie; Pei-Sheng Zhang
Journal: International Journal of Antennas and Propagation
 (2017)

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## Abstract

This paper presents a 2 × 1 integrated filtering microstrip duplex antenna array with high isolation and same polarization. The antenna consists of two radiating patches fed by two T-shaped probes and a power distributing duplex network (PDDN). The PDDN is composed of two bandstop filters and a 180-degree phase shift power divider. And the PDDN is designed to achieve the functions of power division, frequency selectivity, and port isolation. A Transmission Line (TL) model is adopted to design the PDDN, and the detailed synthesis procedure is presented. For demonstration, the proposed antenna is designed and fabricated. The implemented antenna achieves an average gain of 10 dBi, a cross-polarization ratio of 20 dB, and an isolation of 35 dB within the operation band.


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## Body

## 1. Introduction

Full-duplex communication is one of the most important operating modes in modern wireless communications. It is common to use antennas cascaded with duplexes or filters to realize full-duplex communication. However, antennas, duplexes, or filters are designed separately and cascaded through 50 ohm interfaces and matching networks. Due to the different bandwidths of the duplexer, filter, and the antenna, they are usually not well matched; then it will degrade the performances of the system. And it will enlarge the size and weight of the overall system, too.One of the effective methods to improve the efficiency and reduce the size and weight of the system is to integrate the designs of antennas, duplexes, and filters. Therefore, designs of duplex antennas have attracted much attention of researchers. Using different feeding networks to transmit transmitting (Tx) and receiving (Rx) signals to two stacked patches is a common way to realize duplex function [1]. However, the antenna suffers from narrow bandwidth and complicated configuration. Dual-polarized antenna is another effective method to achieve duplex operation. It transmits and receives signals through a common patch to make the antenna more compact. In [2], a dual-polarized filtering antenna array with enhanced bandwidth and selectivity is proposed by integrating the multimode resonators and radiating patches.Recently, the design of duplex antenna with single polarization is attracting much attention. In [7], a single polarization T-stubs loaded aperture duplex antenna is designed. In [8], the duplex operation is realized by SIW technique. Two separated feeding lines excite the cavity backed bow-tie shaped slot to obtain two impervious modes. In [3], a filtering diplexing antenna is designed. It utilizes coupled microstrip resonators and multimode patch to realize duplex function. In [4], two filtering antenna subarrays are integrated together to work as a duplex antenna. The out-of-band radiations of the subarrays are suppressed by adding shorting pins into the filtering elements. The isolation of the antenna is improved. But the size becomes large. Integrating the duplexer and a dual-band antenna can also realize the duplex operation [5]. Though the abovementioned single polarization duplex antennas are well worked, they sustain the disadvantages of narrow bandwidth, low gain, and dissatisfied isolation.In this paper, a duplex antenna array with same polarization, high isolation, high gains, and acceptable working bandwidths is designed. Bandstop filters and power divider are adopted to make up a PDDN for a 2 × 1 microstrip antenna array. High isolation is obtained by the transmission zeros that produced by the bandstop filters. High gains are realized by the common radiation of the two patch elements. This paper is organized as follows: Section2 illustrates the geometry and the design of the proposed antenna array. Section 3 presents a comparison between the simulation and measurement results. Section 4 is a conclusion.


## 2. Geometry and Design of the Antenna

### 2.1. Geometry of the Antenna Array

Figure1 illustrates the configuration of the proposed antenna array. It consists of two radiating patch elements, a pair of T-shaped probes, and a feeding PDDN. With reference to the figure, the square patch elements with a side length ofl1 and spacing ofl2 are fabricated on the top face of the sup-substrate, the ground plane and the feeding circuit are fabricated on the top and bottom faces of the sub-substrate, respectively. Both substrates are with dielectric constant 2.55, thickness 0.8 mm, and loss tangent 0.003. An air gap with height ofh and a pair of probes are introduced between the two substrates. The T-shaped probe consists of a horizontal stripline printed on the back side of the top substrate and a vertical metalized arm. One end of the vertical metalized arm is connected to the center of the horizontal stripline and the other end is connected to the PDDN through a circle slot etched on the ground plane and a via-hole in the sub-substrate. Figure 1(b) shows the PDDN. The PDDN composes of a power divider and two branch circuits connected to the Tx (port 1) and Rx (port 2) ports. When Tx port is excited, signal of Tx band is split into two equal magnitude and out-of-phase components coupled to the two radiating patches. Exciting the Rx port, same function can be obtained. The out-of-phase operation is realized by the λ/2 microstrip lines difference between the distances of the input port and two probes. Note that λ is the wavelength of passband center frequency. The Tx and Rx branches are both composed of a bandstop filter and an impedance transformer. The bandstop filter in Tx branch has the passband at the Tx band and the stopband at the Rx band, and vice versa. The overall size of the antenna array is 200 × 130 × 7.6 mm3. The detailed dimensions of the proposed antenna array are listed in Table 1.Table 1
Dimensions of the proposed antenna (unit: mm).
Symbol Quantity l 200 l 3 6.5 l 6 24 l 9 26.5 l 12 26.5 l 15 21.775 w 2 1.27 w 5 13 l 1 49 l 4 28.5 l 7 20 l 10 25.7 l 13 25.9 w 130 w 3 7 w 6 2.25 l 2 49.5 l 5 27.3 l 8 25.7 l 11 25.5 l 14 22.725 w 1 2 w 4 0.5 h 6Figure 1
Geometry of the antenna array: (a) top view of the upper substrate, (b) the PDDN, (c) sectional drawing of the antenna array.


### 2.2. Design of the Bandstop Filter (BSF)

The BSF is shown in Figure2(a). It comprises two open-circuited uniform impedance stubs (UISs) (Z1,θ1,Z3,θ3) and a low impedance (Z2,θ2) TL. TheABCD parameters of the BSF are derived using the lossless TL model as(1)A=cos⁡θ2-KZ2sin⁡θ2,B=jZ2sin⁡θ2,C=jRcos⁡θ2+sin⁡θ2Z2-KRZ2sin⁡θ2+Kcos⁡θ2,D=-RZ2sin⁡θ2+cos⁡θ2,where(2)R=tan⁡θ1Z1,K=tan⁡θ3Z3.Then, the corresponding transmission coefficient and the reflection coefficient of the filter are as follows: (3)S11=A+B/Z0-CZ0-DA+B/Z0+CZ0+D,(4)S21=2A+B/Z0+CZ0+D.Figure 2
Layout of the BSF: (a) without a transformed line; (b) with a transformed line.
(a) (b)Z 0 is the port impedance. According to [6], the transmission zeros are produced by the UISs. To simplify the analysis, we set θ1=θ2-Δθ,θ3=θ2+Δθ,Z1=Z3. Figure 3(a) shows the simulated S11 and S21 of the BSF with different Δθ. Note that it can be seen that Δθ has a significant impact on the transmission zeros of the BSF. Figure 3(b) shows the simulated S11 and S21 of the BSF with different impedance ratio. The stopband of the BSF will shift to low band when impedance ratio increases. Adjusting the Δθ and impedance ratio, a BSF with proper bandpass and stopband can be obtained. Here, a passband at 2.2 GHz and stopband at 2.4 GHz Tx BSF and a passband at 2.4 GHz and stopband at 2.2 GHz Rx BSF are designed. To eliminate the mutual interference between the Tx and Rx branches, a λ/4 transformed line is employed as shown in Figure 2(b), wherein λ is the wavelength of the stopband. The Tx (Rx) BPS together with the transformed line can be equivalent to open circuit at the Rx (Tx) band. The S-parameter and the input impedance Zin of the Tx BSF with and without λ/4 transformed line are shown in Figure 4. It can be seen that the S-parameter is not affected, but the value of Zin at 2.4 GHz is very large; thus the BSF with λ/4 transformed line can be equivalent to terminal open. The input impedance of the Rx BSF with λ/4 transformed line can also be equivalent to open circuit at 2.2 GHz. Consequently, the Tx and Rx operation can work independently.Figure 3
Effect of theΔθ and impedance ratio. (a) Δθ; (b) impedance ratio (in (a), Z1= 100 Ω, Z2= 10 Ω, θ2=π/2; in (b), θ2=π/2, Δθ=θ2/50).
(a) (b)Figure 4
SimulatedS-parameter and input impedance of Tx BSF: (a) S-parameter of the BSFs with and without transformer, (b) input impedance Zin of the BSF without transformer, (c) input impedance Zin of the BSF with transformer (Z1= 100 Ω, Z2= 10 Ω, θ2=π/2, θ2=π/2,Δθ=θ2/50).
(a) (b) (c)


### 2.3. Design of the PDDN

Figures5(a) and 5(b) show the configuration of the power divider and the PDDN, respectively. The power divider is a symmetrical structure like a C shape. When Δl is about quarter wavelength of the operating center frequency of the input port, signals from input port (port 1) can split two equal magnitude and out-of-phase components to output ports (port 3 and port 4).Figure 5
(a) Layout of the power divider. (b) Layout of the PDDN.The two equal magnitude and out-of-phase components coupled to the two patches through the two T-shaped probes can produce in-phase radiation at both of the radiating patches. The out-of-phase feeding network, Tx and Rx BSFs, and theλ/4 transformed lines constitute the PDDN. The phase difference between port 3 and port 4 of the PDDN is illustrated in Figure 6. As expected, 180° phase difference at the operating band of the excited port is obtained between port 3 and port 4 for port 1 or port 2 exited. Moreover, with reference to Figure 6, it can be seen that the PDDN can offer 45 dB isolation between the two input ports.Figure 6
SimulatedS-parameters and phase differences between the two output ports of the PDDN: (a) port 1 excited; (b) port 2 excited.
(a) (b)


### 2.4. Design of the T-Shaped Coupled Patch Antenna

In this section, two T-shaped probes coupled patches proposed in [9] are designed as the radiating elements of the antenna array. The configuration of the T-shaped probe coupled patch element is shown in Figure 7. The patch element together with the T-shaped probe can be equivalent to a two-order bandpass filter. When the coupling strengths between the T-shaped probes and the patches are proper, the two poles can be achieved. Thus, the operating band can be widened. As a result, the T-shaped probe coupled patch antenna designed as the radiating element is a good choice.Figure 7
Layout of the T-shaped probe coupled antenna.


## 2.1. Geometry of the Antenna Array

Figure1 illustrates the configuration of the proposed antenna array. It consists of two radiating patch elements, a pair of T-shaped probes, and a feeding PDDN. With reference to the figure, the square patch elements with a side length ofl1 and spacing ofl2 are fabricated on the top face of the sup-substrate, the ground plane and the feeding circuit are fabricated on the top and bottom faces of the sub-substrate, respectively. Both substrates are with dielectric constant 2.55, thickness 0.8 mm, and loss tangent 0.003. An air gap with height ofh and a pair of probes are introduced between the two substrates. The T-shaped probe consists of a horizontal stripline printed on the back side of the top substrate and a vertical metalized arm. One end of the vertical metalized arm is connected to the center of the horizontal stripline and the other end is connected to the PDDN through a circle slot etched on the ground plane and a via-hole in the sub-substrate. Figure 1(b) shows the PDDN. The PDDN composes of a power divider and two branch circuits connected to the Tx (port 1) and Rx (port 2) ports. When Tx port is excited, signal of Tx band is split into two equal magnitude and out-of-phase components coupled to the two radiating patches. Exciting the Rx port, same function can be obtained. The out-of-phase operation is realized by the λ/2 microstrip lines difference between the distances of the input port and two probes. Note that λ is the wavelength of passband center frequency. The Tx and Rx branches are both composed of a bandstop filter and an impedance transformer. The bandstop filter in Tx branch has the passband at the Tx band and the stopband at the Rx band, and vice versa. The overall size of the antenna array is 200 × 130 × 7.6 mm3. The detailed dimensions of the proposed antenna array are listed in Table 1.Table 1
Dimensions of the proposed antenna (unit: mm).
Symbol Quantity l 200 l 3 6.5 l 6 24 l 9 26.5 l 12 26.5 l 15 21.775 w 2 1.27 w 5 13 l 1 49 l 4 28.5 l 7 20 l 10 25.7 l 13 25.9 w 130 w 3 7 w 6 2.25 l 2 49.5 l 5 27.3 l 8 25.7 l 11 25.5 l 14 22.725 w 1 2 w 4 0.5 h 6Figure 1
Geometry of the antenna array: (a) top view of the upper substrate, (b) the PDDN, (c) sectional drawing of the antenna array.


## 2.2. Design of the Bandstop Filter (BSF)

The BSF is shown in Figure2(a). It comprises two open-circuited uniform impedance stubs (UISs) (Z1,θ1,Z3,θ3) and a low impedance (Z2,θ2) TL. TheABCD parameters of the BSF are derived using the lossless TL model as(1)A=cos⁡θ2-KZ2sin⁡θ2,B=jZ2sin⁡θ2,C=jRcos⁡θ2+sin⁡θ2Z2-KRZ2sin⁡θ2+Kcos⁡θ2,D=-RZ2sin⁡θ2+cos⁡θ2,where(2)R=tan⁡θ1Z1,K=tan⁡θ3Z3.Then, the corresponding transmission coefficient and the reflection coefficient of the filter are as follows: (3)S11=A+B/Z0-CZ0-DA+B/Z0+CZ0+D,(4)S21=2A+B/Z0+CZ0+D.Figure 2
Layout of the BSF: (a) without a transformed line; (b) with a transformed line.
(a) (b)Z 0 is the port impedance. According to [6], the transmission zeros are produced by the UISs. To simplify the analysis, we set θ1=θ2-Δθ,θ3=θ2+Δθ,Z1=Z3. Figure 3(a) shows the simulated S11 and S21 of the BSF with different Δθ. Note that it can be seen that Δθ has a significant impact on the transmission zeros of the BSF. Figure 3(b) shows the simulated S11 and S21 of the BSF with different impedance ratio. The stopband of the BSF will shift to low band when impedance ratio increases. Adjusting the Δθ and impedance ratio, a BSF with proper bandpass and stopband can be obtained. Here, a passband at 2.2 GHz and stopband at 2.4 GHz Tx BSF and a passband at 2.4 GHz and stopband at 2.2 GHz Rx BSF are designed. To eliminate the mutual interference between the Tx and Rx branches, a λ/4 transformed line is employed as shown in Figure 2(b), wherein λ is the wavelength of the stopband. The Tx (Rx) BPS together with the transformed line can be equivalent to open circuit at the Rx (Tx) band. The S-parameter and the input impedance Zin of the Tx BSF with and without λ/4 transformed line are shown in Figure 4. It can be seen that the S-parameter is not affected, but the value of Zin at 2.4 GHz is very large; thus the BSF with λ/4 transformed line can be equivalent to terminal open. The input impedance of the Rx BSF with λ/4 transformed line can also be equivalent to open circuit at 2.2 GHz. Consequently, the Tx and Rx operation can work independently.Figure 3
Effect of theΔθ and impedance ratio. (a) Δθ; (b) impedance ratio (in (a), Z1= 100 Ω, Z2= 10 Ω, θ2=π/2; in (b), θ2=π/2, Δθ=θ2/50).
(a) (b)Figure 4
SimulatedS-parameter and input impedance of Tx BSF: (a) S-parameter of the BSFs with and without transformer, (b) input impedance Zin of the BSF without transformer, (c) input impedance Zin of the BSF with transformer (Z1= 100 Ω, Z2= 10 Ω, θ2=π/2, θ2=π/2,Δθ=θ2/50).
(a) (b) (c)


## 2.3. Design of the PDDN

Figures5(a) and 5(b) show the configuration of the power divider and the PDDN, respectively. The power divider is a symmetrical structure like a C shape. When Δl is about quarter wavelength of the operating center frequency of the input port, signals from input port (port 1) can split two equal magnitude and out-of-phase components to output ports (port 3 and port 4).Figure 5
(a) Layout of the power divider. (b) Layout of the PDDN.The two equal magnitude and out-of-phase components coupled to the two patches through the two T-shaped probes can produce in-phase radiation at both of the radiating patches. The out-of-phase feeding network, Tx and Rx BSFs, and theλ/4 transformed lines constitute the PDDN. The phase difference between port 3 and port 4 of the PDDN is illustrated in Figure 6. As expected, 180° phase difference at the operating band of the excited port is obtained between port 3 and port 4 for port 1 or port 2 exited. Moreover, with reference to Figure 6, it can be seen that the PDDN can offer 45 dB isolation between the two input ports.Figure 6
SimulatedS-parameters and phase differences between the two output ports of the PDDN: (a) port 1 excited; (b) port 2 excited.
(a) (b)


## 2.4. Design of the T-Shaped Coupled Patch Antenna

In this section, two T-shaped probes coupled patches proposed in [9] are designed as the radiating elements of the antenna array. The configuration of the T-shaped probe coupled patch element is shown in Figure 7. The patch element together with the T-shaped probe can be equivalent to a two-order bandpass filter. When the coupling strengths between the T-shaped probes and the patches are proper, the two poles can be achieved. Thus, the operating band can be widened. As a result, the T-shaped probe coupled patch antenna designed as the radiating element is a good choice.Figure 7
Layout of the T-shaped probe coupled antenna.


## 3. Simulated and Measured Results

To demonstrate the idea, the integrated filtering microstrip duplex antenna array is designed and fabricated. Figure8 illustrates the fabricated prototype. Figure 9 shows the simulated and measured reflection and transmission coefficients of the proposed antenna array. It is observed that the measured results agree well with the simulation ones, except a small difference caused by the fabrication errors. The fractional bandwidths of the two operating bands are given by 3.1% (2.15–2.22 GHz) and 3.5% (2.37–2.46 GHz), respectively. And the port-to-port isolation is better than 35 dB over the two bands.Figure 8
Prototype of the fabricated antenna array.Figure 9
Simulated and measuredS-parameter of the antenna array.The simulated and measured realized gains of the antenna array are shown in Figure10. It is observed that the antenna array has a flat gain about 9.8 dBi from 2.15 GHz to 2.22 GHz for port 1 excited. This drops sharply to below −25 dBi at the 2.4 GHz band. When port 2 is excited, the antenna has a stable gain about 10 dBi from 2.37 GHz to 2.46 GHz. The gain is suppressed to below −30 dBi at the 2.2 GHz band.Figure 10
Simulated and measured realized antenna gain.Figure11 shows the simulated and measured normalized co- and cross-polarization radiation patterns of the antenna array in two orthogonal planes at 2.2 GHz for port 1 excited and port 2 terminated with a 50 Ω load. The measured and simulated results agree well. The maximum radiation direction can be steered by pattern reconfiguration [10, 11]. The proposed antenna exhibits a maximum radiation in the broadside direction with the polarization in the y-axis. And the measured cross-polarization discrimination (XPD) is over 20 dB in both φ= 90° and φ= 0° planes.Figure 11
Normalized radiation patterns at 2.2 GHz for port 1 excited: (a)φ= 90°; (b) φ= 0°.
(a) (b)Figure12 shows the normalized simulated and measured 2.4 GHz radiation patterns for port 2 excited and port 1 terminated with a 50 Ω load. The radiation patterns also exhibit a maximum radiation in the broadside direction with the same polarization in the y-axis. The measured XPD is over 28 dB in φ= 90° and φ= 0° planes.Figure 12
Normalized radiation patterns at 2.4 GHz for port 2 excited: (a)φ= 90°; (b) φ= 0°.
(a) (b)The simulated antenna efficiencies at 2.2 GHz and 2.4 GHz are about 73% and 75%, respectively. Table2 summarized the performances of the proposed antenna compared with other reported antennas in the literature. It can be observed that the proposed antenna array shows good performances of high gain, high isolation, and low cross-polarization level.Table 2
Comparison with the previous works.
Antennas Frequency Isolation Gain XPD [3] 2.45/5.5 >26 1.3/4.8 25/13 [4] 8.98/11.22 >22 4.3/4.2 13/19 [5] 2.45/5.5 >21 2.3/3.6 21.8/18.3 [6] 2.58/2.87 >32 5/4.5 20/28 This work 2.2/2.4 >35 9.8/10 20/28


## 4. Conclusion

An integrated filtering duplex microstrip antenna array with high isolation has been presented in this paper. The antenna array is composed of two T-shaped probes coupled patch elements and a PDDN. The PDDN is used as the power-splitter and isolated configuration. The lossless TL model is adopted to design the BSFs in PDDN. And the analysis of the PDDN is presented in detail. The simulated and measured results agree well, showing good performances of impedance matching, gain, ports isolation, XPD, and similar radiation pattern.



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*Source: 4127943-2017-02-22.xml*