# 5G MIMO Conformal Microstrip Antenna Design

Authors: Qian Wang; Ning Mu; LingLi Wang; Safieddin Safavi-Naeini; JingPing Liu
Journal: Wireless Communications and Mobile Computing
 (2017)

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## Abstract

With the development of wireless communication technology, 5G will develop into a new generation of wireless mobile communication systems. MIMO (multiple-input multiple-output) technology is expected to be one of the key technologies in the field of 5G wireless communications. In this paper, 4 pairs of microstrip MIMO conformal antennas of 35 GHz have been designed. Eight-element microstrip Taylor antenna array with series-feeding not only achieves the deviation of the main lobe of the pattern but also increases the bandwidth of the antenna array and reduces sidelobe. MIMO antennas have been fabricated and measured. Measurement results match the simulation results well. The return loss of the antenna at 35 GHz is better than 20 dB, the first sidelobe level is −16 dB, and the angle between the main lobe and the plane of array is 60°.


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## Body

## 1. Introduction

Multiple-input multiple-output (MIMO) technology is originated from wireless communication antenna diversity technology and intelligent antenna technology. It is a combination of multiple-input single-output (MISO) and single-input multiple-output (SIMO) and therefore has the advantages and characteristics of the two [1, 2]. The MIMO system is equipped with multiple antennas at the transmitter and the receiver. It can improve the quality of wireless communication and the rate of data exponentially without increasing the bandwidth and transmitted power [3, 4]. Multiantenna system is an important part of MIMO technology. MIMO wireless system is not only affected by the multipath characteristics of the wireless communication channel but also depends on the design and layout of the multiantenna system. The research of MIMO multiantenna design mainly includes the form of antenna element, the layout of multiple antennas, and the mutual coupling analysis. At present, the research of MIMO multiantenna is focused on the exploration of low cost and high performance designs of antenna and layout [5–7].Antennas are usually placed on the surface of the carrier to achieve the desired electromagnetic performance. To this end, the conformal antenna was designed [8]. Conformal antenna can be designed on the surface of the carrier, which will not damage the mechanical structure of the carrier and can save space [9–11]. It can be placed anywhere on the surface of the carrier. Conformal antennas are usually microstrip antenna, stripline antenna, or crack antenna. The microstrip antenna has many advantages such as low profile, small size, light weight, and ease to integrate with other carriers. It is therefore more suitable for conformal antenna [12, 13]. In addition, the millimeter-wave band has attracted a lot of attention due to the advent of 5G technology and its inherent characteristics, such as short wavelength, wide frequency band, and propagation characteristics in the fog, snow, and dust environment [14–16]. Therefore, there has been extensive research on millimeter-wave microstrip antenna.This paper presents the design of a MIMO conformal antenna for 5G. The frequency is 35 GHz, the carrier of conformal is a cylinder, and the angle between the main lobe of pattern and the carrier axis is 60°. The sidelobe characteristics of the antenna significantly affect the interference of the system and the suppression of the clutter. The antenna designed in this paper requires the first sidelobe level to be about −18 dB. In view of this characteristic, a series-fed standing wave antenna array with Taylor distribution is designed. Considering the influence of coupling, 4 pairs of antennas are designed. The results of the research are well suited for the 5G MIMO communication.


## 2. 5G MIMO Conformal Antenna Design

### 2.1. Radiation Elements Design

The first part of the MIMO conformal antenna design is the radiation elements. The design uses microstrip patch antenna as radiation elements. There are two main steps in the rectangular microstrip antennas design. The first step is theoretical analysis, and the second step is simulation and optimization.Firstly, we choose dielectric substrate. For microstrip circuit, the loss of the microstrip is very large in the millimeter-wave band. The loss can be divided into dielectric loss, conductor loss, and radiation loss [17]. Substrates with low loss tangent dielectric are usually chosen to reduce the dielectric loss. When the dielectric constant is low, the total loss of the microstrip would not change with the characteristic impedance. On the contrary, when the substrate has high dielectric constant, the loss of the microstrip will change rapidly with the characteristic impedance. Thicker substrate will increase radiation losses and the surface wave is more serious. A smaller height is more effective in suppressing the higher mode and reducing the radiation loss. Additionally, the thinner substrate with good flexibility is good for conformal antenna [18]. Taking these factors into consideration, we use RT/duroid5880 (εr=2.2,tan⁡δ=0.0009) as substrate, and the height of the dielectric substrate is 0.5 mm.Next the widthW of the patch elements is determined. Directivity factor of microstrip antenna, radiation resistance, and other characteristics will vary with the change of W. These characteristics directly affect the frequency bandwidth and radiation efficiency of the antenna. In order to get the desired frequency bandwidth and radiation efficiency, the choice of W is particularly important. The size of the width should meet the following requirement [18]:(1)W≤c2frεr+12-1/2,where c is speed of light and fr is the resonant frequency. In this design, fr is 35 GHz.The next step is to determine the lengthL of the patch elements. The size of unit length L is determined by the effective dielectric constant and the operating frequency. Effective dielectric constant of substrate is defined as εe, which is given by the following [18]:(2)εe=12εr+1+εr-11+12hW-1/2.The lengthL of the rectangular microstrip patch antenna is approximately λg/2 and is given by the following [18]:(3)Δl=0.412εe+0.3W/h+0.264εe-0.258W/h+0.8hL=c2frεe-2Δl.From (1)–(3), W is chosen to be 3.38 mm and L is 2.8 mm.There are three main methods to feed the rectangular microstrip patch. Microstrip line feeding is usually used to design array elements, coaxial feeding is usually used for single microstrip antenna, and the electromagnetic coupling feeding is usually used in the microstrip antenna of double structure [18]. Microstrip patch element designed here is a radiation element in the antenna array, so microstrip is chosen as feeding method.The rectangular microstrip antenna element is shown in Figure1. W and L of the patch element are adjusted during the simulation process. The size of L mainly affects the resonant frequency, and W mainly affects impedance matching. Through simulation and optimization, we get that W=3.32 mm and L=2.45 mm, the width of feed line w=0.46 mm, and the center of the feed line is midpoint of W.Figure 1
The model of rectangular microstrip patch antenna.All simulations are performed using HFSS in the following. Figure2 is S-parameter of rectangular microstrip patch antenna. It can be seen from the figure that return loss has reached −49 dB at 35 GHz. The relative bandwidth for S11<-10 dB can be found from the figure to be 6.6%.Figure 2
S-parameter of rectangular microstrip patch antenna.In this design, the line width of the microstrip line is 0.46 mm, and the characteristic impedance is 50 Ω. Therefore, the input impedance of the patch element needs to be close to 50 Ω. Figure3 is the input impedance of rectangular microstrip patch antenna. From the figure, the input impedance is about 50.34 Ω, which matches well to the characteristic impedance of the microstrip line.Figure 3
The input impedance of rectangular microstrip patch antenna.Figure4 is the gain of rectangular microstrip patch antenna, which shows that the maximum gain of the patch element is 7.93 dB, the 3 dB lobe-width of E-Plane is 76°, and the 3 dB lobe-width of H-plane is 73°. The pattern of the patch is consistent with the theory and the main lobe-width of E-plane is slightly larger than the H-plane.Figure 4
The gain of rectangular microstrip patch antenna.The frequency band width of the microstrip antenna is not enough for the whole system. Therefore, in the following, we will analyze the array antenna to meet the requirements of the frequency bandwidth.


### 2.2. Theoretical Analysis of Series-Fed Array

The second part of MIMO conformal antenna design is the microstrip series-fed array. To get high gain, low sidelobe, beam scanning, and beam control, we need to use the discrete radiating element to form the array according to the appropriate excitation and distance. In this paper, the requirements of the microstrip array are as follows: the gain is 10 dB, the angle between the main lobe and plane of array is not less than 10% (S11<-10 dB), and the first sidelobe level is about −18 dB. The design of microstrip is divided into three steps. The first step is to select the feed method of the linear array, the second step is to realize the offset of the main lobe, and third step is to reduce the first sidelobe level.For the antenna array, the feeding method can be formed with parallel feed and series feed or the combination of the two [18, 19]. In this paper, we use series feed, as shown in Figure 5. The radiating elements are connected through a microstrip line, and the end is open circuit. The first radiating element is fed by a coaxial line. In order to avoid the influence of the microstrip on the antenna radiation, it is necessary to make it as thin as possible.Figure 5
The radiating element connected with a fine line to realize the feeding.The second step is to realize the offset of the main lobe of the antenna pattern. There are typically series-fed traveling-wave array and the series-fed standing wave array. For series-fed traveling-wave array, the distance between radiating elements can be adjusted to achieve the offset of the main lobe. However, in the design of standing wave array with series-feeding, as long as the input impedance of the last radiating element of the array is designed to be consistent with the characteristic impedance of the microstrip line, it can also play a role in impedance matching to achieve the effect of traveling-wave array. This design uses a series of standing wave array, as shown in Figure5. The advantage of this array is that it does not require the addition of terminal load. In the design of the radiating element, the input impedance of the radiating element is designed near the characteristic impedance of the microstrip. Therefore, the radiating element can be regarded as the matched load. We can change the phase relationship between elements by adjusting the distance between them in order to realize the arbitrary beam direction and achieve the effect of the main lobe [20].For the design of a series-fed traveling-wave array, assuming that the main lobe angle from the end fire direction isθ, the relationship between the main lobe direction angle and the radiating element spacing is as follows:(4)cos⁡θ=λλg-λS,where S is the distance between the radiating elements and λg is the effective wavelength in the medium. When the distance S<λg, the main lobe biases feed; otherwise, it biases load. Element spacing S is an important parameter influencing the radiation characteristics of an antenna array. In order to avoid grating lobes, radiating element spacing S needed to meet the following formula:(5)S<λ01+cos⁡θm.Formulas (4) and (5) are for traveling wave. In this paper, the design of the standing wave array can also use these two formulas. The distance between the radiating elements of the standing wave array obtained by the above two formulas is 4.41 mm.The third step is to reduce the sidelobe level. The antenna design is based on 8-element linear array. Because of the need to achieve the main lobe deviation, the distance between the radiating elements is consistent. The sidelobe amplitude can be reduced by controlling the current. The current amplitude distribution design is based on the Taylor distribution [21, 22]. In the comprehensive design of the Taylor, it is necessary to determine the ratio R of the main lobe level to the sidelobe level. The value of A is calculated by R. Under the guarantee of n¯≥2A2+1/2, selecting appropriate n¯ (the value of n¯ increases, the value of σ decreases, and the lobe-width narrows down). The value of n¯ should not be too large; otherwise, the amplitude distribution of the current will change dramatically. After selecting n¯, beam broadening factor σ and current amplitude distribution of each radiating element can be calculated. Ratio of the main lobe level to the sidelobe level is R=-18 dB, n¯=4. The normalized current values of all levels are shown in Table 1.Table 1
Normalized current value of eight-element Taylor array.
Unit number
1
2
3
4
5
6
7
8
Normalized current
0.6
0.63
0.83
1
1
0.83
0.63
0.6There are two methods to change the current amplitude distribution. The first one isλ/4 impedance transformer, and the second is the patch width distribution method. Due to the relatively small spacing of the radiating elements, the λ/4 section cannot be added, so the patch width distribution method is used to change the current amplitude distribution. In fact, the change of current amplitude distribution can be realized by changing the radiation admittance of the element. Firstly, S12 of eight-element Taylor array at all levels should be calculated according to the current distribution. Feeding in this paper is from the center to both ends of the array. Therefore, according to the symmetry, only half of the array needs to be considered where calculating S12. The calculated results are shown in Table 2. According to these values, the width of each radiating element can be adjusted, and the appropriate size can be found to satisfy the current amplitude distribution through simulation and optimization.Table 2
S
12 of eight-element Taylor array.
Unit number
2
3
4
S
12
−3.1792
−2.8252
−2.2721


### 2.3. Simulation and Analysis of Microstrip Series-Fed Linear Array

The model of rectangular array with uniform distribution of one-end feeding is shown in Figure6. XOY plane is the plane of the array. The rectangular microstrip patches with the same shape are used to design the array element. The spacing between patches is the same. First, we adjust the unit spacing to meet the main direction deflection of the beams of the microstrip series-fed linear array. Then, the array is connected to the external 50 ohm coaxial line. Because the impedance of the whole array is not matched to the 50 ohm coaxial line, an impedance transforming section should be added at the front of the array to match the impedance. The length of the section is λg/4. After optimization, the distance between the radiating element and the radiating element is 4.19 mm.Figure 6
Model of rectangular array with uniform distribution of one-end feeding.TheS-parameter of a rectangular array with uniform distribution of one-end feeding is shown in Figure 7. It can be seen from the figure that, at the center frequency 35 GHz, the return loss is −27.7 dB. The relative bandwidth S11<-10 dB can be found from the figure to be 26.14%.Figure 7
S-parameter diagram of a rectangular array with uniform distribution of one-end feeding.The impedance of a rectangular array with uniform distribution of one-end feeding is shown in Figure8. It can be seen that the antenna is well matched at 48.8 Ω.Figure 8
Impedance of a rectangular array with uniform distribution of one-end feeding.TheE-plane gain is shown in Figure 9. The maximum gain is 13.79 dB. The first sidelobe level is −13.2 dB. The main lobe deflection offset is achieved on E-plane, the angle is about 60°, and the 3 dB lobe-width in the E-plane is 16.8°.Figure 9
The gain ofE-plane of a rectangular array with uniform distribution of one-end feeding.The first sidelobe level is higher, which cannot meet the design requirements. We need to find the appropriate spacing between elements to meet the main beam deflection. Then the current distribution is designed to reduce the sidelobe level.In this paper, the Taylor current distribution is used to reduce the sidelobe level. Taylor distribution is usually used in the form of intermediate feed. The spacing between radiation units usually takes one wavelength. As the design needs to achieve main beam offset, the spacing is no longer a wavelength. The feed position is required to be transferred to the center of the array, and the form needs to be adjusted. For an array which makes main beam deviation through changing the spacing between the radiation units, we in fact change the current phase difference between the radiating elements and then the main beam is offset. Considering the current phase difference for the whole array, add serpentine at one side of the array to adjust the phase difference and, at another side of the serpentine, the phase difference of 180 degrees should be added at the beginning of the unit. Then, adjust the current phase difference between the left and right arrays.From the simulation results, we know that the unit spacing which can satisfy the main beam offset is 4.19 mm. The next step is to transfer the feed position to the center of the array, and add serpentine at one side of the array, determine the length of serpentine through the simulation. Before the design of Taylor matrix, we need to design a uniformly distributed rectangular array with intermediate feed to decide the length of serpentine. The design is shown in Figure10; XOY plane is the model plane.Figure 10
A uniformly distributed rectangular array with intermediate feeding.The rectangular microstrip patches with the same shape are used to design the array element. The spacing between antennas is the same. The feed structure of this array is in the middle of the array and is connected to a 50 Ω coaxial line. The design process is similar to that of a rectangular array with uniform distribution at one end of the feed. The design is divided into two parts. As can be seen from Figure10, the left end of the feed is the same as the uniform distribution of one-end feeding. In the right end, serpentine lines are added to realize phase array progression, so as to realize the beam deviation. After the simulation, the length of the serpentine is found to be 6.51 mm.TheS-parameter of a rectangular array with uniform distribution and intermediate feeding is shown in Figure 11. It can be seen from the plot that, at the center frequency of 35 GHz, the return loss is up to −31.87 dB. The relative bandwidth S11<-10 dB can be found to be 21.7%.Figure 11
S-parameter of a rectangular array with uniform distribution with intermediate feeding.The impedance is shown in Figure12. It can be seen from the figure that the antenna is well matched at 51.5 Ω. The gain graph of E-plane is shown in Figure 13. It can be seen from the figure that the maximum gain is 13.36 dB, the first sidelobe level is −13.7 dB, the main beam deflection offset is achieved on E-plane, the angle is about 62°, and the 3 dB lobe-width in the E-plane is 18°.Figure 12
Impedance of a rectangular array with uniform distribution with intermediate feeding.Figure 13
The gain ofE-plane of a rectangular array with uniform distribution with intermediate feeding.The designed array has satisfied the requirement of the main beam offset, but the sidelobe level is still too high. The feeding position is in the middle of the array, which satisfies the design of Taylor distribution. The design of Taylor distribution is carried out based on this array. The model diagram is shown in Figure14; XOY plane is the plane of the array.Figure 14
A rectangular array with Taylor distribution with intermediate feed.The form of the array is the same as that of the middle feed, and there is a difference in the size of the array. The size of the array element is designed according to Taylor current distribution regulationS12 of the elements at all levels which can be obtained from Table 2. By adjusting the radiation edge size of each element, the radiation admittance of each element can be changed, and the corresponding value of the radiation edge size can be obtained.After simulation and optimization, from the feed point to the right, the sizes of radiation side areW1=3.7 mm, W2=3.4 mm, W3=4.1 mm, W4=3.2 mm.TheS-parameter diagram of a rectangular array with Taylor distribution and intermediate feed is shown in Figure 15. It can be seen from the figure that at the center frequency the return loss is very high (21.2 dB at 35 GHz). The relative bandwidth S11<-10 dB can be found from the picture to be 11.6%.Figure 15
S-parameter of a rectangular array with Taylor distribution with intermediate feeding.The impedance is shown in Figure16. It can be seen that the antenna is well matched at 50.1 Ω. The gain graph of E-plane is shown in Figure 17. It can be seen from the figure that the maximum gain is 13.9 dB, the first sidelobe level is −15.6 dB, the main beam deflection offset is achieved on E-plane, the angle is about 60°, and the 3 dB lobe-width in the E-plane is 20°.Figure 16
Impedance of a rectangular array with Taylor distribution with intermediate feeding.Figure 17
The gain ofE-plane of a rectangular array with Taylor distribution with intermediate feeding.Three kinds of arrays are given in this design. The first two arrays actually provide reference for the Taylor distribution matrix. The first array provides an appropriate spacing of the radiating elements. The second one determines the length of the serpentine. The final array form is based on the two arrays to adjust the radiation side of each radiating element to realize the current redistribution. In the array of rectangular patch, the gain is higher in the form of uniform distribution with intermediate feed. The lowest sidelobe level is the Taylor distribution with intermediate feed to reduce the sidelobe. The narrowest beam and the best matched impedance are the uniform distribution with one end of the feed. It can be seen that the reduction of the first sidelobe level is at the expense of width of the main lobe.


## 2.1. Radiation Elements Design

The first part of the MIMO conformal antenna design is the radiation elements. The design uses microstrip patch antenna as radiation elements. There are two main steps in the rectangular microstrip antennas design. The first step is theoretical analysis, and the second step is simulation and optimization.Firstly, we choose dielectric substrate. For microstrip circuit, the loss of the microstrip is very large in the millimeter-wave band. The loss can be divided into dielectric loss, conductor loss, and radiation loss [17]. Substrates with low loss tangent dielectric are usually chosen to reduce the dielectric loss. When the dielectric constant is low, the total loss of the microstrip would not change with the characteristic impedance. On the contrary, when the substrate has high dielectric constant, the loss of the microstrip will change rapidly with the characteristic impedance. Thicker substrate will increase radiation losses and the surface wave is more serious. A smaller height is more effective in suppressing the higher mode and reducing the radiation loss. Additionally, the thinner substrate with good flexibility is good for conformal antenna [18]. Taking these factors into consideration, we use RT/duroid5880 (εr=2.2,tan⁡δ=0.0009) as substrate, and the height of the dielectric substrate is 0.5 mm.Next the widthW of the patch elements is determined. Directivity factor of microstrip antenna, radiation resistance, and other characteristics will vary with the change of W. These characteristics directly affect the frequency bandwidth and radiation efficiency of the antenna. In order to get the desired frequency bandwidth and radiation efficiency, the choice of W is particularly important. The size of the width should meet the following requirement [18]:(1)W≤c2frεr+12-1/2,where c is speed of light and fr is the resonant frequency. In this design, fr is 35 GHz.The next step is to determine the lengthL of the patch elements. The size of unit length L is determined by the effective dielectric constant and the operating frequency. Effective dielectric constant of substrate is defined as εe, which is given by the following [18]:(2)εe=12εr+1+εr-11+12hW-1/2.The lengthL of the rectangular microstrip patch antenna is approximately λg/2 and is given by the following [18]:(3)Δl=0.412εe+0.3W/h+0.264εe-0.258W/h+0.8hL=c2frεe-2Δl.From (1)–(3), W is chosen to be 3.38 mm and L is 2.8 mm.There are three main methods to feed the rectangular microstrip patch. Microstrip line feeding is usually used to design array elements, coaxial feeding is usually used for single microstrip antenna, and the electromagnetic coupling feeding is usually used in the microstrip antenna of double structure [18]. Microstrip patch element designed here is a radiation element in the antenna array, so microstrip is chosen as feeding method.The rectangular microstrip antenna element is shown in Figure1. W and L of the patch element are adjusted during the simulation process. The size of L mainly affects the resonant frequency, and W mainly affects impedance matching. Through simulation and optimization, we get that W=3.32 mm and L=2.45 mm, the width of feed line w=0.46 mm, and the center of the feed line is midpoint of W.Figure 1
The model of rectangular microstrip patch antenna.All simulations are performed using HFSS in the following. Figure2 is S-parameter of rectangular microstrip patch antenna. It can be seen from the figure that return loss has reached −49 dB at 35 GHz. The relative bandwidth for S11<-10 dB can be found from the figure to be 6.6%.Figure 2
S-parameter of rectangular microstrip patch antenna.In this design, the line width of the microstrip line is 0.46 mm, and the characteristic impedance is 50 Ω. Therefore, the input impedance of the patch element needs to be close to 50 Ω. Figure3 is the input impedance of rectangular microstrip patch antenna. From the figure, the input impedance is about 50.34 Ω, which matches well to the characteristic impedance of the microstrip line.Figure 3
The input impedance of rectangular microstrip patch antenna.Figure4 is the gain of rectangular microstrip patch antenna, which shows that the maximum gain of the patch element is 7.93 dB, the 3 dB lobe-width of E-Plane is 76°, and the 3 dB lobe-width of H-plane is 73°. The pattern of the patch is consistent with the theory and the main lobe-width of E-plane is slightly larger than the H-plane.Figure 4
The gain of rectangular microstrip patch antenna.The frequency band width of the microstrip antenna is not enough for the whole system. Therefore, in the following, we will analyze the array antenna to meet the requirements of the frequency bandwidth.


## 2.2. Theoretical Analysis of Series-Fed Array

The second part of MIMO conformal antenna design is the microstrip series-fed array. To get high gain, low sidelobe, beam scanning, and beam control, we need to use the discrete radiating element to form the array according to the appropriate excitation and distance. In this paper, the requirements of the microstrip array are as follows: the gain is 10 dB, the angle between the main lobe and plane of array is not less than 10% (S11<-10 dB), and the first sidelobe level is about −18 dB. The design of microstrip is divided into three steps. The first step is to select the feed method of the linear array, the second step is to realize the offset of the main lobe, and third step is to reduce the first sidelobe level.For the antenna array, the feeding method can be formed with parallel feed and series feed or the combination of the two [18, 19]. In this paper, we use series feed, as shown in Figure 5. The radiating elements are connected through a microstrip line, and the end is open circuit. The first radiating element is fed by a coaxial line. In order to avoid the influence of the microstrip on the antenna radiation, it is necessary to make it as thin as possible.Figure 5
The radiating element connected with a fine line to realize the feeding.The second step is to realize the offset of the main lobe of the antenna pattern. There are typically series-fed traveling-wave array and the series-fed standing wave array. For series-fed traveling-wave array, the distance between radiating elements can be adjusted to achieve the offset of the main lobe. However, in the design of standing wave array with series-feeding, as long as the input impedance of the last radiating element of the array is designed to be consistent with the characteristic impedance of the microstrip line, it can also play a role in impedance matching to achieve the effect of traveling-wave array. This design uses a series of standing wave array, as shown in Figure5. The advantage of this array is that it does not require the addition of terminal load. In the design of the radiating element, the input impedance of the radiating element is designed near the characteristic impedance of the microstrip. Therefore, the radiating element can be regarded as the matched load. We can change the phase relationship between elements by adjusting the distance between them in order to realize the arbitrary beam direction and achieve the effect of the main lobe [20].For the design of a series-fed traveling-wave array, assuming that the main lobe angle from the end fire direction isθ, the relationship between the main lobe direction angle and the radiating element spacing is as follows:(4)cos⁡θ=λλg-λS,where S is the distance between the radiating elements and λg is the effective wavelength in the medium. When the distance S<λg, the main lobe biases feed; otherwise, it biases load. Element spacing S is an important parameter influencing the radiation characteristics of an antenna array. In order to avoid grating lobes, radiating element spacing S needed to meet the following formula:(5)S<λ01+cos⁡θm.Formulas (4) and (5) are for traveling wave. In this paper, the design of the standing wave array can also use these two formulas. The distance between the radiating elements of the standing wave array obtained by the above two formulas is 4.41 mm.The third step is to reduce the sidelobe level. The antenna design is based on 8-element linear array. Because of the need to achieve the main lobe deviation, the distance between the radiating elements is consistent. The sidelobe amplitude can be reduced by controlling the current. The current amplitude distribution design is based on the Taylor distribution [21, 22]. In the comprehensive design of the Taylor, it is necessary to determine the ratio R of the main lobe level to the sidelobe level. The value of A is calculated by R. Under the guarantee of n¯≥2A2+1/2, selecting appropriate n¯ (the value of n¯ increases, the value of σ decreases, and the lobe-width narrows down). The value of n¯ should not be too large; otherwise, the amplitude distribution of the current will change dramatically. After selecting n¯, beam broadening factor σ and current amplitude distribution of each radiating element can be calculated. Ratio of the main lobe level to the sidelobe level is R=-18 dB, n¯=4. The normalized current values of all levels are shown in Table 1.Table 1
Normalized current value of eight-element Taylor array.
Unit number
1
2
3
4
5
6
7
8
Normalized current
0.6
0.63
0.83
1
1
0.83
0.63
0.6There are two methods to change the current amplitude distribution. The first one isλ/4 impedance transformer, and the second is the patch width distribution method. Due to the relatively small spacing of the radiating elements, the λ/4 section cannot be added, so the patch width distribution method is used to change the current amplitude distribution. In fact, the change of current amplitude distribution can be realized by changing the radiation admittance of the element. Firstly, S12 of eight-element Taylor array at all levels should be calculated according to the current distribution. Feeding in this paper is from the center to both ends of the array. Therefore, according to the symmetry, only half of the array needs to be considered where calculating S12. The calculated results are shown in Table 2. According to these values, the width of each radiating element can be adjusted, and the appropriate size can be found to satisfy the current amplitude distribution through simulation and optimization.Table 2
S
12 of eight-element Taylor array.
Unit number
2
3
4
S
12
−3.1792
−2.8252
−2.2721


## 2.3. Simulation and Analysis of Microstrip Series-Fed Linear Array

The model of rectangular array with uniform distribution of one-end feeding is shown in Figure6. XOY plane is the plane of the array. The rectangular microstrip patches with the same shape are used to design the array element. The spacing between patches is the same. First, we adjust the unit spacing to meet the main direction deflection of the beams of the microstrip series-fed linear array. Then, the array is connected to the external 50 ohm coaxial line. Because the impedance of the whole array is not matched to the 50 ohm coaxial line, an impedance transforming section should be added at the front of the array to match the impedance. The length of the section is λg/4. After optimization, the distance between the radiating element and the radiating element is 4.19 mm.Figure 6
Model of rectangular array with uniform distribution of one-end feeding.TheS-parameter of a rectangular array with uniform distribution of one-end feeding is shown in Figure 7. It can be seen from the figure that, at the center frequency 35 GHz, the return loss is −27.7 dB. The relative bandwidth S11<-10 dB can be found from the figure to be 26.14%.Figure 7
S-parameter diagram of a rectangular array with uniform distribution of one-end feeding.The impedance of a rectangular array with uniform distribution of one-end feeding is shown in Figure8. It can be seen that the antenna is well matched at 48.8 Ω.Figure 8
Impedance of a rectangular array with uniform distribution of one-end feeding.TheE-plane gain is shown in Figure 9. The maximum gain is 13.79 dB. The first sidelobe level is −13.2 dB. The main lobe deflection offset is achieved on E-plane, the angle is about 60°, and the 3 dB lobe-width in the E-plane is 16.8°.Figure 9
The gain ofE-plane of a rectangular array with uniform distribution of one-end feeding.The first sidelobe level is higher, which cannot meet the design requirements. We need to find the appropriate spacing between elements to meet the main beam deflection. Then the current distribution is designed to reduce the sidelobe level.In this paper, the Taylor current distribution is used to reduce the sidelobe level. Taylor distribution is usually used in the form of intermediate feed. The spacing between radiation units usually takes one wavelength. As the design needs to achieve main beam offset, the spacing is no longer a wavelength. The feed position is required to be transferred to the center of the array, and the form needs to be adjusted. For an array which makes main beam deviation through changing the spacing between the radiation units, we in fact change the current phase difference between the radiating elements and then the main beam is offset. Considering the current phase difference for the whole array, add serpentine at one side of the array to adjust the phase difference and, at another side of the serpentine, the phase difference of 180 degrees should be added at the beginning of the unit. Then, adjust the current phase difference between the left and right arrays.From the simulation results, we know that the unit spacing which can satisfy the main beam offset is 4.19 mm. The next step is to transfer the feed position to the center of the array, and add serpentine at one side of the array, determine the length of serpentine through the simulation. Before the design of Taylor matrix, we need to design a uniformly distributed rectangular array with intermediate feed to decide the length of serpentine. The design is shown in Figure10; XOY plane is the model plane.Figure 10
A uniformly distributed rectangular array with intermediate feeding.The rectangular microstrip patches with the same shape are used to design the array element. The spacing between antennas is the same. The feed structure of this array is in the middle of the array and is connected to a 50 Ω coaxial line. The design process is similar to that of a rectangular array with uniform distribution at one end of the feed. The design is divided into two parts. As can be seen from Figure10, the left end of the feed is the same as the uniform distribution of one-end feeding. In the right end, serpentine lines are added to realize phase array progression, so as to realize the beam deviation. After the simulation, the length of the serpentine is found to be 6.51 mm.TheS-parameter of a rectangular array with uniform distribution and intermediate feeding is shown in Figure 11. It can be seen from the plot that, at the center frequency of 35 GHz, the return loss is up to −31.87 dB. The relative bandwidth S11<-10 dB can be found to be 21.7%.Figure 11
S-parameter of a rectangular array with uniform distribution with intermediate feeding.The impedance is shown in Figure12. It can be seen from the figure that the antenna is well matched at 51.5 Ω. The gain graph of E-plane is shown in Figure 13. It can be seen from the figure that the maximum gain is 13.36 dB, the first sidelobe level is −13.7 dB, the main beam deflection offset is achieved on E-plane, the angle is about 62°, and the 3 dB lobe-width in the E-plane is 18°.Figure 12
Impedance of a rectangular array with uniform distribution with intermediate feeding.Figure 13
The gain ofE-plane of a rectangular array with uniform distribution with intermediate feeding.The designed array has satisfied the requirement of the main beam offset, but the sidelobe level is still too high. The feeding position is in the middle of the array, which satisfies the design of Taylor distribution. The design of Taylor distribution is carried out based on this array. The model diagram is shown in Figure14; XOY plane is the plane of the array.Figure 14
A rectangular array with Taylor distribution with intermediate feed.The form of the array is the same as that of the middle feed, and there is a difference in the size of the array. The size of the array element is designed according to Taylor current distribution regulationS12 of the elements at all levels which can be obtained from Table 2. By adjusting the radiation edge size of each element, the radiation admittance of each element can be changed, and the corresponding value of the radiation edge size can be obtained.After simulation and optimization, from the feed point to the right, the sizes of radiation side areW1=3.7 mm, W2=3.4 mm, W3=4.1 mm, W4=3.2 mm.TheS-parameter diagram of a rectangular array with Taylor distribution and intermediate feed is shown in Figure 15. It can be seen from the figure that at the center frequency the return loss is very high (21.2 dB at 35 GHz). The relative bandwidth S11<-10 dB can be found from the picture to be 11.6%.Figure 15
S-parameter of a rectangular array with Taylor distribution with intermediate feeding.The impedance is shown in Figure16. It can be seen that the antenna is well matched at 50.1 Ω. The gain graph of E-plane is shown in Figure 17. It can be seen from the figure that the maximum gain is 13.9 dB, the first sidelobe level is −15.6 dB, the main beam deflection offset is achieved on E-plane, the angle is about 60°, and the 3 dB lobe-width in the E-plane is 20°.Figure 16
Impedance of a rectangular array with Taylor distribution with intermediate feeding.Figure 17
The gain ofE-plane of a rectangular array with Taylor distribution with intermediate feeding.Three kinds of arrays are given in this design. The first two arrays actually provide reference for the Taylor distribution matrix. The first array provides an appropriate spacing of the radiating elements. The second one determines the length of the serpentine. The final array form is based on the two arrays to adjust the radiation side of each radiating element to realize the current redistribution. In the array of rectangular patch, the gain is higher in the form of uniform distribution with intermediate feed. The lowest sidelobe level is the Taylor distribution with intermediate feed to reduce the sidelobe. The narrowest beam and the best matched impedance are the uniform distribution with one end of the feed. It can be seen that the reduction of the first sidelobe level is at the expense of width of the main lobe.


## 3. Design of Conformal Arrays

The conformal array is designed in the third part of the MIMO conformal antenna, and the conformal carrier is the cylinder with a diameter of 60 mm [23].The center frequency of the design is 35 GHz, and the dielectric substrate with relative dielectric constantεr=2.2 is selected. Thickness of the substrate is 0.5 mm. According to the design of the radiation unit, the size of the microstrip patch antenna is only about 3 mm. The curvature of 60 mm cylindrical diameter is smaller than the microstrip patch antenna. So the antenna can be regarded as a planar antenna and analyzed by the theory of planar antenna. The design needs to achieve a specific beam direction, which is 60° to the conformal vector axis, and can be realized by conformal array. According to the analysis of the series-feed array, the microstrip patch antenna can be composed of a series-feed array to achieve such a beam direction. It can be realized by adjusting the spacing between the elements. The low sidelobe can be realized by the Taylor synthesis method. The distribution current of the antenna array is tapered to reduce the sidelobe level.The microstrip antenna conformal array is shown in Figure18.Figure 18
The microstrip antenna conformal array.Through simulation and optimization, the radiation characteristic of microstrip antenna array is obtained. TheS-parameter is shown in Figure 19. The return loss of the conformal array is down to 14 dB at 35 GHz. The relative bandwidth of S11<-10 dB can be calculated to be 11.8%.Figure 19
S-parameter of conformal microstrip antenna array.The input impedance of the array is shown in Figure20. It can be seen that the whole antenna is matched to 45 Ω. The gain of E-plane microstrip antenna conformal array is shown in Figure 21. It can be seen that the maximum gain of the array is 13.3 dB, and the first sidelobe level is −16 dB. The E-plane realized the main beam offset. The offset angle is about 62°. The 3 dB beam width of E plane is 18.2°.Figure 20
Input impedance of conformal microstrip antenna array.Figure 21
Gain ofE-plane of conformal microstrip antenna array.We fabricated a pair of 8-element series-fed conformal antenna array, as shown in Figure22. The analysis and test results are compared.Figure 22
Eight-element series-fed conformal antenna array.S-parameters are shown in Figure 23. It can be seen from the results of the S-parameters of the antenna that the resonance point of the measurement and simulation is consistent. The measurement results of the antenna relative bandwidth is about 11%, which is slightly less than the simulation results.Figure 23
Comparison ofS-parameters and simulation results of the 8-element series-feed conformal antenna array.The comparison of measurement results and simulation results of normalized pattern ofE plane is shown in Figure 24. It can be seen that the radiation plot of E-plane achieves the main beam offset. The angle is about 62° and this meets the requirements. The first sidelobe level rose to −14 dB. The 3 dB lobe-width of E-plane is about 17°. The measurement results are in good agreement with the simulation results.Figure 24
Comparison of the measurement and simulation results of theE surface orientation of the 8-element series-fed conformal antenna array.The gain measurement is performed by comparing to a standard horn antenna. The gain of the antenna is 12.2 dB.


## 4. Coupling Analysis of 5G MIMO Conformal Antenna

It is also very important to decide the number of the antennas in the design of MIMO conformal antenna. Antenna coupling has significant impact on radiation pattern. When using multiple antennas, the cross coupling between the antennas should be discussed and the coupling needs to be minimized. The main factor that affects the coupling is the distance between antennas. The closer the distance between antennas, the stronger the coupling. Therefore, we should find the appropriate antenna spacing to meet the performance requirement of the antenna coupling. At the same time, this determines the maximum number of antennas [24]. For conformal system, the diameter of the conformal carrier is 60 mm. The carrier space is limited, so the number of RF circuits is limited. At the same time, too many RF circuits will increase the cost of the system. Therefore, the number of antennas needs to be determined by considering these factors.As we know, the energy of array antenna can be coupled by space wave or surface wave, when the coupling level is greater than −20 dB, the performance of the antenna will be greatly affected [25]. In this design, each antenna is used as an independent antenna, so the requirement of coupling between the antennas is low, and the coupling between antennas is −40 dB. Through simulation and optimization, we find that when the number of the antennas is eight, it can meet the requirement of the coupling of antenna to be less than −40 dB. Eight antenna arrays can be placed on the conformal carrier. Actually we cannot put so many antennas. First of all, to consider the cost of the RF circuit, eight arrays of antennas require eight RF links. Secondly, to consider the volume of the conformal carrier, not more than four radio frequency links can be placed in this limited space. Therefore this design uses four arrays. Combined with the spatial symmetry of the antenna, the four pairs of antennas are distributed with equal distance in the conformal cylindrical carrier. The simulation model is shown in Figure 25.Figure 25
MIMO radar conformal antenna.TheS-parameters of the first antenna in the MIMO radar conformal antenna are shown in Figure 26. It can be seen from the figure that the antenna's reflection parameters are −21.5 dB. Considering the coupling of antennas, it is clear that the cross coupling satisfies the requirements of −40 dB.Figure 26
S-parameters of MIMO conformal antenna 1.The radiation plot of the first antenna in the MIMO radar conformal antenna is shown in Figure27. It can be seen from the figure that, by considering the coupling effects, the first sidelobe level has been significantly improved to −11.5 dB. This is consistent with the theoretical analysis.Figure 27
Gain ofE-plane MIMO conformal antenna 1.The fabricated conformal antenna with 4 arrays of antennas is shown in Figure28.Figure 28
Planar expansion of four pairs conformal microstrip antenna.


## 5. Conclusion

In this paper, in order to meet the requirements of the antenna system, an 8-cell series-fed microstrip standing wave antenna array by traveling-wave theory has been designed in Ka band (35 GHz). The deflection of the main lobe and the plane of array is realized by adjusting the spacing between the elements. At the same time, the Taylor distribution is used for the antenna synthesis, and the first sidelobe level is reduced by controlling the current amplitude of the unit. Next, MIMO conformal antenna at 35 GHz is designed. The bandwidth of antenna is greater than 10%, the gain is greater than 10 dB, and the first sidelobe level is reduced to −16 dB. The angle between the main lobe and the carrier axis is 60°. The measurement results agree well with the simulation results, which meet the requirements of the system to the antenna performance. Considering the cost of system, space limitation, and antenna coupling, we design four 8-cell series-fed microstrip standing wave antenna arrays. The four antenna arrays are evenly distributed on the conformal of carrier, and the cross coupling of the antenna is lower than −40 dB.



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*Source: 7616825-2017-12-17.xml*