# Mutual Coupling Reduction of E-Shaped MIMO Antenna with Matrix of C-Shaped Resonators

Authors: Raghad Ghalib Saadallah Alsultan; Gölge Ögücü Yetkin
Journal: International Journal of Antennas and Propagation
 (2018)

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## Abstract

E-shaped multiple-input-multiple-output (MIMO) microstrip antenna systems operating in WLAN and WiMAX bands (between 5 and 7.5 GHz) are proposed with enhanced isolation features. The systems are comprised of two antennas that are placed parallel and orthogonal to each other, respectively. According to the simulation results, the operating frequency of the MIMO antenna system is 6.3 GHz, and mutual coupling is below −18 dB in a parallel arrangement, whereas they are 6.4 GHz and −25 dB, respectively, in the orthogonal arrangement. The 2 × 3 matrix of C-shaped resonator (CSR) is proposed and placed between the antenna elements over the substrate, to reduce the mutual coupling and enhance the isolation between the antennas. More than 30 dB isolation between the array elements is achieved at the resonant frequency for both of the configurations. The essential parameters of the MIMO array such as mutual coupling, surface current distribution, envelop correlation coefficient (ECC), diversity gain (DG), and the total efficiency have been simulated to verify the reliability and the validity of the MIMO system in both parallel and orthogonal configurations. The experimental results are also provided and compared for the mutual coupling with simulated results. An adequate match between the measured and simulated results is achieved.


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## Body

## 1. Introduction

The current wireless communication systems have to fulfill the demands such as high data rates, increased capacity, high quality, and high reliability for different applications. Multiple-input-multiple-output (MIMO) systems provide the suitable technology for these requirements without the necessity of additional bandwidth or transmit power by spreading multiple antennas, with sufficient element spacing, the correct number of elements, and appropriate array geometry or topology [1–3]. In its simplest form, the use of multiple antennas is known as spatial diversity, and the element spacing factor affects the overall performance of the system. In cases where there are limitations of the size and the cost, the spacing between the antennas is insufficient, and this results in mutual coupling, which may influence an impairment of their radiation patterns and changes in the input impedances. Therefore, the isolation between the antennas becomes a crucial task.Various methods have been studied and analyzed for suppression of mutual coupling and improvement of the isolation between the antennas, including the neutralization technique [4, 5], using electromagnetic band gap (EBG) structures [6–8] or etching slots or slits from the ground and forming defected ground structures (DGSs) [9, 10]. In neutralization technique, an additional coupling is introduced by connecting the two antennas with a thin metal strip. This additional coupling cancels out the coupling between the antennas by properly adjusting the length of the metal strip, and the isolation between the two input ports can be significantly enhanced. In the DGS method, even if the DGS adds an extra degree of freedom in the design, the removal of the metal strip from the PEC or some portions of the substrate require precise micromachining techniques, and otherwise, performance degradation can occur. Also, the DGS itself is a slot antenna, which causes an increase in backlobe radiation.In this work, two E-shaped MIMO antenna systems 41 × 100 mm2 are presented. The mutual coupling is reduced by placing the EBG metamaterial structure consists of a 2 × 3 matrix of C-shaped resonator (CSR) between the antenna elements. The same 2 × 3 CSR matrix has been placed and examined between the two antennas, in both cases when the two antennas are in a parallel or orthogonal configuration. The CSR’s effective permittivity and permeability are also provided and obtained by the use of Nicholson-Ross-Weir (NRW) method [11]. It is showing that the proposed structure possesses a wideband metamaterial behaviour.


## 2. Antenna Design and Decoupling Structure

### 2.1. Antenna Design

Since the goal is to deal only with the mutual coupling mechanism, a simple MIMO system consisting of two E-shaped monopole antennas has been chosen to demonstrate the capability of the approach in this paper. The antennas are placed in parallel and operating between 5 and 7.5 GHz as shown in Figure1(a). The size of each antenna is chosen such that the system resonates at 6.3 GHz, providing an impedance bandwidth of 34.42% as shown in Figure 1(b). The antennas are placed on FR4 substrate having a dielectric constant εr=4.3 with a loss tangent of 0.025 and thickness h=1.6 mm. The separation between the antenna elements is d=0.42λo. All other dimensions are given in Table 1.Figure 1
(a) The proposed MIMO system and (b)S-parameters.
(a)
(b)Table 1
Dimensions of the parameters of the MIMO antenna system.
Parameter
Ws
Ls
W1
W2
Wf
L1
L2
L3
Lf
a
b
c
c1
g
d
Dimension (mm)
100
41
19
11
3
11
20
11
10
9
11
10
2
2
20A prototype of this antenna system is shown in Figure2. It is tested by using an HP8720D network analyzer. Figure 3 shows the comparison between simulated and measured S-parameters’ results of the proposed MIMO system. It is noticed that there is little difference between the simulation and measurement results. This difference can be considered acceptable as long as its effect on the resonant frequency is not high and the frequency band does not shift much. The discrepancies are mostly due to the insertion loss of SMA connectors, surrounding environment that influences on wave reflection, or the fabrication tolerances. As can also be observed from Figure 3, the coupling between the antennas is about 18 dB in simulation and 16 dB in measurements. To reduce this coupling and increase the isolation, the CSRs, whose design procedure will be explained in the next section, are used.Figure 2
Fabricated antenna.Figure 3
Comparison between the simulated and the measuredS-parameter results.


### 2.2. Analysis of the Unit Cell

Figure4(a) shows the 3D view of the geometrical configuration of the proposed unit cell of CSR. The CSR unit cell can be modelled by an equivalent circuit using a capacitor and an inductor element. In this case, the gap in CSR can be represented by a capacitor C while the C-shaped strip can be represented by the inductor L as shown in Figure 4(b) [12]. Cm denotes the coupling to the next element of the array of CSRs. The dimensions of the unit cell are given in Table 2. The model of the structure is first designed and tested on an FR4 substrate with a relative dielectric constant of 4.3 and a thickness of 1.6 mm as shown in Figure 5(a).Figure 4
The unit cell of CSR structure. (a) 3D view of the unit cell. (b) The equivalent circuit of the CSR.
(a)
(b)Table 2
Dimension of unit cell.
Parameter
L
Rin
Ro
g
h
Dimension (mm)
8
1.8
3
3.6
1.6Figure 5
(a) 2 × 3 matrix of MTM-CSR, (b) effective permittivity, (c) and effective permeability.
(a)
(b)
(c)It is obvious that the placement of a sheet of resonators of infinite extension between the two antennas is not possible. Therefore, the designed structure consisting of a 2 × 3 matrix of CSR is studied. To investigate the characteristic properties such as the effective permittivity and effective permeability of this matrix, the Nicolson-Ross-Weir (NRW) method is used [11]. The effective permittivity and permeability can be written as follows:
(1)ε=kk01−Γ1+Γ,μ=kk01+Γ1−Γ,where k0 is the propagation constant of free space. Here,
(2)Γ=S112+S212+12S112±S112+S212+12S1122−1.The sign is chosen such thatΓ<1. The results are provided in Figure 5(b), and it is observed that 2 × 3 matrix of CSR structure exhibits negative permittivity and negative permeability in the frequency band of interest around the operation frequency. So this structure can be considered as a double-negative (DNG) medium. This metamaterial property of the 2 × 3 matrix of CSR structure has the ability to suppress the surface waves and the space waves (which are considered to be two significant sources to enhance the coupling between the closely antennas), by impeding wave propagation in the area between the MIMO antenna elements.


## 2.1. Antenna Design

Since the goal is to deal only with the mutual coupling mechanism, a simple MIMO system consisting of two E-shaped monopole antennas has been chosen to demonstrate the capability of the approach in this paper. The antennas are placed in parallel and operating between 5 and 7.5 GHz as shown in Figure1(a). The size of each antenna is chosen such that the system resonates at 6.3 GHz, providing an impedance bandwidth of 34.42% as shown in Figure 1(b). The antennas are placed on FR4 substrate having a dielectric constant εr=4.3 with a loss tangent of 0.025 and thickness h=1.6 mm. The separation between the antenna elements is d=0.42λo. All other dimensions are given in Table 1.Figure 1
(a) The proposed MIMO system and (b)S-parameters.
(a)
(b)Table 1
Dimensions of the parameters of the MIMO antenna system.
Parameter
Ws
Ls
W1
W2
Wf
L1
L2
L3
Lf
a
b
c
c1
g
d
Dimension (mm)
100
41
19
11
3
11
20
11
10
9
11
10
2
2
20A prototype of this antenna system is shown in Figure2. It is tested by using an HP8720D network analyzer. Figure 3 shows the comparison between simulated and measured S-parameters’ results of the proposed MIMO system. It is noticed that there is little difference between the simulation and measurement results. This difference can be considered acceptable as long as its effect on the resonant frequency is not high and the frequency band does not shift much. The discrepancies are mostly due to the insertion loss of SMA connectors, surrounding environment that influences on wave reflection, or the fabrication tolerances. As can also be observed from Figure 3, the coupling between the antennas is about 18 dB in simulation and 16 dB in measurements. To reduce this coupling and increase the isolation, the CSRs, whose design procedure will be explained in the next section, are used.Figure 2
Fabricated antenna.Figure 3
Comparison between the simulated and the measuredS-parameter results.


## 2.2. Analysis of the Unit Cell

Figure4(a) shows the 3D view of the geometrical configuration of the proposed unit cell of CSR. The CSR unit cell can be modelled by an equivalent circuit using a capacitor and an inductor element. In this case, the gap in CSR can be represented by a capacitor C while the C-shaped strip can be represented by the inductor L as shown in Figure 4(b) [12]. Cm denotes the coupling to the next element of the array of CSRs. The dimensions of the unit cell are given in Table 2. The model of the structure is first designed and tested on an FR4 substrate with a relative dielectric constant of 4.3 and a thickness of 1.6 mm as shown in Figure 5(a).Figure 4
The unit cell of CSR structure. (a) 3D view of the unit cell. (b) The equivalent circuit of the CSR.
(a)
(b)Table 2
Dimension of unit cell.
Parameter
L
Rin
Ro
g
h
Dimension (mm)
8
1.8
3
3.6
1.6Figure 5
(a) 2 × 3 matrix of MTM-CSR, (b) effective permittivity, (c) and effective permeability.
(a)
(b)
(c)It is obvious that the placement of a sheet of resonators of infinite extension between the two antennas is not possible. Therefore, the designed structure consisting of a 2 × 3 matrix of CSR is studied. To investigate the characteristic properties such as the effective permittivity and effective permeability of this matrix, the Nicolson-Ross-Weir (NRW) method is used [11]. The effective permittivity and permeability can be written as follows:
(1)ε=kk01−Γ1+Γ,μ=kk01+Γ1−Γ,where k0 is the propagation constant of free space. Here,
(2)Γ=S112+S212+12S112±S112+S212+12S1122−1.The sign is chosen such thatΓ<1. The results are provided in Figure 5(b), and it is observed that 2 × 3 matrix of CSR structure exhibits negative permittivity and negative permeability in the frequency band of interest around the operation frequency. So this structure can be considered as a double-negative (DNG) medium. This metamaterial property of the 2 × 3 matrix of CSR structure has the ability to suppress the surface waves and the space waves (which are considered to be two significant sources to enhance the coupling between the closely antennas), by impeding wave propagation in the area between the MIMO antenna elements.


## 3. Measurements and Results

### 3.1. Parallel Configuration

In this section, the proposed decoupling technique is utilized to enhance the isolation between MIMO antennas by placing a 2 × 3 matrix of the CSR structure as shown in Figure6(a). The CSR matrix can block the surface waves inside the substrate of the antenna and guide them in another direction by creating an indirect signal with the additional coupling path that opposes the signal going directly from element to element. It is known that if the two waves have comparable amplitudes, then the two waves add up destructively resulting in the suppression of mutual coupling [13]. It is evident from the simulation results in Figure 6(b) that the proposed technique achieves a reduction in mutual coupling and results in an isolation of 30 dB with an improvement in the isolation about 12 dB at the resonant frequency.Figure 6
(a) MIMO system antennas with CSR matrix structure. (b) SimulatedS-parameters with and without CSR matrix structure.
(a)
(b)The prototype of the antenna system is printed as shown in Figure7. The comparison between the measured S-parameters of the proposed MIMO system with and without MTM-CSR matrix structure is shown in Figure 8, and it is observed that there is an improvement in S21 with the MTM-CSR matrix structure from 16 dB to 26 dB. Figure 9 shows the simulated and measured S-parameters with the MTM-CSR matrix structure of the proposed MIMO system, where there is a good match between the results.Figure 7
Fabricated antenna.Figure 8
Comparison between measuredS-parameters of the proposed MIMO system with and without CSR matrix structure.Figure 9
Comparison between simulated and measuredS-parameters with the CSR matrix structure of the proposed MIMO system.The influence of decoupling can be observed by visualizing the surface current plots on the antenna array without CSR matrix structure; strong surface current can be observed on the patch antenna on the right-hand side when the patch antenna on the left is excited as shown in Figure10(a). The surface current is suppressed by the introduction of CSR matrix structure in the middle of antennas as shown in Figure 10(b). The surface current caused by mutual coupling is suppressed by placing the metamaterial decoupling structure. The envelope correlation coefficient (ECC) is a metric that affords essential knowledge about the performance of the array for MIMO systems. The lower the correlation, the higher data throughput can be supported by the MIMO antenna. It is viewed as that antenna with a correlation coefficient under 0.7 has the ability to provide a rich diversity performance [14]. The ECC can be calculated from S-parameters as given below [14]:
(3)ρe=S11∗S12+S21∗S221−S112−S2121−S222−S1222.Figure 10
Surface current distribution (a) without CSR matrix structure (b) and with CSR matrix structure.The ECC is calculated for MIMO system, without and with MTM-CSR matrix structure and is plotted in Figure11. From the plot, it can be noted that the ECC is under 0.0001, which means there is a good isolation between the two antennas in the MIMO system. The diversity gain (DG) is another critical parameter that must be taken into account while evaluating the MIMO performance since it gives an idea about the reliability of the MIMO system. The DG has been calculated using the mathematical expression [14]:
(4)DG=1−ρ210.Figure 11
ECC of MIMO system with and without MTM-CSR matrix structure.The higher the value of diversity, the better the isolation and vice versa. As observed from Figure12, there is an improvement in the DG with MTM-CSR matrix. The DG of the proposed system with MTM-CSR matrix approaches about 9.99 dB within the frequency band. Finally, Figure 13 describes the simulated total efficiency of the MIMO array when the antennas are in the parallel configuration in the absence and presence of the decoupling structure MTM-CSR matrix. It is apparent that the total efficiency shows an improvement within the operating frequency band of the antennas in the presence of the proposed decoupling structures.Figure 12
Diversity gain of the MIMO antenna with and without MTM-CSR matrix structure.Figure 13
Simulated total efficiency of whole antenna system with and without MTM-CSR matrix structure.


### 3.2. Orthogonal Configuration

The performance of a MIMO system can also be improved by using the antennas with the same gain in a given direction, but with orthogonal polarization, which is known as polarization diversity. In order to study this concept, the antenna elements are placed such that they have orthogonal polarizations as given in Figure14(a). The same 2 × 3 matrix of MTM-CSR is placed between the antennas as shown in Figure 14(b). However, these antennas have been redesigned to adapt the changes in substrate and after that optimized to reduce their dimensions as compared with those presented.Figure 14
The proposed MIMO system in orthogonal configuration, (a) without CSR matrix structure, (b) and with CSR matrix structure.
(a)
(b)Figure15 presents the simulation results for the S-parameters with and without the MTM-CSR matrix structure. The mutual coupling without CSR matrix structure is now about 26 dB and appears to be lower than that of the structure in Figure 1(b). As seen from this figure, the proposed technique achieves a reduction in mutual coupling up to 30 dB, which improves the isolation between antenna elements.Figure 15
Comparison between simulatedS-parameters with and without CSR matrix structure.Figure16 shows the prototype MIMO system in an orthogonal configuration with and without CSR structure. Figure 17 shows the comparison between the measured S-parameters with and without CSR structure, and Figure 18 shows the simulated and measured S-parameters with CSR structure. It is seen that there is a good match between the results.Figure 16
Fabricated antenna in orthogonal configuration (a) without and (b) with CSR structure.Figure 17
Comparison of the measuredS-parameters of the modified MIMO system with and without CSR structure.Figure 18
Comparison of the simulated and measuredS-parameters with the CSR structure of the proposed MIMO system.By analyzing the surface current distribution, the mechanism of CSR matrix structure can be more understandable. The mutual coupling between the two antenna elements in a MIMO system is related to the current direction that flows on the surface of the antennas. If the current flows in the same direction on the adjacent sides of both the antennas, the mutual coupling increases. Similarly, if the currents are in the opposite direction, the induced mutual coupling is suppressed. The surface waves can clearly be observed in Figure19(a) without CSR matrix structure. Figure 19(b) shows that the induced surface current can be suppressed on the other element, which decreases the mutual coupling when the CSR matrix structure is inserted between antenna elements.Figure 19
Surface current distribution (a) without and (b) with CSR matrix structure.To evaluate the orthogonal MIMO system performance in terms of correlation and reliability, the ECC and DG were calculated using (3) and (4) which mentioned previously. Figure 20 shows the ECC with and without MTM-CSR matrix. It is evident that ECC lower than 0.001 in both cases is pretty good, while Figure 21 shows the DG. It is clear that the DG reaches 9.99 in both cases (with and without MTM-CSR matrix) within the frequency band. This confirms that the maximum diversity gain is obtained when the correlation coefficient is zero. Hence, the system could be classified as a high-efficiency system with good diversity performance.Figure 20
ECC of orthogonal MIMO system with and without MTM-CSR matrix structure.Figure 21
DG of the orthogonal MIMO system with and without MTM-CSR matrix structure.Figure22 demonstrates the simulated total efficiency of the MIMO array when the antennas are in an orthogonal configuration with and without decoupling structure MTM-CSR matrix. It is evident that the total efficiency exhibits an enhancement across the operating frequency band of the antennas in the presence of the proposed decoupling structures.Figure 22
Simulated total efficiency of a whole antenna system with and without MTM-CSR matrix structure.To examine the influence of the decoupling structure on the radiation pattern of the antennas, the left patch antenna was excited, and the right patch was terminated with 50 Ω impedance in Figures1, 6, 14(a), and 14(b). The proposed MIMO system is placed in x-y plane. Figure 23 illustrates the simulated E-plane and H-plane of the radiation pattern of the E-shaped MIMO antenna system in a parallel configuration with and without placing CSR matrix structure between the antennas. Finally, the radiation pattern of the proposed system in an orthogonal configuration for the left and the right E-shaped MIMO antennas is shown in Figure 24. It is observed that the decoupling structure has little effect on the radiation pattern of the antenna system, which is the desired result.Figure 23
Radiation pattern of the E-shaped MIMO antenna system in parallel configuration: (a) E-plane and (b) H-plane.
(a)
(b)Figure 24
The radiation pattern of the E-shaped MIMO antenna system in the orthogonal configuration: (a) E-plane and H-plane for the left and (b) E-plane and H-plane for the right E-shaped antennas.
(a)
(b)


## 3.1. Parallel Configuration

In this section, the proposed decoupling technique is utilized to enhance the isolation between MIMO antennas by placing a 2 × 3 matrix of the CSR structure as shown in Figure6(a). The CSR matrix can block the surface waves inside the substrate of the antenna and guide them in another direction by creating an indirect signal with the additional coupling path that opposes the signal going directly from element to element. It is known that if the two waves have comparable amplitudes, then the two waves add up destructively resulting in the suppression of mutual coupling [13]. It is evident from the simulation results in Figure 6(b) that the proposed technique achieves a reduction in mutual coupling and results in an isolation of 30 dB with an improvement in the isolation about 12 dB at the resonant frequency.Figure 6
(a) MIMO system antennas with CSR matrix structure. (b) SimulatedS-parameters with and without CSR matrix structure.
(a)
(b)The prototype of the antenna system is printed as shown in Figure7. The comparison between the measured S-parameters of the proposed MIMO system with and without MTM-CSR matrix structure is shown in Figure 8, and it is observed that there is an improvement in S21 with the MTM-CSR matrix structure from 16 dB to 26 dB. Figure 9 shows the simulated and measured S-parameters with the MTM-CSR matrix structure of the proposed MIMO system, where there is a good match between the results.Figure 7
Fabricated antenna.Figure 8
Comparison between measuredS-parameters of the proposed MIMO system with and without CSR matrix structure.Figure 9
Comparison between simulated and measuredS-parameters with the CSR matrix structure of the proposed MIMO system.The influence of decoupling can be observed by visualizing the surface current plots on the antenna array without CSR matrix structure; strong surface current can be observed on the patch antenna on the right-hand side when the patch antenna on the left is excited as shown in Figure10(a). The surface current is suppressed by the introduction of CSR matrix structure in the middle of antennas as shown in Figure 10(b). The surface current caused by mutual coupling is suppressed by placing the metamaterial decoupling structure. The envelope correlation coefficient (ECC) is a metric that affords essential knowledge about the performance of the array for MIMO systems. The lower the correlation, the higher data throughput can be supported by the MIMO antenna. It is viewed as that antenna with a correlation coefficient under 0.7 has the ability to provide a rich diversity performance [14]. The ECC can be calculated from S-parameters as given below [14]:
(3)ρe=S11∗S12+S21∗S221−S112−S2121−S222−S1222.Figure 10
Surface current distribution (a) without CSR matrix structure (b) and with CSR matrix structure.The ECC is calculated for MIMO system, without and with MTM-CSR matrix structure and is plotted in Figure11. From the plot, it can be noted that the ECC is under 0.0001, which means there is a good isolation between the two antennas in the MIMO system. The diversity gain (DG) is another critical parameter that must be taken into account while evaluating the MIMO performance since it gives an idea about the reliability of the MIMO system. The DG has been calculated using the mathematical expression [14]:
(4)DG=1−ρ210.Figure 11
ECC of MIMO system with and without MTM-CSR matrix structure.The higher the value of diversity, the better the isolation and vice versa. As observed from Figure12, there is an improvement in the DG with MTM-CSR matrix. The DG of the proposed system with MTM-CSR matrix approaches about 9.99 dB within the frequency band. Finally, Figure 13 describes the simulated total efficiency of the MIMO array when the antennas are in the parallel configuration in the absence and presence of the decoupling structure MTM-CSR matrix. It is apparent that the total efficiency shows an improvement within the operating frequency band of the antennas in the presence of the proposed decoupling structures.Figure 12
Diversity gain of the MIMO antenna with and without MTM-CSR matrix structure.Figure 13
Simulated total efficiency of whole antenna system with and without MTM-CSR matrix structure.


## 3.2. Orthogonal Configuration

The performance of a MIMO system can also be improved by using the antennas with the same gain in a given direction, but with orthogonal polarization, which is known as polarization diversity. In order to study this concept, the antenna elements are placed such that they have orthogonal polarizations as given in Figure14(a). The same 2 × 3 matrix of MTM-CSR is placed between the antennas as shown in Figure 14(b). However, these antennas have been redesigned to adapt the changes in substrate and after that optimized to reduce their dimensions as compared with those presented.Figure 14
The proposed MIMO system in orthogonal configuration, (a) without CSR matrix structure, (b) and with CSR matrix structure.
(a)
(b)Figure15 presents the simulation results for the S-parameters with and without the MTM-CSR matrix structure. The mutual coupling without CSR matrix structure is now about 26 dB and appears to be lower than that of the structure in Figure 1(b). As seen from this figure, the proposed technique achieves a reduction in mutual coupling up to 30 dB, which improves the isolation between antenna elements.Figure 15
Comparison between simulatedS-parameters with and without CSR matrix structure.Figure16 shows the prototype MIMO system in an orthogonal configuration with and without CSR structure. Figure 17 shows the comparison between the measured S-parameters with and without CSR structure, and Figure 18 shows the simulated and measured S-parameters with CSR structure. It is seen that there is a good match between the results.Figure 16
Fabricated antenna in orthogonal configuration (a) without and (b) with CSR structure.Figure 17
Comparison of the measuredS-parameters of the modified MIMO system with and without CSR structure.Figure 18
Comparison of the simulated and measuredS-parameters with the CSR structure of the proposed MIMO system.By analyzing the surface current distribution, the mechanism of CSR matrix structure can be more understandable. The mutual coupling between the two antenna elements in a MIMO system is related to the current direction that flows on the surface of the antennas. If the current flows in the same direction on the adjacent sides of both the antennas, the mutual coupling increases. Similarly, if the currents are in the opposite direction, the induced mutual coupling is suppressed. The surface waves can clearly be observed in Figure19(a) without CSR matrix structure. Figure 19(b) shows that the induced surface current can be suppressed on the other element, which decreases the mutual coupling when the CSR matrix structure is inserted between antenna elements.Figure 19
Surface current distribution (a) without and (b) with CSR matrix structure.To evaluate the orthogonal MIMO system performance in terms of correlation and reliability, the ECC and DG were calculated using (3) and (4) which mentioned previously. Figure 20 shows the ECC with and without MTM-CSR matrix. It is evident that ECC lower than 0.001 in both cases is pretty good, while Figure 21 shows the DG. It is clear that the DG reaches 9.99 in both cases (with and without MTM-CSR matrix) within the frequency band. This confirms that the maximum diversity gain is obtained when the correlation coefficient is zero. Hence, the system could be classified as a high-efficiency system with good diversity performance.Figure 20
ECC of orthogonal MIMO system with and without MTM-CSR matrix structure.Figure 21
DG of the orthogonal MIMO system with and without MTM-CSR matrix structure.Figure22 demonstrates the simulated total efficiency of the MIMO array when the antennas are in an orthogonal configuration with and without decoupling structure MTM-CSR matrix. It is evident that the total efficiency exhibits an enhancement across the operating frequency band of the antennas in the presence of the proposed decoupling structures.Figure 22
Simulated total efficiency of a whole antenna system with and without MTM-CSR matrix structure.To examine the influence of the decoupling structure on the radiation pattern of the antennas, the left patch antenna was excited, and the right patch was terminated with 50 Ω impedance in Figures1, 6, 14(a), and 14(b). The proposed MIMO system is placed in x-y plane. Figure 23 illustrates the simulated E-plane and H-plane of the radiation pattern of the E-shaped MIMO antenna system in a parallel configuration with and without placing CSR matrix structure between the antennas. Finally, the radiation pattern of the proposed system in an orthogonal configuration for the left and the right E-shaped MIMO antennas is shown in Figure 24. It is observed that the decoupling structure has little effect on the radiation pattern of the antenna system, which is the desired result.Figure 23
Radiation pattern of the E-shaped MIMO antenna system in parallel configuration: (a) E-plane and (b) H-plane.
(a)
(b)Figure 24
The radiation pattern of the E-shaped MIMO antenna system in the orthogonal configuration: (a) E-plane and H-plane for the left and (b) E-plane and H-plane for the right E-shaped antennas.
(a)
(b)


## 4. Conclusion

In this work, two E-shaped antenna MIMO systems suitable for WLAN and WiMAX applications with enhanced isolation are proposed. The motive of this work is to suppress the mutual coupling between the antenna elements using metamaterial structure. This MIMO antenna system resonates at 6.3 GHz with an impedance bandwidth of 34.42% in the range of frequencies from 5–7.5 GHz. The coupling reduction has been achieved by printing a 2 × 3 MTM-CSR matrix between array elements. This structure can block the surface waves inside the substrate of the antenna and guide them in another direction. The mutual coupling in the E-shaped MIMO antenna system is investigated with and without the 2 × 3 CSR matrix in both configurations, parallel and orthogonal antenna arrangement. The isolation of MIMO antennas with 2 × 3 MTM-CSR decoupling structure is shown to improve about 12 dB, whereas it is improved in orthogonal arrangement around 6 dB and maintaining the overall mutual coupling less than −20 dB in the operating band.



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*Source: 4814176-2018-02-18.xml*