# Design of a MIMO Antenna with Improved Isolation Using MNG Metamaterial

Authors: Youngki Lee; Deukhyeon Ga; Jaehoon Choi
Journal: International Journal of Antennas and Propagation
 (2012)

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## Abstract

A multi-input multi-output (MIMO) antenna with improved isolation using an interdigital split ring resonator (SRR) is proposed. The necessary impedance bandwidth is obtained by utilizing the coupling between the meander strip and an invertedL strip. Using interdigital SRR, a negative permeability was generated, while achieving improved isolation between the two radiating elements. The fabricated antenna satisfies the 10 dB return loss in the long-term evolution (LTE) band 40 from 2.3 GHz to 2.4 GHz. The measured peak gains of the two elements were 2.0 dBi and 1.3 dBi. The measured envelope correlation coefficient was less than 0.16 over the frequency band of interest.


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## Body

## 1. Introduction

Current wireless communication systems require higher bit-rate transmission to support various multimedia services. A multi-input multi-output (MIMO) system is regarded as a promising solution, to the problem of data rate transmission since it can increase the channel capacity without sacrificing spectrum efficiency or consuming additional transmitted power [1]. In the MIMO system, two or more antennas are used on both the transmitter and receiver sides. A critical point is to arrange compact antenna elements without impairing antenna performance and system requirements. To do that, mutual coupling or isolation between adjacent antennas is a key factor. However, the antenna elements are strongly coupled with each other as well as with the ground plane, because they share common surface currents. Several techniques have been introduced to improve the isolation characteristic, such as, using the resonating slot on the ground plane [2–6] and using the isolation elements between the radiating elements [7]. Alternative method utilizing the neutralization line was suggested in [8–11]. However, these techniques limit the available space for other system components. Metamaterial (MTM) structures have the ability to concentrate electromagnetic fields and currents near antenna structures instead of spreading them along the antenna ground, which results in higher coupling between antennas. Metamaterial technology has the advantage of reducing the circuit size while providing equivalent or better performance in both antenna and passive circuit applications [12, 13]. Therefore, the circuit size is independent of the operational frequency and can be significantly reduced to fit in a small area.This letter proposes a MIMO antenna with improved isolation for the LTE frequency band using the negative permeability property of an interdigital split ring resonator (SRR).


## 2. Antenna Design

### 2.1. Antenna Structure

The configuration of the proposed MIMO antenna is shown in Figure1. The proposed MIMO antenna consists of two radiating elements, two inverted L strips, the ground plane, an interdigital SRR, and three FR4 substrates (ɛr=4.4) with thickness of a 0.4 mm. The two radiating elements of the meander strip shape were printed on the top side of an FR4 substrate (sub #1), were symmetrically printed with respect to the center, and were placed near the corners of the top edge of the ground plane. The ground plane and two inverted L strips were placed on the back side of an FR4 substrate (sub #3). The two inverted L strips were connected to the ground plane. The interdigital SRR was printed on the top and bottom surfaces of the FR4 substrate (sub #2) with dimensions of 3 mm × 19 mm × 0.4 mm. The top and bottom surfaces of the interdigital SRR were connected by via holes. The total volume of the proposed MIMO antenna including the two substrates was 45 mm × 80 mm × 1.2 mm.The proposed antenna structure: (a) top view, (b) bottom view, (c) side view, (d) over view of the interdigital SRR, and (e) top view of the interdigital SRR.
(a)
(b)
(c)
(d)
(e)


### 2.2. Impedance Bandwidth and Isolation

The simulated return loss characteristic with and without the invertedL strip is illustrated in Figure 2(a). To obtain the resonance frequency at the desired band, inverted L strips were printed on the ground plane. The impedance bandwidth can be obtained by utilizing the mutual coupling between the meander strip and the inverted L strip. Figures 2(b) and 2(c) show the simulated return loss characteristics of the proposed antenna. When the length (L1) of the meander strip and the length (L2) of the inverted L strip were increased, the resonance frequency shifted toward a lower frequency band. Good impedance matching over LTE band 40 can be achieved by adjusting the sizes of the meander strip and inverted L strip. Figure 2(d) shows the simulated return loss characteristics of the proposed antenna for variation in L4. As L4 increases, the impedance matching near the center frequency region improves. The impedance bandwidth can be easily satisfied by adjusting the length (L4) of meander strip.Simulated return loss characteristics: (a) with and without invertedL strip, (b) variation in L1, (c) variation in L2, (d) variation in L4.
(a)
(b)
(c)
(d)The effective permeability characteristic of the interdigital SRR was extracted using the method suggested in [14]. The negative permeability frequency band of the meta-material is determined by the capacitance and inductance of the structure.To analyze the characteristics of the proposed interdigital SRR structure as shown in Figure1(d), perfect electric conductors (PECs) are placed at the top and bottom (in x-y plane) and perfect magnetic conductors (PMCs) are placed at the front and back (in x-z plane). To obtain the negative magnetic response of the structure, the incident magnetic field is perpendicularly polarized to the x axis and the incident electric field is polarized in parallel with the z axis.To increase the capacitance, the gap of conventional SRR is replaced by an interdigital structure. By increasing the capacitance, the negative permeability frequency band is shifted from 3.5 GHz to 2.4 GHz without changing the total size of the SRR as shown in Figure3(a). Figure 3(b) shows the effective permeability characteristics for various lengths of the interdigital SRR (L3). As the length increases, the frequency band of negative permeability shifts to a lower frequency band. Choosing the correct size of the interdigital SRR arm is very important because the resonant frequency is strongly dependent on the length of the interdigital SRR arm.Simulated permeability of the interdigital SRR: (a) comparison between interdigital SRR and conventional SRR, (b) permeability for variousL3.
(a)
(b)Figure4 shows the return loss and isolation characteristics of the proposed MIMO antenna with interdigital SRR for various lengths (L3). When the length of the interdigital SRR is increased, the isolation improvement occurs at the lower frequency without affecting the return loss characteristics over the LTE band 40. From Figures 3(b) and 4(b), one can clearly observe that the negative permeability property of the interdigital SRR improves isolation characteristic of the MIMO antenna systems.Simulated return loss and isolation characteristics of proposed MIMO antenna with the interdigital SRR: (a) return loss for variousL3, (b) isolation for various L3.
(a)
(b)The simulatedS parameters with and without the interdigital SRR are illustrated in Figure 5. It is obvious that the addition of the interdigital SRR improves the isolation characteristic. However, due to the narrow negative permeability bandwidth, the impedance matching at the higher frequency band (2.4 GHz) becomes slightly poor. The designed antenna has a 10 dB return loss bandwidth from 2.27 GHz to 2.41 GHz and an isolation of higher than 20 dB at the center frequency. It has a negative permeability value at 2.35 GHz, so the current could not flow at this frequency. Although the proposed antenna has isolation higher than 15 dB without the interdigital SRR, the isolation can be improved by approximately 10 dB at 2.35 GHz by adding the interdigital SRR.Figure 5
SimulatedS parameter characteristic of the proposed MIMO antenna.To investigate the effect of the interdigital SRR on the isolation characteristic, the current distributions at 2.35 GHz with and without the interdigital SRR were calculated and are shown in Figure6. When one of the two elements was excited, a substantial current was induced at the other element in the absence of an interdigital SRR. After the interdigital SRR was added, the induced current on the nonexcited element became very weak. However, due to the relatively large imaginary part of the permeability of the interdigital SRR which causes losses, the radiation efficiency with interdigital SRR was lower than without it. This fact can also be observed in the current distribution of Figure 6(c). The strong current is induced at the interdigital SRR. The antenna structure was designed and analyzed using a high-frequency structure simulator (HFSS V13.) [15].Simulated current distribution: (a)-(b) without interdigital SRR, (c)-(d) with interdigital SRR.
(a)
top view
(b)
bottom view
(c)
top view
(d)
bottom view


## 2.1. Antenna Structure

The configuration of the proposed MIMO antenna is shown in Figure1. The proposed MIMO antenna consists of two radiating elements, two inverted L strips, the ground plane, an interdigital SRR, and three FR4 substrates (ɛr=4.4) with thickness of a 0.4 mm. The two radiating elements of the meander strip shape were printed on the top side of an FR4 substrate (sub #1), were symmetrically printed with respect to the center, and were placed near the corners of the top edge of the ground plane. The ground plane and two inverted L strips were placed on the back side of an FR4 substrate (sub #3). The two inverted L strips were connected to the ground plane. The interdigital SRR was printed on the top and bottom surfaces of the FR4 substrate (sub #2) with dimensions of 3 mm × 19 mm × 0.4 mm. The top and bottom surfaces of the interdigital SRR were connected by via holes. The total volume of the proposed MIMO antenna including the two substrates was 45 mm × 80 mm × 1.2 mm.The proposed antenna structure: (a) top view, (b) bottom view, (c) side view, (d) over view of the interdigital SRR, and (e) top view of the interdigital SRR.
(a)
(b)
(c)
(d)
(e)


## 2.2. Impedance Bandwidth and Isolation

The simulated return loss characteristic with and without the invertedL strip is illustrated in Figure 2(a). To obtain the resonance frequency at the desired band, inverted L strips were printed on the ground plane. The impedance bandwidth can be obtained by utilizing the mutual coupling between the meander strip and the inverted L strip. Figures 2(b) and 2(c) show the simulated return loss characteristics of the proposed antenna. When the length (L1) of the meander strip and the length (L2) of the inverted L strip were increased, the resonance frequency shifted toward a lower frequency band. Good impedance matching over LTE band 40 can be achieved by adjusting the sizes of the meander strip and inverted L strip. Figure 2(d) shows the simulated return loss characteristics of the proposed antenna for variation in L4. As L4 increases, the impedance matching near the center frequency region improves. The impedance bandwidth can be easily satisfied by adjusting the length (L4) of meander strip.Simulated return loss characteristics: (a) with and without invertedL strip, (b) variation in L1, (c) variation in L2, (d) variation in L4.
(a)
(b)
(c)
(d)The effective permeability characteristic of the interdigital SRR was extracted using the method suggested in [14]. The negative permeability frequency band of the meta-material is determined by the capacitance and inductance of the structure.To analyze the characteristics of the proposed interdigital SRR structure as shown in Figure1(d), perfect electric conductors (PECs) are placed at the top and bottom (in x-y plane) and perfect magnetic conductors (PMCs) are placed at the front and back (in x-z plane). To obtain the negative magnetic response of the structure, the incident magnetic field is perpendicularly polarized to the x axis and the incident electric field is polarized in parallel with the z axis.To increase the capacitance, the gap of conventional SRR is replaced by an interdigital structure. By increasing the capacitance, the negative permeability frequency band is shifted from 3.5 GHz to 2.4 GHz without changing the total size of the SRR as shown in Figure3(a). Figure 3(b) shows the effective permeability characteristics for various lengths of the interdigital SRR (L3). As the length increases, the frequency band of negative permeability shifts to a lower frequency band. Choosing the correct size of the interdigital SRR arm is very important because the resonant frequency is strongly dependent on the length of the interdigital SRR arm.Simulated permeability of the interdigital SRR: (a) comparison between interdigital SRR and conventional SRR, (b) permeability for variousL3.
(a)
(b)Figure4 shows the return loss and isolation characteristics of the proposed MIMO antenna with interdigital SRR for various lengths (L3). When the length of the interdigital SRR is increased, the isolation improvement occurs at the lower frequency without affecting the return loss characteristics over the LTE band 40. From Figures 3(b) and 4(b), one can clearly observe that the negative permeability property of the interdigital SRR improves isolation characteristic of the MIMO antenna systems.Simulated return loss and isolation characteristics of proposed MIMO antenna with the interdigital SRR: (a) return loss for variousL3, (b) isolation for various L3.
(a)
(b)The simulatedS parameters with and without the interdigital SRR are illustrated in Figure 5. It is obvious that the addition of the interdigital SRR improves the isolation characteristic. However, due to the narrow negative permeability bandwidth, the impedance matching at the higher frequency band (2.4 GHz) becomes slightly poor. The designed antenna has a 10 dB return loss bandwidth from 2.27 GHz to 2.41 GHz and an isolation of higher than 20 dB at the center frequency. It has a negative permeability value at 2.35 GHz, so the current could not flow at this frequency. Although the proposed antenna has isolation higher than 15 dB without the interdigital SRR, the isolation can be improved by approximately 10 dB at 2.35 GHz by adding the interdigital SRR.Figure 5
SimulatedS parameter characteristic of the proposed MIMO antenna.To investigate the effect of the interdigital SRR on the isolation characteristic, the current distributions at 2.35 GHz with and without the interdigital SRR were calculated and are shown in Figure6. When one of the two elements was excited, a substantial current was induced at the other element in the absence of an interdigital SRR. After the interdigital SRR was added, the induced current on the nonexcited element became very weak. However, due to the relatively large imaginary part of the permeability of the interdigital SRR which causes losses, the radiation efficiency with interdigital SRR was lower than without it. This fact can also be observed in the current distribution of Figure 6(c). The strong current is induced at the interdigital SRR. The antenna structure was designed and analyzed using a high-frequency structure simulator (HFSS V13.) [15].Simulated current distribution: (a)-(b) without interdigital SRR, (c)-(d) with interdigital SRR.
(a)
top view
(b)
bottom view
(c)
top view
(d)
bottom view


## 3. Measurements

A photograph of the fabricated antenna is shown in Figure7. The measured and simulated return loss values in terms of frequency are compared in Figure 8. The measured results were very similar to the simulated results. The fabricated antenna has a 10 dB return loss bandwidth over the whole LTE band 40 (2.3~2.4 GHz) and an isolation higher than 20 dB at the center frequency.Photograph of fabricated MIMO antenna: (a) top view, (b) bottom view.
(a)
(b)Figure 8
Simulated and measuredS parameters characteristics.The measured radiation patterns of the two radiating elements of the designed MIMO antenna are shown in Figure9. The radiation patterns are symmetrical with respect to the X-axis and each element has near omni-directional radiation patterns at the operating frequency. Figure 10 shows the peak gains and radiation efficiencies of the two elements at the operating frequency. The peak gains were 2.0 dBi and 1.3 dBi, and the measured average radiation efficiencies were 34% and 37%, respectively.Measured radiation pattern: (a) radiator #1, (b) radiator #2.
(a)
(b)Figure 10
Measured gain and radiation efficiency characteristics.For diversity and MIMO applications, the correlation between signals received at the same side of a wireless link by the involved antenna is an important figure of merit for the whole system. Usually, the envelope correlation coefficient (ECC) is used to evaluate the diversity capability of a multiantenna system. This parameter should preferably be computed from 3D radiation patterns, but this method is laborious. Assuming that an antenna operates in a uniform multipath environment, this parameter can alternatively be computed from its scattering parameters. The ECC of the two antennas is given by [16]:
(1)ECC=|S11*S12+S12*S12|2(1-|S11|2-|S21|2)(1-|S22|2-|S12|2).
Figure 11 shows the ECC and mean effective gain (MEG) ratio characteristics computed from the measured scattering parameters. The ECC of the two antennas was less than 0.16, and the measured MEG ratio was less than 1.12 dB over the whole LTE band 40.Figure 11
Measured ECC and MEG ratio characteristics.


## 4. Conclusion

In this letter, we proposed a MIMO antenna with improved isolation for the LTE frequency band using the negative permeability property of an interdigital SRR. The impedance bandwidth was achieved by utilizing electromagnetic coupling between the meander strip and the invertedL strip.The interdigital SRR structure was added between the two elements to improve the isolation characteristic. The return loss was higher than 10 dB and the isolation characteristic was higher than 15 dB over the whole LTE band 40. The measured peak gains of the two elements were 2.0 dBi and 1.3 dBi. The measured envelope correlation coefficient was less than 0.16 and the mean effective gain ratio was less than 1.2 dB. Therefore, the interdigital SRR structure can be used in MIMO antenna systems to obtain the high-isolation characteristic necessary for mobile applications.



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*Source: 864306-2012-07-05.xml*