5G millimeter wave wideband MIMO antenna arrays with high isolation

In this paper, a compact two-port MIMO antenna array system is described. The antenna array spans the range from 27 to 40 GHz, whereas the impedance of the antenna element is matched at 50 Ω. The gain of the antenna element is between 5.5 and 8.5 dBi, and its radiation efficiency is between 65 and 90%. With high impedance matching for 5G MMW (Millimeter Wave), particularly at 28 GHz and 38 GHz, the 2-port antenna array operates in the frequency range of 27–40 GHz. The suggested MIMO array operates effectively with a gain of approximately 10 dBi and a radiation efficiency of approximately 95%. The antenna array's overall dimensions are a length of 55.27 mm, a width of 27.635 mm, and a depth of 1.6 mm with partial ground. A FR-4 substrate is used in the antenna's fabrication, greatly reducing the cost. In the antenna array, a decoupling surface is used between the antennas, with orthogonality being maintained between the ports to reduce mutual coupling. The results of the modelling show a reduction in the measured mutual coupling between array ports of less than − 35 dB. An envelope correlation coefficient (ECC) of less than 1 × 10–4 is preferable. Additionally, the channel loss capacity is less than 0.3 bits/s/Hz, the mean effective gain is approximately − 6 dB, and the total active reflection coefficient is upgraded to be less than − 30 dB. Moreover, a diversity gain of approximately 10 dB is achieved. The proposed construction was created using CST Microwave Studio 2019. When the antennas are constructed and tested, the experimental outcomes surpass those of the simulation. Each antenna element is 27.635 mm long, 27.635 mm wide, and 1.6 mm thick. Slots in the radiating circular patch antenna element could be used to improve the radiation characteristics across the intended bands. The parametric study specifies that the distance between the antenna elements should be 0.5 λ, where λ is the operational wavelength.


Introduction
Several researchers have created antennas for 5G wireless systems as is shown in [1], where a tree patch antenna for 2.4 GHz ISM band applications with a gain of 7 dB is described.To support WLAN applications, [2] created a circular patch-type microstrip antenna.The antenna in [2] operates at 5.5 GHz with an efficiency of 79% and a gain of 3.2 dB.Additionally, many scholars presented various antenna shapes, such as those in [3][4][5].The behaviour of fractal antennas and other non-Euclidean wire antennas in the range of low frequencies is covered in [3].As in [6], in which the behaviours of of Sierpin-ski fractal antennas are discussed, [6][7][8] also addresses the behaviours of fractal antennas that operate on many bands.A discussion of a microstrip fractal antenna with good directivity and broadband is provided in [8].Multiple-input-multiple-output (MIMO) antenna technology is one of the most important components of 5G wireless communication networks.This approach enhances spectrum efficiency, cost efficiency, and energy efficiency.MIMO is frequently used in a variety of systems to significantly enhance channel capacities.Compact array antennas are widely used because of space limitations and aesthetic factors.A MIMO array with a gain of 2.5 dBi and a bandwidth ranging from 3.2 to 4 GHz is presented in [9].Without any decoupling surfaces, [10] presented a 22 U-slot patch array antenna with a 13.1 dBi gain and a range spanning from 26.94 to 31.08 GHz.
Since the value of isolation is less than 14 dB, [11] employed the approach of DGS to obtain strong isolation between the input ports in a MIMO antenna array.The antenna is 45 × 45 × 1.6 mm 3 .The FR-4 substrate is used for the antenna's design.The range of frequencies is 2.2 GHz to 6.3 GHz.The design has a peak efficiency of approximately 91% and gain of approximately 4 dBi.To solve the mutual coupling issue, [12] used metamaterial loading techniques as well as DGS in the array design.An eight-port UWB MIMO antenna was developed in [13], and they used a parasitic decoupling structure to reduce mutual coupling.
A four-port MIMO array is created in [14].The antenna has the following dimensions: a length of 30 mm, a width of 35 mm, and a depth of 0.76 mm.It operates in the frequency range of 25.5-29.6GHz and has an antenna gain of 8.3 dBi.Nevertheless, [15] presented an 8-port MIMO array to cover the spectrum from 27.5 to 29.5 GHz with a Rogers Duroid 5880 substrate.Metamaterials are employed in [16][17][18][19] to provide excellent port isolation.Four-port MIMO arrays are introduced in [20] to support 5G, although its antenna array gain is just 5 dBi.With a bandwidth ranging from 26 GHz to more than 39 GHz, MIMO antenna arrays with high bandwidth and good characteristics are proposed in [21,22].In [23], the antenna achieves a 20 dBi gain with an overall gain of 8 dBi and covers a band between 24 GHz and 40 GHz.In this research, an orthogonal two-port MIMO antenna array is proposed to reduce mutual interaction.The proposed antenna array supports 5G MMW applications, namely, at 28 and 38 GHz.Moreover, the antenna can operate in the frequency range between 27 and 40 GHz.It is built on an FR-4 substrate, which has a dielectric constant of 4.3, to lower the cost of the antenna and simplify the structure.Each antenna element has a 50-ohm impedance match.Its antenna element gain is 10 dBi, and its radiation efficiency is 95%.The MIMO antenna is 55.27 mm in length, 27.635 mm in width, and 1.6 mm in thickness overall.
The following sections make up the remaining portions of the paper.The technique is employed in Sect. 2. In Section 3, details regarding the antenna element's design and configuration are provided.In Sect.4, the two-port MIMO array design is explained.In Sect.5, the MIMO results are presented and discussed.The results of the MIMO array parameters are provided in Sect.6.The final section contains the conclusion.

Method and experiment
The MIMO antenna array and antenna element are simulated using the CST program.To provide strong isolation between the antenna ports, a decoupling surface between the antennas is added into the ground plane.

Antenna element design
The concept behind the proposed antenna is to use a patch antenna's radiating element that has slots.The antenna is printed on an FR-4 substrate with a loss tangent value of 0.025 and a dielectric constant of 4.3.(Fig. 1).The patch's operating frequencies are 28 GHz and 38 GHz.The designed antenna covers the 5G MMW band (Fig. 2).
The patch antenna's bandwidth is determined by the circle's radius.The radius of the patch-circle antenna is determined using Eqs.( 1) and ( 2) [1], where h is the substrate's height; εr and fr are the dielectric constant of the substrate and resonant frequency, respectively; and C is the speed of light, which equals 3 × 10 8 m/s.A portion of the antenna is grounded.The antenna element covers the range from 27 to 40 GHz with a 50-ohm impedance matching.The radiation efficiency and gain of each antenna element are 90% and 8.5 dBi, respectively.Table 1 provides the optimized values of the antenna parameters.According to Figs. 3  and 4, the antenna's efficiency and gain are set to 90% and 8.5 dBi, respectively.Figure 5 depicts the simulated two-dimensional (2D) beam forming at 28 GHz and 38 GHz with Ф= 90° and Ө= 90°.Notably, the E-plane antenna radiation pattern is omnidirectional.The corresponding vector current distribution for the recommended antenna element is shown in Fig. 6.Many different currents travel in different directions.The bandwidth will therefore increase by combining these currents.The patch antenna's feed line and (1)  edges are where the flowing current is concentrated most heavily.Figure 7 illustration of the impedance, which is 50 ohms, indicates that good matching occurs.Table 2 lists the outcomes of the antenna element beam shaping.

Two-port MIMO antenna array design
The antenna element is simulated with the best dimensions in this research.The constructed antenna is made of an FR-4 substrate, which has a loss tangent of 0.025 and a dielectric constant of 4.  spacing is set to 0.5 λ, where λ is the operating wavelength.Using the commercial CST 2019 simulation tool, the planned MIMO antenna is tested (Fig. 8).The manufactured antenna is depicted in Fig. 9.

Results and discussion
Figure 10 presents the antenna's band-width, which ranges from 27 to 40 GHz at each port servicing the 5G MMW, together with the reflection coefficient at Ports 1 and 2.
As shown in Fig. 8, the antenna elements are orthogonal to one another.To further reduce the mutual coupling between the ports because it serves as an isolating element between input ports, a decoupling surface with the dimensions L3 = 25 mm, W3 = 2.4 mm, and L4 = 5 mm is inserted between them in the ground plane.This structure also contains three slots in the shape of circles with a radius of 0.9 mm.As shown in Fig. 11, mutual coupling between the array ports is minimized by less than − 35    3) and ( 4) are used to calculate the capacitance and inductance of the antenna elements, respectively [24].The attained efficiency and gain are set to 95% and 10 dBi, respectively (Figs. 12 and 13).Fig. 14 displays the surface current at 28 GHz and 38 GHz while Port 1 is active.Although the isolation between the ports is less than − 15 dB, Fig. 15 shows the isolation between the ports without an isolation surface.The soldering of the SMA connector may account for the tiny discrepancy between the experimental and simulated results.where L is the total length of the patch and ω o is the angular center frequency.The E-plane beam-forming at frequencies of 28 GHz and 38 GHz is illustrated in Figure 16.The main lobe is focused at Ф = 90° when θ = 90°, and they are orthogonal    3.

MIMO array parameters results
A variety of parameters are used to examine the MIMO array's quality.To analyze the MIMO antenna performance, one of the most crucial dynamic features for computing various parameters is used.The DG is expressed as the loss in the transmission power caused by the diversity schemes in a MIMO system.As shown in Fig. 17, the DG is approximately 10 decibels.The DG is determined through the next equation [18].
One of the most important dynamic parameters for assessing the effectiveness of MIMO antennas is the ECC.The S-parameters can be used to compute this parameter as shown in the ensuing equation [14].
According to Fig. 18, the ECC result is 0.002.The factor that certifies port coupling is the TARC.It is used to verify the effectiveness of a MIMO antenna.The TARC, which measures the total incident power, expresses the (5  radiated power of the MIMO antenna array.The following equation [20] is used to calculate the TARC. S mm and S nn are the corresponding reflection coefficients for Port 1 and Port 2, respec- tively, and 0° ≤ θ ≤ 180° (θ: the angle of input phase) with a 30-degree step.Figure 19 depicts the TARC.
Several MIMO performance variables are considered to be major indicators of the channel capacity loss (CCL).The CCL is calculated using the following equation.
where ΨR is the receiving antenna correlation matrix, which is written as where In the proposed designs, the CCL value is set to be less than 0.4 bits/sec/Hz; thus, it satisfies the requirements.Fig. 20 shows the resulting CCL.
The mean effective gain (MEG) provides the overall effectiveness, gain, and measurement of the antenna-channel mismatch.The MEG1/MEG2 ratios of the two antennas range from 0.9661 to 1.0076.Each antenna has an MEG value that ranges from 6.0146 dB to 6.5219 dB, as indicated in Table 4.The formulae below are used to calculate the MEG.
� mn = −(S mm * S mn + S nm * S nn ) � nm = −(S nm * S nm + S nm * S nm ) In Fig. 21, which represents the equivalent circuit of a MIMO array with a decoupling surface.Moreover, the patch antenna is expressed as the resistance (Rp), inductance (Lp), and capacitance (Ca) (cp).In Table 5, the suggested antenna is contrasted with antennas that have been previously described in the literature.

Conclusion
Since the isolation is less than -35 dB, high isolation between the ports of a two-port MIMO array is introduced in this paper.Two circular patch array elements are made up of two antennas each with a circle-shaped slot to boost the bandwidth.An antenna is attached to a partially grounded aircraft.The antenna operates in the range from 27 GHz to 40 GHz to support the 5G MMW.The findings of the simulation and measurement have excellent agreement.The antenna arrays are built from a low-cost material with a substantial cost decrease.At less than 30 dB, it shows a good TARC performance.Moreover, the MEG is less than -6 dB, the ECC is less than 110-4, the DG approaches 10 dB, and the CCL is less than 0.3 bits/s/Hz.The antenna array is 55.27 x 27.635 mm2 in total size.The antenna array has a 10 dBi gain and a 95% efficiency.

Fig. 1 Fig. 2
Fig. 1 Geometry of the array patch antenna element with an impedance of 50 Ω.a Front side.b Back side

Fig. 3 Fig. 4
Fig. 3 Realized efficiency of the antenna versus the frequency

Fig. 5 Fig. 6
Fig. 5 Simulated beam-forming of a single element at Ф = 90° for the frequency of a 28 GHz, b 38 GHz and at Ө = 90° for the frequency of c 28 GHz, d 38 GHz

Fig. 7
Fig. 7 Simulated reference impedance versus the frequency of the antenna operation

Fig. 9 Fig. 10 Fig. 11
Fig. 9 Fabricated prototype of the proposed MIMO antenna.a Front side.b Back side

Fig. 12
Fig. 12 Efficiency of the simulated and measured MIMO arrays

Fig. 13
Fig. 13 Simulated and measured gain for the MIMO antenna

Fig. 14
Fig. 14 Surface current at a 28 GHz, b 38 GHz when Port 1 is on

Fig. 15 Fig. 16
Fig. 15 Simulated isolation between the ports without the decoupling surface

Fig. 19
Fig. 19 TARC for the MIMO antenna over frequency

Table 1
Suggested antenna element optimized dimensions (in Millimeters)

Table 2
Results of the antenna's radiation pattern HPBW: Half Power Beam Width, MLM: Main Lobe Magnitude, SLL: Side Lobe Level

Table 3
Radiation pattern results of the MIMO array

Table 4
Results of the MEG Fig. 21 Equivalent circuit of two port array with decoupling surface

Table 5
Performance evaluation of the proposed design against those of the previous literature