As illustrated in Fig. 4, the same construction was expanded to a total of 2×2 MIMO antenna. The suggested MIMO antenna's size are 32×20 mm2. d = 2mm (0.038 λ0) is the end-to-end distance between two elements. Table 3 shows the optimum dimensions of the proposed MIMO antenna.
Table 3
Parameter
|
Ws
|
d
|
W
|
L
|
T
|
|
Value (mm)
|
32
|
2
|
5
|
16
|
1
|
Figures 5 and 6 show the simulated and measured S-parameters (S11, S21). Figure 5 shows that the operating frequency range of MIMO antenna is similar to that of single antennas (5.4–12.2 GHz). It's also worth noting that the simulated and measured S11 are nearly identical.
Mutual coupling S21 is the most significant metric to consider when evaluating the performance of a MIMO antenna. Mutual coupling happens when two or more antennas are put in close proximity to each other. Mutual coupling has a negative impact on impedance, radiation pattern, and received voltages, among other things, hence it's critical to reduce it. Mutual coupling throughout the full operational frequency band is below − 15dB, as shown in Fig. 5.
Figure 7 depicts the surface current distributions between elements with and without T-shaped stubs. When a stub is inserted between the elements, surface currents are prevented from propagating from one element to the next.
The performance of the MIMO antenna is evaluated in terms of gain, ECC, diversity gain and channel capacity loss. The fabricated MIMO antenna is shown in Fig. 8. The gain of the antenna is 2.6, 3.5, 4.3 and 3.4 at 6GHz, 8 GHz, 10 GHz and 12 GHz respectively as shown in Fig. 9.
Diversity Gain
The diversity gain of the MIMO antenna is 9.98, 9.98, 10 and 9.99 at 6 GHz, 8 GHz, 10 GHz and 12 GHz respectively.
DG = 10 \(\sqrt{1-{\left|ECC\right|}^{2}}\) (1)
Multiplexing Efficiency
Multiplexing efficiency and total efficiency for two element antenna is
$${\left|{\rho }_{e}\right|}^{2}=1-\frac{{\eta }_{mux}}{{\eta }_{1}{\eta }_{2}}$$
2
Effective Diversity Gain (EDG)
The EDG is 8.6, 9, 9.2 and 9.1 at 6 GHz, 8 GHz, 10 GHz and 12 GHz respectively. The antenna efficiency, diversity gain and effective diversity gain are related as
EDG = DG × 𝞰ant (3)
Envelope Correlation Coefficient (ECC)
The ECC for the proposed MIMO antenna can derived from S-parameters. The ECC is 0.003, 0.003, 0.001 and 0.002 at 6 GHz, 8 GHz, 10 GHz and 12 GHz respectively.
Table 4
Performance evaluation of the proposed MIMO antenna in terms of efficiency, DG, gain, multiplexing efficiency, CCL
Frequency/Parameter
|
6 GHz
|
8 GHz
|
10 GHz
|
12 GHz
|
Mutual coupling (dB)
|
-16
|
-17
|
-20
|
-17
|
Efficiency
|
86
|
91
|
92
|
91
|
Diversity Gain
|
9.98
|
9.98
|
10
|
9.99
|
Gain
|
2.6
|
3.5
|
4.3
|
3.4
|
Multiplexing Efficiency
|
-0.11
|
-0.08
|
-0.05
|
-0.06
|
Effective Diversity Gain
|
8.6
|
9
|
9.2
|
9.1
|
CCL
|
0.25
|
0.23
|
0.25
|
0.24
|
ECC
|
0.003
|
0.003
|
0.001
|
0.002
|
Channel Capacity Loss (CCL)
Channel capacity is one of the important performance index for the MIMO antenna. The channel capacity loss plot is shown in Fig. 9. It is observed that CCL is 0.15, 0.24, 0.23 and 0.18 at 6 GHz, 8 GHz, 10 GHz and 12 GHz respectively.
Closs = -\({\text{log}}_{2}det\left({\varPsi }^{R}\right)\) (5)
𝝭R =\(\left[\begin{array}{cc}{\rho }_{11}& {\rho }_{12}\\ {\rho }_{21}& {\rho }_{22}\end{array}\right]\)
Table 5
Performance comparison of proposed MIMO antenna
Antenna
|
Size
(mm2)
|
Bandwidth
(GHz)
|
Mutual coupling
(dB)
|
ECC
|
Clearance area
(mm2)
|
[10]
|
35 × 33
|
3.1-5
|
-22
|
< 0.1
|
35 × 16
|
[11]
|
37 × 45
|
3.1–5.15
|
-20
|
NA
|
30 × 25
|
[12]
|
60 × 50
|
3–6
|
-20
|
NA
|
60 × 40
|
[13]
|
35 × 40
|
3.1–10.6
|
-16
|
NA
|
35 × 27.25
|
[14]
|
26 × 40
|
3.1–10.6
|
-20
|
NA
|
32 × 26
|
Proposed
|
32 × 20
|
5.4–12.2
|
-25
|
0.001
|
27 × 20
|