# Conformal Quad-Port UWB MIMO Antenna for Body-Worn Applications

Authors: Thennarasi Govindan; Sandeep Kumar Palaniswamy; Malathi Kanagasabai; Sachin Kumar; Thipparaju Rama Rao; Mohammed Gulam Nabi Alsath
Journal: International Journal of Antennas and Propagation
 (2021)

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## Abstract

A conformal four-port multiple-input-multiple-output (MIMO) antenna operating at 2.4 GHz and ultrawideband (UWB) is presented for wearable applications. The unit element of the MIMO antenna is a simple rectangular monopole with an impedance bandwidth of 8.9 GHz (3.1–12 GHz). In the monopole radiator, stubs are introduced to achieve 2.4 GHz resonance. Also, a defect is introduced in the ground plane to reduce backside radiation. The efficiency of the proposed antenna is greater than 95%, and its peak gain is 3.1 dBi. The MIMO antenna has an isolation of >20 dB, and the estimated specific absorption rate (SAR) values for 1 gm of tissue are below 1.6 W/Kg. The size of the four-port MIMO antenna is 1.38λ0 × 0.08λ0 × 0.014λ0.


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## Body

## 1. Introduction

Wearable technology is one of the most popular research topics these days as it provides useful information about the fitness of a person. Wearable technology has been widely used in a variety of fields such as medicine, military, sports, and communication [1]. Body-worn devices such as fitness bands, smartwatches, smart jewellery, and smart helmets are commonly used for health monitoring. The antennas used in these smart devices operate at 2.45 GHz ISM band and ultrawideband (UWB) [2]. In [3], a male finger ring antenna was designed for healthcare applications. In [4], an UWB antenna was reported for the indoor positioning systems. Antennas used in wearable devices should be lightweight, flexible, and conformal [5]. In [6], a button-shaped wearable antenna was designed that can be attached to clothing. In [7], the multilayer weaving method was used to create a textile antenna made of conductive threads. UWB antennas integrated with the 2.45 GHz frequency band were reported in [8, 9] to achieve a high data rate using small transmit power. A UWB multiple-input-multiple-output (MIMO) configuration was proposed to provide reliable data transmission while avoiding multipath fading. However, the mutual coupling is the main problem in MIMO antennas. The use of decoupling structures to reduce mutual coupling in a wideband vehicular antenna was described in [10]. Another important feature of wearable antennas is their close proximity to the human body. Therefore, specific absorption rate (SAR) analysis is performed to confirm that the radiation exposure is within the prescribed limit [11].In this paper, a four-port MIMO/diversity wristband antenna is designed on a flexible and conformable silicone rubber substrate. The MIMO antenna consists of four antenna elements that are placed horizontally to provide pattern diversity. This paper is organized as follows. Section2 describes the design of the proposed wearable antenna. Section 3 discusses the MIMO antenna results, diversity characteristics, and the SAR analysis. Section 4 presents the conclusion of the proposed work.


## 2. Antenna Design

### 2.1. UWB Antenna Element

The proposed antenna is a rectangular monopole with a defect in the ground plane as shown in Figures1(a) and 1(b), respectively. The evolution of the proposed antenna is depicted in Figure 2. Figure 2(a) consists of a simple rectangular radiator and a modified ground plane. However, Antenna 1 has poor impedance matching, as illustrated in Figure 3. In the next step, rectangular slots are etched from the radiator on both sides of the feed line to improve impedance matching, as shown in Figure 2(b) (Antenna 2). In Figure 2(c) (Antenna 3), a U-shaped slot is incorporated into the ground plane to further improve the impedance matching. This step increased the impedance bandwidth significantly. Furthermore, a meander line stub and rectangular slot are introduced in the radiator and ground plane, respectively, to achieve an extra resonance at 2.4 GHz, as illustrated in Figure 2(d)(Antenna 4). Table 1 displays the design parameters of the proposed antenna.Figure 1
Proposed wristband antenna: (a) front view and (b) rear view.
(a)(b)Figure 2
Evolution of the proposed antenna: (a) Antenna 1, (b) Antenna 2, (c) Antenna 3, and (d) Antenna 4.
(a)(b)(c)(d)Figure 3
Reflection coefficients of the evolution stages.Table 1
Dimensions of the wristband antenna.
ParameterabcdefghijkValue (mm)401212133.5161241.51ParameterlmnopqrstuValue (mm)20.56.250.522230640For a better understanding, the surface current distribution of the proposed antenna element at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz is shown in Figure4. It is observed that the UWB is controlled by the rectangular monopole radiator, while the 2.4 GHz resonance is controlled by the meander line stub and slotted ground plane. The antenna is designed on the silicone rubber substrate material of dielectric constant of 2.9 and loss tangent of 0.358 [12]. The substrate material has a perimeter of 1.38λ0, with a bending radius of 16.0825 mm readily available adult size silicone rubber wristband in the market. The proposed antenna operates in the (2.05–2.6 GHz) ISM band and the (3.1–12 GHz) UWB band. The size of the antenna element is 0.437λg × 0.025λg mm2, where λg is the guided wavelength.Figure 4
Surface current distribution at (a) 2.4 GHz, (b) 3 GHz, (c) 6 GHz, and (d) 10 GHz.
(a)(b)(c)(d)The lower band-edge frequency (fl) of the monopole planar antenna is determined using the following equation [13, 14]:(1)fl=7.2l+r+p×k,where l is the height of the antenna,r denotes the width of the monopole antenna, and p=0.2cm is the distance between the radiator and the ground plane.(2)k=εeff4.The fourth root of the effective dielectric constant is the factork.Equation (1) is restructured for the proposed wristband antenna as follows:(3)fl=7.21.92πa+b+p×k.The expression (l +r) is related to 1.92πa+b, which is equivalent to the perimeter of the monopole radiator. a and b correspond to the semiwidth and semilength of the radiator. The parameters a, b, l, r, and p are measured in centimetres, and fl is measured in GHz.The 2.45 GHz resonant frequency is obtained using a stub of lengthλo/4 = L1 + L2 + L3 + …. + L17 as depicted in Figure 5.Figure 5
Stub of lengthλo/4 to achieve 2.45 GHz resonant frequency.The above equations are accompanied with the equivalent circuit as given in Figure6.Figure6 shows the equivalent circuit of the proposed antenna, which is made up of R, L, and C components. The antenna impedance characteristics (Figure 7) show the series and parallel layout of the equivalent circuit. It is considered a series connection when the real and imaginary curves are from low to high, and a parallel connection if they move from high to low [15]. The values of the R, L, and C components are depicted in Figure 6. Since the impedance curves move from high to low at 2.4 GHz, they are shown in parallel, and the impedance curves go from low to high at 3.1 GHz (the start of the UWB) and 10.6 GHz (the end of the UWB), they are represented in series.Figure 6
Equivalent circuit of the proposed wristband antenna.Figure 7
Impedance characteristics of the proposed wristband antenna.A parametric analysis of the radiator and ground plane is performed to achieve 2.4 GHz and UWB, as shown in Figures8–11. The length of the stub “o” is varied to achieve the 2.4 GHz ISM band. When “o” is decreased to 0.4 mm, the reflection coefficient curve shifts to the left, and when “o” is greater than 0.5 mm, the reflection coefficient curve shifts to the right. Figure 6 depicts the effect of parameter “f.” The reflection coefficient curves show that when “f” increases, the impedance matching improves, resulting in the UWB. Figure 10 depicts the effect of ground plane parameter “q.” It is evident that as “q” increases, the resonance bandwidth increases due to improved impedance matching. Figure 11 depicts the reflection coefficients for various slot lengths “r.” When r = 1.5 mm, the UWB is obtained, but no resonance occurs in the 2.4 GHz ISM band. Whereas at r = 2.5 mm, the 2.4 GHz ISM band is obtained, but the reflection coefficient curve shifts towards the higher frequency side. Therefore, the optimal width of the slot should be 2 mm.Figure 8
Reflection coefficients with varying lengths of stub “o.”Figure 9
Reflection coefficients with varying lengths of “f.”Figure 10
Reflection coefficients with varying lengths of slot “q.”Figure 11
Reflection coefficients with varying lengths of slot “r.”


### 2.2. MIMO Antenna

The proposed wristband MIMO antenna with and without ground plane is depicted in Figure12. As [16], the investigations on connected ground plane are conducted, and the S-parameter results (Figure 13) show that there is no discernible effect on the performance of the proposed MIMO antenna due to the conformal nature of the prototype. The spacing between the antenna elements is 0.07λ0, which offers interelement isolation of >20 dB. A parametric analysis of the wristband antenna is performed by varying the bending radius. The bending radius of 16.0825 mm is chosen as adult size silicone rubber wristbands of this size are readily available in the market.Figure 12
Prototype of the wristband antenna (a) without common ground plane and (b) with common ground plane.
(a)(b)Figure 13
Simulated S-parameters of the proposed wristband antenna (with and without CG (common ground) plane).The parametric analysis is conducted by varying the bending radius, and the S-parameter curves are shown in Figures14 and 15. Figure 14 demonstrates that the reflection coefficients for seven different bending radii do not vary significantly, and all of these curves covered the UWB and 2.4 GHz band. However, the spacing between the antenna elements may vary due to changes in the bending radius. The spacing is reduced to 0.0385λ0 for a bending radius of 14.5825 mm in Case 1 and increased to 0.105λ0 for a bending radius of 17.5825 mm in Case 2. It is observed that the interelement isolation increases with a larger bending radius and decreases with a smaller bending radius, shown in Figure 15. Further reduction of bending radius below 14.5825 mm increases the mutual coupling, which affects the antenna’s performance. There is no use of increasing the band size further as it will not match with the market available wristband. Therefore, band size with a bending radius of 16.0825 mm is considered in the proposed work.Figure 14
Reflection coefficients of the proposed wristband antenna at different bending radii (BR).Figure 15
Mutual coupling of the proposed wristband antenna at different bending radii (BR).


## 2.1. UWB Antenna Element

The proposed antenna is a rectangular monopole with a defect in the ground plane as shown in Figures1(a) and 1(b), respectively. The evolution of the proposed antenna is depicted in Figure 2. Figure 2(a) consists of a simple rectangular radiator and a modified ground plane. However, Antenna 1 has poor impedance matching, as illustrated in Figure 3. In the next step, rectangular slots are etched from the radiator on both sides of the feed line to improve impedance matching, as shown in Figure 2(b) (Antenna 2). In Figure 2(c) (Antenna 3), a U-shaped slot is incorporated into the ground plane to further improve the impedance matching. This step increased the impedance bandwidth significantly. Furthermore, a meander line stub and rectangular slot are introduced in the radiator and ground plane, respectively, to achieve an extra resonance at 2.4 GHz, as illustrated in Figure 2(d)(Antenna 4). Table 1 displays the design parameters of the proposed antenna.Figure 1
Proposed wristband antenna: (a) front view and (b) rear view.
(a)(b)Figure 2
Evolution of the proposed antenna: (a) Antenna 1, (b) Antenna 2, (c) Antenna 3, and (d) Antenna 4.
(a)(b)(c)(d)Figure 3
Reflection coefficients of the evolution stages.Table 1
Dimensions of the wristband antenna.
ParameterabcdefghijkValue (mm)401212133.5161241.51ParameterlmnopqrstuValue (mm)20.56.250.522230640For a better understanding, the surface current distribution of the proposed antenna element at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz is shown in Figure4. It is observed that the UWB is controlled by the rectangular monopole radiator, while the 2.4 GHz resonance is controlled by the meander line stub and slotted ground plane. The antenna is designed on the silicone rubber substrate material of dielectric constant of 2.9 and loss tangent of 0.358 [12]. The substrate material has a perimeter of 1.38λ0, with a bending radius of 16.0825 mm readily available adult size silicone rubber wristband in the market. The proposed antenna operates in the (2.05–2.6 GHz) ISM band and the (3.1–12 GHz) UWB band. The size of the antenna element is 0.437λg × 0.025λg mm2, where λg is the guided wavelength.Figure 4
Surface current distribution at (a) 2.4 GHz, (b) 3 GHz, (c) 6 GHz, and (d) 10 GHz.
(a)(b)(c)(d)The lower band-edge frequency (fl) of the monopole planar antenna is determined using the following equation [13, 14]:(1)fl=7.2l+r+p×k,where l is the height of the antenna,r denotes the width of the monopole antenna, and p=0.2cm is the distance between the radiator and the ground plane.(2)k=εeff4.The fourth root of the effective dielectric constant is the factork.Equation (1) is restructured for the proposed wristband antenna as follows:(3)fl=7.21.92πa+b+p×k.The expression (l +r) is related to 1.92πa+b, which is equivalent to the perimeter of the monopole radiator. a and b correspond to the semiwidth and semilength of the radiator. The parameters a, b, l, r, and p are measured in centimetres, and fl is measured in GHz.The 2.45 GHz resonant frequency is obtained using a stub of lengthλo/4 = L1 + L2 + L3 + …. + L17 as depicted in Figure 5.Figure 5
Stub of lengthλo/4 to achieve 2.45 GHz resonant frequency.The above equations are accompanied with the equivalent circuit as given in Figure6.Figure6 shows the equivalent circuit of the proposed antenna, which is made up of R, L, and C components. The antenna impedance characteristics (Figure 7) show the series and parallel layout of the equivalent circuit. It is considered a series connection when the real and imaginary curves are from low to high, and a parallel connection if they move from high to low [15]. The values of the R, L, and C components are depicted in Figure 6. Since the impedance curves move from high to low at 2.4 GHz, they are shown in parallel, and the impedance curves go from low to high at 3.1 GHz (the start of the UWB) and 10.6 GHz (the end of the UWB), they are represented in series.Figure 6
Equivalent circuit of the proposed wristband antenna.Figure 7
Impedance characteristics of the proposed wristband antenna.A parametric analysis of the radiator and ground plane is performed to achieve 2.4 GHz and UWB, as shown in Figures8–11. The length of the stub “o” is varied to achieve the 2.4 GHz ISM band. When “o” is decreased to 0.4 mm, the reflection coefficient curve shifts to the left, and when “o” is greater than 0.5 mm, the reflection coefficient curve shifts to the right. Figure 6 depicts the effect of parameter “f.” The reflection coefficient curves show that when “f” increases, the impedance matching improves, resulting in the UWB. Figure 10 depicts the effect of ground plane parameter “q.” It is evident that as “q” increases, the resonance bandwidth increases due to improved impedance matching. Figure 11 depicts the reflection coefficients for various slot lengths “r.” When r = 1.5 mm, the UWB is obtained, but no resonance occurs in the 2.4 GHz ISM band. Whereas at r = 2.5 mm, the 2.4 GHz ISM band is obtained, but the reflection coefficient curve shifts towards the higher frequency side. Therefore, the optimal width of the slot should be 2 mm.Figure 8
Reflection coefficients with varying lengths of stub “o.”Figure 9
Reflection coefficients with varying lengths of “f.”Figure 10
Reflection coefficients with varying lengths of slot “q.”Figure 11
Reflection coefficients with varying lengths of slot “r.”


## 2.2. MIMO Antenna

The proposed wristband MIMO antenna with and without ground plane is depicted in Figure12. As [16], the investigations on connected ground plane are conducted, and the S-parameter results (Figure 13) show that there is no discernible effect on the performance of the proposed MIMO antenna due to the conformal nature of the prototype. The spacing between the antenna elements is 0.07λ0, which offers interelement isolation of >20 dB. A parametric analysis of the wristband antenna is performed by varying the bending radius. The bending radius of 16.0825 mm is chosen as adult size silicone rubber wristbands of this size are readily available in the market.Figure 12
Prototype of the wristband antenna (a) without common ground plane and (b) with common ground plane.
(a)(b)Figure 13
Simulated S-parameters of the proposed wristband antenna (with and without CG (common ground) plane).The parametric analysis is conducted by varying the bending radius, and the S-parameter curves are shown in Figures14 and 15. Figure 14 demonstrates that the reflection coefficients for seven different bending radii do not vary significantly, and all of these curves covered the UWB and 2.4 GHz band. However, the spacing between the antenna elements may vary due to changes in the bending radius. The spacing is reduced to 0.0385λ0 for a bending radius of 14.5825 mm in Case 1 and increased to 0.105λ0 for a bending radius of 17.5825 mm in Case 2. It is observed that the interelement isolation increases with a larger bending radius and decreases with a smaller bending radius, shown in Figure 15. Further reduction of bending radius below 14.5825 mm increases the mutual coupling, which affects the antenna’s performance. There is no use of increasing the band size further as it will not match with the market available wristband. Therefore, band size with a bending radius of 16.0825 mm is considered in the proposed work.Figure 14
Reflection coefficients of the proposed wristband antenna at different bending radii (BR).Figure 15
Mutual coupling of the proposed wristband antenna at different bending radii (BR).


## 3. Results and Discussion

### 3.1. S-Parameters

Figures16(a)–16(c) show the fabricated prototype and its S-parameter measurement on the Anritsu MS 2037C vector network analyzer. The simulated and measured S-parameters of the MIMO antenna are given in Figures 17 and 18. The antenna exhibits an impedance bandwidth of 2.05–2.6 GHz in the ISM band and 3.1–12 GHz in the UWB. The refection coefficient curves for Antenna 1, Antenna 2, Antenna 3, and Antenna 4 are all similar; therefore, S11 is only shown at port-1 for brevity. Figure 18 shows the mutual coupling between the antenna elements, which is greater than 20 dB.Figure 16
(a) Photograph of the fabricated prototype, (b) antenna measurement in free space, and (c) antenna measurement on the human wrist.
(a)(b)(c)Figure 17
Simulated and measuredS11 of the proposed wristband antenna.Figure 18
Simulated and measuredSij-parameters of the proposed wristband antenna.


### 3.2. Radiation Performance

The proposed antenna is tested in an anechoic chamber with a horn antenna as the standard reference antenna. The anechoic chamber measurement setup is shown in Figure19. Figure 20 depicts the radiation patterns obtained in free space and on the human wrist at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz. The radiation patterns on the human wrist show suppressed back radiations.Figure 19
Anechoic chamber measurement of the proposed wristband antenna.Figure 20
Radiation patterns of the proposed wristband antenna: (a) 2.4 GHz, E-plane, (b) 2.4 GHz, H-plane, (c) 3 GHz, E-plane, (d) 3 GHz, H-plane, (e) 6 GHz, E-plane, (f) 6 GHz, H-plane, (g) 10 GHz, E-plane, and (h) 10 GHz, H-plane.
(a)(b)(c)(d)(e)(f)(g)(h)The gain and efficiency plots of the proposed antenna are shown in Figure21. The simulated and measured peak gain values are 4.7 dBi and 3.1 dBi, respectively. The difference between simulated and measured gain values is due to the manual fabrication process, cable effect, and SMA connector soldering [17, 18]. It may also be due to conductive adhesives used during fabrication and the tapes during anechoic chamber measurements. Other losses, such as conductor, dielectric, surface radiation, and power leakage from the connector, are also present in the measurements, which were almost negligible in the simulated results. The efficiency of the wristband antenna is greater than 95%.Figure 21
Gain and efficiency of the proposed wristband antenna.


### 3.3. Diversity Performance

Envelope correlation coefficient (ECC) is used to calculate the correlation between antenna elements. It can be calculated using far-field as follows [19]:(4)ECC=∬​F1⟶θ,φ.F2⟶θ,φdΩ2∬​F1⟶θ,φ2dΩ∬​F2⟶θ,φ2dΩ.The ECC of the antenna is shown in Figure22, and the obtained ECC values are <0.1. Diversity gain (DG) refers to the process of transmitting a signal with the minimum loss. It is obtained by using (5). The DG plots are shown in Figure 23, and the DG of the proposed antenna is greater than 9.4 dB.(5)DG=1−ECC2.Figure 22
ECC of the proposed wristband antenna.Figure 23
Diversity gain of the proposed wristband antenna.Channel capacity loss (CCL) is a measure of channel loss in a MIMO system. CCL is calculated using the following equation [20]:(6)CCL=−log2ψR.The total active reflection coefficient (TARC) is defined as the ratio of total reflected powerbi to total incident power ai, as given in the following equation [20]:(7)TARC=∑i=1Nbi2∑i=1Nai2.The measured CCL and TARC values are depicted in Figures24 and 25.Figure 24
CCL of the proposed wristband antenna.Figure 25
TARC of the proposed wristband antenna.


### 3.4. SAR Analysis

In body-worn wearable applications, the radiated energy is absorbed by the human body. This can be evaluated by using SAR analysis. The simulations of the antenna on the cylindrical human body model (shown in Figure26) are carried out using the CST Microwave Studio® software using an input power of 1 Watt. The characteristics of the human body tissue model are tabulated in Table 2.Figure 26
Cylindrical human body tissue model of the proposed wristband antenna.Table 2
Characteristics of human body tissue.
Cylindrical human layersFrequency (GHz)Dielectric constant (ɛr)Loss tangent (tanδ)Thickness (mm)Skin2.442.9230.2721337.3580.2786634.2150.35841030.7050.4806Fat2.45.2850.145535.21380.1501164.86080.19612104.55720.23373Muscle2.452.7910.24113351.9360.24804647.0690.349351041.9540.46476Bone2.412.6610.25241238.350.143467.730.173107.60.196The obtained SAR values at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz frequencies are 0.191 W/Kg, 0.195 W/Kg, 0.718 W/Kg, and 0.928 W/Kg, respectively, which are less than the Federal Communications Commission (FCC) limit of 1.6 W/Kg, shownin Figure27. The wristband antenna is also simulated using a human wrist phantom as depicted in Figure 28. The SAR values at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz are 0.308 W/Kg, 0.329 W/Kg, 0.543 W/Kg, and 0.873 W/Kg, respectively. The fabricated antenna prototype (shown in Figure 16(a)) is measured in free space and on a human wrist using the vector network analyzer, as shown in Figures 16(b) and 16(c), respectively. The simulated and measured reflection coefficients in free space and on the human body are depicted in Figure 29. It can be observed that both the simulated and measured reflection coefficients, in free space and on the human body, cover the 2.4 GHz band and UWB.Figure 27
SAR values of the proposed wristband antenna using the cylindrical human tissue model.Figure 28
SAR values of the proposed wristband antenna on the human wrist phantom.Figure 29
Reflection coefficients of the proposed wristband antenna in free space and on the human body.Table 3 compares the proposed wristband antenna with the existing antenna designs. Table3 shows that the proposed wristband antenna covers the UWB and 2.45 GHz ISM band. The proposed antenna is conformal in comparison to the antenna designs reported in [21–25, 28, 29]. It also provides greater than 20 dB isolation when compared with the antenna configurations of [21, 23–26, 28].Table 3
Comparison of the proposed wristband antenna with the existing designs.
Ref.Size (λg × λg)PortsSubstrateBandwidth (GHz)Diversity typeIsolation (dB)[21]0.616 × 0.514Plexi glass24.1–27.18, 33–44.13—>16[22]0.05 × 0.052Roger RO4003 C5.2–6.3Polarization/pattern>22[23]0.443 × 0.228FR-43.1–6Spatial<10[24]0.095 × 0.0142FR-43.33–3.67Pattern>14[25]0.0148 × 0.01482RO43500.665–1.3, 1.415–2, 2.42–3.09, 3.18–3.89—>11.7[26]0.32 × 0.323Taconic TLY-54.63–5.87Pattern>16.5[27]0.996 × 0.1262Coloured plastic7.96–8.76—>21[28]0.095 × 0.0952FR-42.18–2.85Polarization>13[29]0.214 × 0.2144FR-41.71–3.94—>26[30]0.158 × 0.12Jean2.74–12.33—>26Prop.0.437 × 0.0254Silicone rubber2.1–2.6, 3.1–12Pattern>22


## 3.1. S-Parameters

Figures16(a)–16(c) show the fabricated prototype and its S-parameter measurement on the Anritsu MS 2037C vector network analyzer. The simulated and measured S-parameters of the MIMO antenna are given in Figures 17 and 18. The antenna exhibits an impedance bandwidth of 2.05–2.6 GHz in the ISM band and 3.1–12 GHz in the UWB. The refection coefficient curves for Antenna 1, Antenna 2, Antenna 3, and Antenna 4 are all similar; therefore, S11 is only shown at port-1 for brevity. Figure 18 shows the mutual coupling between the antenna elements, which is greater than 20 dB.Figure 16
(a) Photograph of the fabricated prototype, (b) antenna measurement in free space, and (c) antenna measurement on the human wrist.
(a)(b)(c)Figure 17
Simulated and measuredS11 of the proposed wristband antenna.Figure 18
Simulated and measuredSij-parameters of the proposed wristband antenna.


## 3.2. Radiation Performance

The proposed antenna is tested in an anechoic chamber with a horn antenna as the standard reference antenna. The anechoic chamber measurement setup is shown in Figure19. Figure 20 depicts the radiation patterns obtained in free space and on the human wrist at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz. The radiation patterns on the human wrist show suppressed back radiations.Figure 19
Anechoic chamber measurement of the proposed wristband antenna.Figure 20
Radiation patterns of the proposed wristband antenna: (a) 2.4 GHz, E-plane, (b) 2.4 GHz, H-plane, (c) 3 GHz, E-plane, (d) 3 GHz, H-plane, (e) 6 GHz, E-plane, (f) 6 GHz, H-plane, (g) 10 GHz, E-plane, and (h) 10 GHz, H-plane.
(a)(b)(c)(d)(e)(f)(g)(h)The gain and efficiency plots of the proposed antenna are shown in Figure21. The simulated and measured peak gain values are 4.7 dBi and 3.1 dBi, respectively. The difference between simulated and measured gain values is due to the manual fabrication process, cable effect, and SMA connector soldering [17, 18]. It may also be due to conductive adhesives used during fabrication and the tapes during anechoic chamber measurements. Other losses, such as conductor, dielectric, surface radiation, and power leakage from the connector, are also present in the measurements, which were almost negligible in the simulated results. The efficiency of the wristband antenna is greater than 95%.Figure 21
Gain and efficiency of the proposed wristband antenna.


## 3.3. Diversity Performance

Envelope correlation coefficient (ECC) is used to calculate the correlation between antenna elements. It can be calculated using far-field as follows [19]:(4)ECC=∬​F1⟶θ,φ.F2⟶θ,φdΩ2∬​F1⟶θ,φ2dΩ∬​F2⟶θ,φ2dΩ.The ECC of the antenna is shown in Figure22, and the obtained ECC values are <0.1. Diversity gain (DG) refers to the process of transmitting a signal with the minimum loss. It is obtained by using (5). The DG plots are shown in Figure 23, and the DG of the proposed antenna is greater than 9.4 dB.(5)DG=1−ECC2.Figure 22
ECC of the proposed wristband antenna.Figure 23
Diversity gain of the proposed wristband antenna.Channel capacity loss (CCL) is a measure of channel loss in a MIMO system. CCL is calculated using the following equation [20]:(6)CCL=−log2ψR.The total active reflection coefficient (TARC) is defined as the ratio of total reflected powerbi to total incident power ai, as given in the following equation [20]:(7)TARC=∑i=1Nbi2∑i=1Nai2.The measured CCL and TARC values are depicted in Figures24 and 25.Figure 24
CCL of the proposed wristband antenna.Figure 25
TARC of the proposed wristband antenna.


## 3.4. SAR Analysis

In body-worn wearable applications, the radiated energy is absorbed by the human body. This can be evaluated by using SAR analysis. The simulations of the antenna on the cylindrical human body model (shown in Figure26) are carried out using the CST Microwave Studio® software using an input power of 1 Watt. The characteristics of the human body tissue model are tabulated in Table 2.Figure 26
Cylindrical human body tissue model of the proposed wristband antenna.Table 2
Characteristics of human body tissue.
Cylindrical human layersFrequency (GHz)Dielectric constant (ɛr)Loss tangent (tanδ)Thickness (mm)Skin2.442.9230.2721337.3580.2786634.2150.35841030.7050.4806Fat2.45.2850.145535.21380.1501164.86080.19612104.55720.23373Muscle2.452.7910.24113351.9360.24804647.0690.349351041.9540.46476Bone2.412.6610.25241238.350.143467.730.173107.60.196The obtained SAR values at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz frequencies are 0.191 W/Kg, 0.195 W/Kg, 0.718 W/Kg, and 0.928 W/Kg, respectively, which are less than the Federal Communications Commission (FCC) limit of 1.6 W/Kg, shownin Figure27. The wristband antenna is also simulated using a human wrist phantom as depicted in Figure 28. The SAR values at 2.4 GHz, 3 GHz, 6 GHz, and 10 GHz are 0.308 W/Kg, 0.329 W/Kg, 0.543 W/Kg, and 0.873 W/Kg, respectively. The fabricated antenna prototype (shown in Figure 16(a)) is measured in free space and on a human wrist using the vector network analyzer, as shown in Figures 16(b) and 16(c), respectively. The simulated and measured reflection coefficients in free space and on the human body are depicted in Figure 29. It can be observed that both the simulated and measured reflection coefficients, in free space and on the human body, cover the 2.4 GHz band and UWB.Figure 27
SAR values of the proposed wristband antenna using the cylindrical human tissue model.Figure 28
SAR values of the proposed wristband antenna on the human wrist phantom.Figure 29
Reflection coefficients of the proposed wristband antenna in free space and on the human body.Table 3 compares the proposed wristband antenna with the existing antenna designs. Table3 shows that the proposed wristband antenna covers the UWB and 2.45 GHz ISM band. The proposed antenna is conformal in comparison to the antenna designs reported in [21–25, 28, 29]. It also provides greater than 20 dB isolation when compared with the antenna configurations of [21, 23–26, 28].Table 3
Comparison of the proposed wristband antenna with the existing designs.
Ref.Size (λg × λg)PortsSubstrateBandwidth (GHz)Diversity typeIsolation (dB)[21]0.616 × 0.514Plexi glass24.1–27.18, 33–44.13—>16[22]0.05 × 0.052Roger RO4003 C5.2–6.3Polarization/pattern>22[23]0.443 × 0.228FR-43.1–6Spatial<10[24]0.095 × 0.0142FR-43.33–3.67Pattern>14[25]0.0148 × 0.01482RO43500.665–1.3, 1.415–2, 2.42–3.09, 3.18–3.89—>11.7[26]0.32 × 0.323Taconic TLY-54.63–5.87Pattern>16.5[27]0.996 × 0.1262Coloured plastic7.96–8.76—>21[28]0.095 × 0.0952FR-42.18–2.85Polarization>13[29]0.214 × 0.2144FR-41.71–3.94—>26[30]0.158 × 0.12Jean2.74–12.33—>26Prop.0.437 × 0.0254Silicone rubber2.1–2.6, 3.1–12Pattern>22


## 4. Conclusion

A body-worn wristband antenna is proposed in this work. The proposed MIMO antenna is composed of four horizontally placed antenna elements that provide pattern diversity. The proposed antenna has a −10 dB bandwidth of 8.9 GHz (3.1–12 GHz) in the UWB and 0.55 GHz (2.05–2.6 GHz) in the ISM band. SAR analysis is investigated to determine the radiation level for on-body applications. The obtained SAR values satisfy the limits recommended by the FCC. The proposed wristband MIMO antenna, due to its low cost, provides user safety on a limited budget.



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*Source: 9409785-2021-12-30.xml*