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Compact MIMO Antenna for Multiband Mobile Applications

Abstract

This paper presents a multiple input multiple output (MIMO) antenna for multiband operation based on meander lines with L shaped metallic strip. Meander lines is basically a monopole antenna loaded with multiple sections of short circuited transmission line that acts as inductor and alter the impedance characteristics of antenna. Antenna size miniaturization of 69 % has been achieved by placing double U slots on the ground plane and a line slot DGS (Defective Ground Structure) is used to reduce the mutual coupling between the antenna elements. The values of envelope correlation coefficient (ECC) and Specific Absorption Rate (SAR) lie well below the specified limit.

Index Terms
MIMO; mobile antenna; multiband antenna; wireless communications; high isolation; miniaturization

I. INTRODUCTION

With the increasing functionality, the modern mobile handsets are required to operate for a number of applications including real time voice communication, text message service, Wi-Fi, Bluetooth, global positioning system (GPS) and video applications, etc. All these applications require different frequency bands for their operation, which calls for requirement of multiband antennas [1[1] Puente, C., Anguera, J., Borja, C., and Soler, J., “Fractal-Shaped Antennas and their Application to GSM 900/1800,” The Journal of the Institution of British Telecommunications Engineers, vol. 2, part 3, July 2001.4[4] Jayasinghe, J.W., Anguera, J., and Uduwawala, D.N., “ A simple design of multi band microstrip patch antennas robust to fabrication tolerances for GSM, UMTS, LTE, and Bluetooth applications by using genetic algorithm optimization,” Prog. Electromagn. Res. M, vol. 27, pp. 255–269, 2012.]. Moreover, the wireless communication system is plagued with multiple limitations like fading, lower channel capacity, lower bit rate etc. These limitations are needed to be addressed while designing antennas for wireless communication systems.

Multiple-input multiple-output (MIMO) technology has been considered as a basic need for emerging and future wireless communication standards including IEEE 802.11n (Wi-Fi), IEEE 802.11ac (Wi-Fi), HSPA+ (3G), WiMAX (4G), and Long term Evolution (4G) [5[5] Li, Q., Li, G., Lee, W., Lee, M., Mazzarese, D., Clerckx, B., and Li, Z, “MIMO techniques in WiMAX and LTE: A feature overview,” IEEE Commun. Mag., vol. 48, no. 5, pp. 86–92, 2010]. MIMO technology basically enhances the performance of wireless communication systems by improving the transmission speed, channel capacity and bit rate. MIMO utilizes multipath propagation by employing multiple antennas for transmission and reception [6[6] Foschini, G.J., “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Pers. Commun., vol.6, no. 3, pp. 311–335, 1998.]. However, the availability of limited space on handset circuitry makes it difficult to integrate two or more antennas in a mobile device. This problem can be overcome by placing compact antennas very close to each other in the limited available space. When antennas are placed very close, electromagnetic interactions between the elements lead to large mutual coupling which results in impedance mismatch, reduced radiation efficiency and increased antenna correlation coefficient [7[7] Najam, A., Duroc, Y., and Tedjni, S., “UWB-MIMO antenna with novel stub structure,” Prog. Electromagn. Res. C, vol. 19, pp. 245–257, Feb.2011.]. This degrades the performance of MIMO systems. Therefore, it is a challenging task to design MIMO antenna with small size while obtaining high isolation.

There are different techniques for increasing the isolation between the antenna elements of MIMO that includes: use of decoupling and matching networks [8[8] Chen, S.C., Wang, Y.S., and Chung, S.J., “A Decoupling Technique for Increasing the Port Isolation Between Two Strongly Coupled Antennas,” IEEE Trans. Antennas Propag., vol. 56, no. 12, pp. 3650–3658, 2010.9[9] Tang, X., Mouthaan, K., and Coetzee, J.C., “Tunable Decoupling and Matching Network for Diversity Enhancement of Closely Spaced Antennas,” IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 268–271, 2102.], electromagnetic band-gap structures (EBG) [10[10] Yang, F., and Samii, Y.R., “Microstrip Antennas Integrated With Electromagnetic Band-Gap (EBG) Structures: A Low Mutual Coupling Design for Array Applications,” IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2936–2946, 2003.], neutralizing lines [11[11] Tang, T.C., and Lin, K.H., “An ultrawideband MIMO antenna with dual band-notched function,” IEEE Antennas Wireless Propag. Lett., vol. 13, pp. 1076–1079, 2014.], parasitic elements (PE) [12[12] Chu, Q.X., and Chu, J.F., “A compact wider dual-band MIMO antenna array for mobile phone,” in Proc. IEEE Wireless Inf. Technol. Syst. Conf., Honolulu, HI, pp. 1–4, Aug. 2010.] and split ring resonators [13[13] Lihao, H., Huiling, Z., Zhang, H., and Quanming, C., “Reduction of Mutual Coupling between Closely-Packed Antenna Elements with Split Ring Resonator (SRR),” Proc. ICMMT, pp. 1873–1875, 2010.], slots used in the ground planes [14[14] Andujar, A., and Anguera, J., “ MIMO Multiband Antenna System with Non- Resonant Elements,” Microw. Opt. Technol. Lett., vol. 57, no. 1, pp. 183–190, Jan. 2015.]. All these methods can enhance the isolation between the antenna elements by -15 dB or less. But, application of these techniques in the MIMO antenna requires a large area and also complicates the structures. Therefore, these techniques cannot be suitably used in mobile handset applications. Some other techniques like T-shaped slot etched on ground plane and parasitic meander line [15[15] Luo, C.M., Hong, J.S., and Zhong, L.L., “Isolation Enhancement of a Very Compact UWB-MIMO Slot Antenna With Two Defected Ground Structures,” IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 1766 - 1769, 2015.16[16] Lee, J.M., Kim, K.B., Ryu, H.K., and Woo, J.M., “”A Compact Ultrawideband MIMO Antenna With WLAN Band-Rejected Operation for Mobile Devices,” IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 990 - 993, 2012.] are effective techniques for enhancing isolation in mobile devices.

Various types of printed antennas have been proposed for MIMO applications in recent years [17[17] Soltani, S., and Murch, R.D., “A Compact Planar Printed MIMO Antenna Design,” IEEE Trans. Antennas Propag., vol. 63, no. 3, pp. 1140–1149, Mar. 2015.]. Out of these structures, meander line antenna has been widely used in design of these systems because of its low profile and simple structure [18[18] Ide, K., Ijiguchi, S., and Fukusako, T., “Gain enhancement of low-profile, electrically small capacitive feed antennas using stacked meander lines,” International Journal Antennas Propag., Article ID 606717, pp. 8, 2010.]. Meander line antennas are very small in size and can operate at multiple frequency bands hence they are suitable for MIMO applications. These antennas also have some limitations such as low radiation efficiency and low bandwidth.

The proposed research presents a multiband, two element MIMO antenna based on a meander line with L shaped strip. A high degree of miniaturization has been achieved by placing double U slot under the antenna elements on the ground plane. These U slots change the overall current distribution on the ground plane resulting in the current following a longer path that shifts the lowest operating frequency to 1.8 GHz from 5.7 GHz. A high degree of isolation up to -57 dB has been achieved at 1.8 GHz by a line slot DGS that prevents the surface waves to propagate between the antenna elements. DGS etched on ground plane also have lesser effect on original antenna impedance as compared to the traditional isolation techniques.

II. Antenna configuration

The configuration of the proposed multiband MIMO antenna is given in Fig. 1. It is printed on a 102 mm × 80 mm FR4 substrate having thickness of 1.6 mm, relative dielectric constant of 4.4 and a loss tangent of 0.02. The top layer consists of two closely spaced antenna elements with microstrip feed lines. Bottom layer is a metallic ground with two double U slots and a line slot as DGS. The antenna elements are meander line antenna with L shaped strip which are placed symmetrically. Two U slots have been etched out in the ground plane to improve the impedance matching characteristic that provides multiband operation. Line slot reduces the mutual coupling between antenna elements. The proposed antenna has been presented with an extended ground plane to accommodate the circuitry of mobile handset. More details are discussed in the following sections.

Fig. 1
Configuration of proposed MIMO antenna (a) front view (b) back view

A. Antenna Element Design

The geometry of proposed meander line antenna has been shown in Fig. 2(a). The antenna has a size of L1 ×W with d as the line width photo-lithographed on the substrate of dielectric constant of 4.4 and thickness 1.6mm. A microstrip line of length Lf and width wf is used to feed electrical signals to the meander. Each meander line section acts as a load, and they can be considered as transmission lines with shorted terminals as shown in Fig. 2(b). Each section of the meander can be equated to an electrical inductor. The inductance value in the equivalent circuit as shown in Fig. 2(a) can be evaluated using the geometrical parameters: spacing between the loops of the meander line sections (p), width (w), and line width (d). The impedance of the complete meander line section on a substrate can be calculated using the following relation [19[19] Yang, S.M., and Huang, C.H., “An Inductor Model for Analyzing the Performance of Printed Meander Line Antennas in Smart Structures,” Journal Electromagnetic Analysis App, pp. 244–252., Aug. 2014.]:

(1) Z i n = j Z 0 tan ( k w )

where, k=k0εr, k0 is the wave number in free space. The corresponding electrical inductance Lin of each meander section is given in (2), where ω is the operating frequency

(2) L in = 1 w Z 0 tan ( kw )
Fig. 2
(a) Meander configuration (b) its inductor equivalent circuit and (c) S-parameters of proposed MIMO antenna.

The numbers of loops of the meander line are denoted by N. The total electrical inductance of the meander line antenna is given as N × Lin. Current distribution on the meander line along with the ground plane determines the radiation pattern of the antenna. The current along the x -axis in the meander effectively contributes to the incoming field in the E-plane; on the other hand the current distribution along the y-axis will give outgoing field in the E-plane. Hence, the current distribution along the x- axis will determine the radiation field of a meander line antenna [19[19] Yang, S.M., and Huang, C.H., “An Inductor Model for Analyzing the Performance of Printed Meander Line Antennas in Smart Structures,” Journal Electromagnetic Analysis App, pp. 244–252., Aug. 2014.].

The commercial Ansys HFSS software is used to design and simulate the antenna. The parameters of the antenna are L=31 mm, w= 8 mm, p=4 mm, d=1mm, l1= 3.75 mm, Lf=10 mm and wf=2 mm. The obtained S-parameter results for the two element MIMO antenna are given in Fig. 2(c). It is clear that the antenna resonates at 5.7 and 6.5 GHz with S11 value of -19 dB and -21 dB respectively. Mutual coupling (S21) is also -19 dB and -21 dB respectively at these frequencies.

B. Double U Slot

The impedance matching characteristic at low frequencies can be improved by etching two double U-slots of length Lu= 8 mm and width Wu = 1.5 mm on the ground plane under both the antenna elements as shown in Fig. 1(b). The simulated S-parameters of this antenna with modified ground structure are shown in Fig. 3. As observed, slots shift the first resonant frequency of the antenna from 5.7 GHz to 1.8 GHz. Also the antenna now resonates at seven different frequencies providing coverage to most of the wireless bands. The shifting in frequency is due to the excitation of double U slot etched on the ground plane by the field of the antenna as shown in Fig.4. The double U slots change the current distribution and extend the current path adequately. The higher is the extended path of the slots; the lesser will be the first resonant frequency. For the given dimensions and geometry it is evident that this antenna (see Fig. 3(c)) is operating at 1.8 GHz, 2.4 GHz, 3.4 GHz, 4.18 GHz, 5.2 GHz, 5.5 GHz and 6.1 GHz.

Fig. 3
S-parameters of proposed MIMO antenna with double U slot
Fig. 4
Current Distribution (excited port 2) at 1.8 GHz without Line Slot (a) Front view (b) Back View

C. Line Slot

Since the common ground plane has been used by both the antenna elements, it may increase mutual coupling and reduce isolation. The common ground plane for such small antennas acts as a part of their radiating element that leads to the flow of surface waves. These surface waves couple the field to the adjacent elements and increase the correlation between different elements of antenna (see fig.4). A line slot of length Lg = 29mm and width Wg = 2mm has been etched out on the ground plane to prevent these surface waves reaching the other antenna element to achieve batter isolation (see Fig. 6(b)). The results obtained from the simulation of this antenna are shown in Fig. 5 (continuous line) that shows a significant reduction in mutual coupling as compared to the results in Fig. 3, which has low reflection coefficient and isolation at 1.8 GHz. Furthermore, the impedance matching characteristics in the other frequency bands has also improved.

Fig. 5
Simulated and measured S-parameters of proposed MIMO antenna with double U slots and Line slot
Fig.6
Current Distribution (excited port 2) at 1.8 GHz with Line Slot (a) Front view (b) Back View

III. RESULTS AND DISCUSSION

Fig.7 shows the fabricated prototype of the proposed antenna. A Vector Network Analyser has been used for measurement and verification of the antenna performance. The return loss of the antenna was measured by exciting one of the ports of the antenna, whereas the other was terminated with a 50Ω load. It is evident from the graph (see Fig. 5) that both simulated and experimental results are in good agreement.

Fig.7
Fabricated prototype of the proposed antenna (a) Front View (b) Back View

A. Radiation Performance

The radiation characteristics of the proposed antenna at its operating frequencies for E plane at ϕ=00 and ϕ=900 is given in Fig. 8(a) and Fig. 8(b) respectively. It is clear that the proposed antenna is radiating in broadside direction and has a good gain at the operating frequencies. The gain at different resonant frequencies has been tabulated (see Table 1) along with the value of its reflection and coupling coefficients. Maximum gain of 8.35 dB has been achieved at 2.4 GHz. The maximum isolation between the two elements is -57 dB at 1.8 GHz. Also, at other operating frequency bands the isolation is higher than -20 dB.

Fig.8
Radiation characteristics of proposed antenna for E - plane at operating frequency bands (a) ϕ=00 (b) ϕ=900
Table 1
Gain and S- parameters (measured) at different resonant frequencies

B. Diversity Performance

An important consideration in the diversity system is to implement receiver antenna diversity. The antenna diversity performance consists of finding envelope correlation coefficient (ECC) between the two antenna systems. ECC is a measure of the isolation and correlation between the radiation patterns of MIMO receiving antenna pairs. Hence, it is mandatory to achieve a low envelope correlation coefficient (ECC). Assuming, uniform multipath environment between the two antennas, the envelope correlation coefficient (ρ12) can be expressed in terms of spherical parameter δ = (θ, φ) [20[20] Blanch, S., Romeu, J., and Corbella, I., “Uniplanar slot antenna for ultrawideband polarization-diversity applications,” IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 88–91, 2013.21[21] Thaysen, J., and Jakobsen, K.B., “Envelope correlation in (N;N) MIMO antenna array from scattering parameters,” Microw. Opt. Technol. Lett., vol. 48, pp. 832–834, 2006.].

(3) ρ 12 = | ( A + B ) d δ | 2 ( C ) d δ . ( D ) d δ

Where the value of the following abbreviations is given as A= (ΧΡR.Εθ1(δ).Eθ2*(δ)), B=Εφ1(δ)Eφ2*(δ), C=XPR. Gθ1(δ) + Gφ2(δ)), D= (XPR. Gθ2(δ) + Gφ2(δ)) and Gθ1 = Εθ1(δ)Eθ1*(δ), Gθ2 = Εθ2(δ)Eθ2*(δ), Eθ1(δ)Eθ1*(δ) and Εθ2(δ) Eθ2*(δ) are the vertically and horizontally polarised complex radiation pattern of antenna 1 and antenna 2 respectively, XPR is cross polar discrimination which is termed as time averaged vertical to horizontal power ratio.

Envelope correlation coefficient can also be found by using scattering parameters of antenna. The envelope correlation coefficient can be calculated using scattering parameters by using equation (4) [22[22] Chacko, B.P., Augustin, G., and Denidni, T.A., “Uniplanar slot antenna for ultrawideband polarization-diversity applications,” IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 88–91, 2013.]. However, the given equation 4 is valid if radiation efficiencies are 100 %, otherwise it may introduce errors. The equation 3 given above is preferred for practical purposes.

(4) ρ 12 = | S 11 * S 12 + S 21 * S 22 | 2 ( 1 ( | S 11 | 2 + | S 21 | 2 ) ) ( 1 ( | S 22 | 2 + | S 12 | 2 ) )

Maximum acceptable value of Envelope correlation coefficient is 0.5 for good diversity performance [23[23] Han, M., and Choi, J., “Small-size printed MIMO antenna for next generation mobile handset application,” Microw. Opt. Technol. Lett., vol. 53, no. 2, pp. 248–352, Feb. 2011.]. To evaluate diversity performance of the proposed antenna, the envelope correlation coefficient has been calculated for both measured and simulated results (see Fig. 9). It shows that the proposed MIMO configuration has the value of ECC well below 0.05 over the complete frequency range. The simulated results agree well with those from measured results.

Fig.9
Measured envelope correlation coefficient

C. SAR

SAR is an abbreviation for Specific Absorption Rate. It estimates the amount of power absorbed in the living tissues of human body while using a mobile phone. The higher the value of SAR, the more radiation will be absorbed into human head, and causes undesired biological hazards [24[24] Siegbahn, M., Babik, G.B., Keshvari, J., Christ, A., Derat, B., Monebhurrun, V., Penney, C., Vogel, M., and Wittig, T., “An International Interlaboratory Comparison of Mobile Phone SAR Calculation With CAD-Based Models,” IEEE Trans. Electromagnetic Compatibility, vol. 52, no. 4, pp. 804–811, Nov. 2010.]. SAR can be defined as:

(5) S A R = P ρ = σ E 2 2 ρ

where P is the density of power absorbed in the human head, σ and ρ are the electrical conductivity (Kg/m3) and density (S/m) of the head tissue respectively, and E is the induced electric field (V/m). Unit of SAR is W/kg.

The values of SAR at different operating frequencies have been calculated for the proposed structure with and without DGS (see Table 2). The value of SAR has been estimated over 1 g and 10 g head tissues. It has been observed that the introduction of DGS in the ground plane reduces the surface wave propagating along the substrate and reduces back radiation. Hence, antenna with DGS has lesser SAR values as compared to antenna without DGS. This may be attributed to the improvement in the radiation performance of the antenna. These values are well below the acceptable limits set by ANSI/IEEE and FCC.

Table 2
SAR values of the designed antenna

CONCLUSION

This paper presents a multiband MIMO antenna that can be used for multiple wireless communication technologies such as GSM 1800/1900, WCDMA, Wi-Fi, wireless LAN, LTE etc. A low profile meander line antenna with L strip has been used as a radiating element. In order to achieve a multiband operation, two double U slots have been etched out in the ground plane of this antenna that alter the overall current distribution on the ground plane and miniaturization up to 69% has been reported. To enhance the isolation between two radiating elements of MIMO, a line slot has been etched out on the ground plane between two elements that prevents the propagation of surface waves and hence an isolation as high as -57 dB has been achieved at 1.8 GHz. Gain varies between 4.47 dBi to 8.35 dBi for all the resonant frequencies with maximum gain at 2.4 GHz. The envelope correlation coefficient (ECC) and Specific Absorption Rate (SAR) are also in the acceptable limits. The antenna prototype has been fabricated and the measured results are in good agreement with the simulation results. Moreover, presented antenna is very compact, low cost, conformal and very simple to design that shows very good radiation characteristics over its operating frequency bands.

REFERENCES

  • [1]
    Puente, C., Anguera, J., Borja, C., and Soler, J., “Fractal-Shaped Antennas and their Application to GSM 900/1800,” The Journal of the Institution of British Telecommunications Engineers, vol. 2, part 3, July 2001.
  • [2]
    Risco, S., Anguera, J., Andujar, A., Perez, A., and Puente, C., “ Coupled Monopole Antenna Design for Multiband Handset Devices,” Microw. Opt. Technol. Lett., vol. 52, no. 10, pp. 359–364, Feb. 2010.
  • [3]
    Anguera, J., Puente, C., and Borja, C., “ Dual Frequency Broadband Microstrip Antenna With a Reactive Loading and Stacked Elements,” Prog. Electromagn. Res. Lett., vol. 10, pp. 1–10, 2009.
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    Jayasinghe, J.W., Anguera, J., and Uduwawala, D.N., “ A simple design of multi band microstrip patch antennas robust to fabrication tolerances for GSM, UMTS, LTE, and Bluetooth applications by using genetic algorithm optimization,” Prog. Electromagn. Res. M, vol. 27, pp. 255–269, 2012.
  • [5]
    Li, Q., Li, G., Lee, W., Lee, M., Mazzarese, D., Clerckx, B., and Li, Z, “MIMO techniques in WiMAX and LTE: A feature overview,” IEEE Commun. Mag, vol. 48, no. 5, pp. 86–92, 2010
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    Foschini, G.J., “On limits of wireless communications in a fading environment when using multiple antennas,” Wireless Pers. Commun, vol.6, no. 3, pp. 311–335, 1998.
  • [7]
    Najam, A., Duroc, Y., and Tedjni, S., “UWB-MIMO antenna with novel stub structure,” Prog. Electromagn. Res. C, vol. 19, pp. 245–257, Feb.2011.
  • [8]
    Chen, S.C., Wang, Y.S., and Chung, S.J., “A Decoupling Technique for Increasing the Port Isolation Between Two Strongly Coupled Antennas,” IEEE Trans. Antennas Propag., vol. 56, no. 12, pp. 3650–3658, 2010.
  • [9]
    Tang, X., Mouthaan, K., and Coetzee, J.C., “Tunable Decoupling and Matching Network for Diversity Enhancement of Closely Spaced Antennas,” IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 268–271, 2102.
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    Yang, F., and Samii, Y.R., “Microstrip Antennas Integrated With Electromagnetic Band-Gap (EBG) Structures: A Low Mutual Coupling Design for Array Applications,” IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2936–2946, 2003.
  • [11]
    Tang, T.C., and Lin, K.H., “An ultrawideband MIMO antenna with dual band-notched function,” IEEE Antennas Wireless Propag. Lett., vol. 13, pp. 1076–1079, 2014.
  • [12]
    Chu, Q.X., and Chu, J.F., “A compact wider dual-band MIMO antenna array for mobile phone,” in Proc. IEEE Wireless Inf. Technol. Syst. Conf., Honolulu, HI, pp. 1–4, Aug. 2010.
  • [13]
    Lihao, H., Huiling, Z., Zhang, H., and Quanming, C., “Reduction of Mutual Coupling between Closely-Packed Antenna Elements with Split Ring Resonator (SRR),” Proc. ICMMT, pp. 1873–1875, 2010.
  • [14]
    Andujar, A., and Anguera, J., “ MIMO Multiband Antenna System with Non- Resonant Elements,” Microw. Opt. Technol. Lett., vol. 57, no. 1, pp. 183–190, Jan. 2015.
  • [15]
    Luo, C.M., Hong, J.S., and Zhong, L.L., “Isolation Enhancement of a Very Compact UWB-MIMO Slot Antenna With Two Defected Ground Structures,” IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 1766 - 1769, 2015.
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    Lee, J.M., Kim, K.B., Ryu, H.K., and Woo, J.M., “”A Compact Ultrawideband MIMO Antenna With WLAN Band-Rejected Operation for Mobile Devices,” IEEE Antennas Wireless Propag. Lett., vol. 11, pp. 990 - 993, 2012.
  • [17]
    Soltani, S., and Murch, R.D., “A Compact Planar Printed MIMO Antenna Design,” IEEE Trans. Antennas Propag., vol. 63, no. 3, pp. 1140–1149, Mar. 2015.
  • [18]
    Ide, K., Ijiguchi, S., and Fukusako, T., “Gain enhancement of low-profile, electrically small capacitive feed antennas using stacked meander lines,” International Journal Antennas Propag., Article ID 606717, pp. 8, 2010.
  • [19]
    Yang, S.M., and Huang, C.H., “An Inductor Model for Analyzing the Performance of Printed Meander Line Antennas in Smart Structures,” Journal Electromagnetic Analysis App, pp. 244–252., Aug. 2014.
  • [20]
    Blanch, S., Romeu, J., and Corbella, I., “Uniplanar slot antenna for ultrawideband polarization-diversity applications,” IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 88–91, 2013.
  • [21]
    Thaysen, J., and Jakobsen, K.B., “Envelope correlation in (N;N) MIMO antenna array from scattering parameters,” Microw. Opt. Technol. Lett., vol. 48, pp. 832–834, 2006.
  • [22]
    Chacko, B.P., Augustin, G., and Denidni, T.A., “Uniplanar slot antenna for ultrawideband polarization-diversity applications,” IEEE Antennas Wireless Propag. Lett., vol. 12, pp. 88–91, 2013.
  • [23]
    Han, M., and Choi, J., “Small-size printed MIMO antenna for next generation mobile handset application,” Microw. Opt. Technol. Lett., vol. 53, no. 2, pp. 248–352, Feb. 2011.
  • [24]
    Siegbahn, M., Babik, G.B., Keshvari, J., Christ, A., Derat, B., Monebhurrun, V., Penney, C., Vogel, M., and Wittig, T., “An International Interlaboratory Comparison of Mobile Phone SAR Calculation With CAD-Based Models,” IEEE Trans. Electromagnetic Compatibility, vol. 52, no. 4, pp. 804–811, Nov. 2010.

Publication Dates

  • Publication in this collection
    June 2017

History

  • Received
    26 Jan 2017
  • Reviewed
    02 Feb 2017
  • Accepted
    14 Apr 2017
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