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TELKOMNIKA Indonesian Journal of Electrical Engineering
Vol. 14, No. 2, May 2015, pp. 323 ~ 328
DOI: 10.11591/telkomnika.v14i2.7479  323
Received February 8, 2018; Revised April 13, 2015; Accepted April 29, 2015
U-slot Circular Patch Antenna for WLAN Application
Arshad Wahab*, Jiadong Xu
Northwestern Polytechnic University, 710129, Shaanxi, Xian, China
*Corresponding author, e-mail: arshadwahab90@gmail.com
Abstract
A dual-frequency microstrip patch antennas has been presented and used for 802.11WLAN
applications. The antennas had been designed, simulated and parametrically studied in CST Microwave
studio. By introducing u-slot, dual-band operation with its operating mode centered at frequency 2.4GHz,
3.65GHz and 5.2GHz had been obtained. The gain and directivity had been improved by adjusting the
parameters of the antennas. The gain of the proposed designs was 6.019dBi, 4.04dBi and 6.22dBi and
directivity was 6.02dBi, 4.05dBi and 6.22dBi at resonant frequencies 2.4GHz, 3.6GHz and 5.2GHz
respectively. The patch antennas had been proposed to be used in portable devices that require
miniaturized constituent parts.
.
Keywords: dual band, WLAN, circular patch, antenna
Copyright © 2015 Institute of Advanced Engineering and Science. All rights reserved.
1. Introduction
Multiband antenna are widely used in wireless communication systems like mobile
phone, laptop etc. The size of these devices is becoming smaller rapidly due to the concept of
miniaturization. Consequently the size of the antenna should be small to fit inside them. By
introducing slots in circular patch antenna having single frequency band can be modified into
multiband antenna. The size and position of slot are important in determining the resonance
frequency. The shapes of the slots like C, E, F, H, L, V, U etc are being used for the desire
performance. More than one slot of different shapes is used for different multiband applications.
The u-slot was used in which the antenna performed wideband behavior and linearly polarized
[1], but they have the disadvantages of large size and complications in fabrication.
Recently many design of dual band patch antenna have been analyzed. For example
the antenna in [2] having rectangular patch and straight strips with different size. The antenna
presented in [3], a microwave substrate was used having broad band characteristic, but the
dimension of the ground (120mm × 100mm) was large for mobile devices. In [4] the high
frequency performances have been improved by modified ground plane on the bottom layer.
CPW fed monopole antennas have been presented in order to meet the dual band requirements
like G-shaped [4]. The third band centered at 3.4 GHz useful for WiMAX has been achieved by
triangular antenna having cross shape inside it [5]. Many researches show that the wide band
characteristic of the antenna can be made as multiband by changing the flow of the surface
current in the patch [6-8]. The pin diodes have been used in antenna for switching between
linear and circular polarization with changing the size of the slot [9].Slots and notches loaded
microstrip patch antenna for dual band operation [10], and a finger shaped antenna for wireless
communication GSM/DCS/IMT [11]. It is the fact that multiband characteristics can be achieved
by intelligent placement of slot in the patch antenna. The paper is composed of dual band u-slot
circular path antennas. The resonance frequencies have been shifted by changing the size of
slot. The dimensions and performance of the antenna have been carefully analyzed. The
proposed antennas have the advantages of small size, light weight and ease of fabrication,
which make the designs suitable for portable devices like mobile handset, laptop, gaming
console etc. The bandwidth of the operating bands has sufficient to cover the IEEE802.11a/b/y
standards of wide local area networks applications.
 ISSN: 2302-4046
TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328
324
2. Antenna Design
The value of dielectric constant (ԑr) of the substrate of the antenna A is 4.3 and B is 2.2.
The length and width of the ground are same as that of substrate. The ground plane reflects the
electromagnetic waves. The full ground plane creates directional radiation while partial ground
plane produces omni-directional radiation pattern. The excitation of antenna is given through
coaxial feed line. The capacitances due to u-slot cancelled the inductance produce by the
coaxial probe. The characteristics impedance of coaxial cable 50ohm has matched with the
input impedance of the patch antenna.
Table 1 shows the parameters of the proposed designs. All the dimensions are in mm
and dielectric constant (ԑr) is unitless. The characteristics of the patch antenna have been
analyzed by many parametric and simulation studies made by many researchers across the
world [12-14]. But no empirical formulas have been reported yet. The design of microstrip
circular patch antenna, the parameters such as dielectric constant (ԑr), resonance frequency (fr),
and height (h) are consider for determining the radius of the patch. The dimensions of circular
patch antenna are calculated as;
Figure 1. U-slot Patch Antenna with dimension variables
Table 1. Parameters of the proposed antennas
Designs L W a b c ԑr r h
Antenna A 53 43 17.2 14.2 2.6 4.3 16 5
Antenna B 53 43 23.4 16.16 2.38 2.2 14.9 4.3
	
			 	
.
	 (1)
F 	
. 	
√ε
(2)
Where F is fringing effect which makes the patch electrically larger. The effective radius of the
antenna is:
1 ln 1.7726 (3)
3. Results and Discussion
The simulations have been carried out using CST Microwave Studio. The reflection
coefficient S11 of the antennas is calculated in dB. At port 1 where input to the antenna has
applied the scattering parameter S11 gives reflection coefficient which should be less than -
10dB.The return loss of the antennas is shown in the Figure 2. In all resonance frequencies the
return loss of antenna A and B are less than -10dB. The impedance of the antennas are
illustrated in Figure 4, which show that antennas have good impedance matching. Each curve
TELKOMNIKA ISSN: 2302-4046 
U-slot Circular Patch Antenna for WLAN Application (Arshad Wahab)
325
cross -10dB is representing frequency band. The return loss of the antenna A is -15.68dB at
resonant frequency 3.65GHz which indicates good impedance matching. In 5.2GHz the return
loss of antenna B crossing -10dB, but the bandwidth is (5.10-5.40) = 300MHz, which is sufficient
to match with IEEE802.11a standard. By changing u-slot broadness the second resonance
frequency 5.25GHz can be shifted to 5.76GHz band. In case of antenna B this variation causes
shifting of resonance frequency to 2.45GHz.
2 3 4 5 6 7
-16
-14
-12
-10
-8
-6
-4
-2
0
2
|S11|,dB
Frequency,G H z
|S 11
| of antenna A
|S 11
| of antenna B
Figure 2. Reflection coefficient vs frequency plot of antenna A and antenna B
The Voltage standing wave ratio can be calculated by using the following equation.
VSWR
| |
| |
(4)
S11 is known as reflection coefficient which is the complex number where the magnitude
is used to determine Voltage standing wave ratio. At 2.4GHz antenna A has the VSWR value of
1.16 because of good impedance matching as compared to antenna B. At the resonance
frequency 3.65GHz the antenna A has the VSWR value of 1.13 which does not show much
variation.
The gain and directivity of proposed designs are shown in figure 3. Antenna B has lower
gain and directivity as compare to antenna A.The gains of antenna A at resonance frequency
2.45GHz and 3.65GHz are 6.02dBi and 4.05dBi respectively. At resonance frequencies
5.25GHz the gain of antennas B is 6.22dBi. Likewise the directivity of antenna A and B are
6.019dBi and 4.046dBi at resonance frequencies 2.4GHz and 3.65GHz respectively and at
resonance frequencies 5.25GHz; the directivity of the antenna A is 6.22dBi.
2 3 4 5 6 7
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
Directivity,dBi
Frequency,GHz
Directivity of antenna A
Directivity of antenna B
2 3 4 5 6 7
-15
-10
-5
0
5
10
15
Gain,dB
Frequency,GHz
Gain of antenna A
Gain of antenna B
Figure 3. Directivity and Gain of antenna A and antenna B
 ISSN: 2302-4046
TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328
326
2 3 4 5 6 7
0
2 0
4 0
6 0
8 0
Impedance
F re q u e n c y,G H z
Im p e d a n c e o f a n te n n a A
Im p e d a n c e o f a n te n n a B
Figure 4. Impedance of antenna A and antenna B
The proposed antennas have directional radiation patterns. The main lobes having
maximum power radiate directly above the patch, shown in each plot in the Figure 5 and 6. The
half power beam width in the elevation plan is indicated in the plots. The half power beam width
depends on the directivity which is decreasing with increasing directivity of the antenna. The
three dimensional radiation patterns of the proposed designs demonstrate that the maximum
radiation occurs from the top of the patch surface.The maximum power in the main lobe is
directed above the patch. The directivity and gain of the antenna are also shown in the 3D
radiation pattern.
(a)
(b)
Figure 5. 3D Radiation patterns of antenna A (a) 2.45GHz (b) 3.65GHz
TELKOMNIKA ISSN: 2302-4046 
U-slot Circular Patch Antenna for WLAN Application (Arshad Wahab)
327
(a)
(b)
Figure 6. 3D Radiation patterns of antenna B (a) 3.6GHz (b) 5.2GHz
4. Conclusion
Two dual band u-slot circular patch antennas have been designed for WLAN
application. The dimensions of these antennas are small and have remarkable performance
characteristics. The antennas have good return loss and radiation patterns at the resonance
frequencies of 2.5GHz, 3.67GHz and 5.2GHz. The resonance frequencies depend on the
parameters of the patch, material and thickness of the substrate. By adjusting the parameters of
the antenna the gain and directivity have improved.
References
[1] T Huynh, KF Lee. Single-layer single-patch wideband microstrip antenna. Electronics Letter. 1995; 31:
1310-1312.
[2] Ren XS, YZ Yin, W Hu, Y-Q Wei. Compact triband rectangular ring patch antenna with asymmetrical
strips for WLAN/WIMAX applications. Journal of Electromagnetic Waves and Application. 2010; 24:
1829-1838.
[3] Li ZQ, CL Ruan, L Peng, XH Wu. Design of a simple multiband antenna with a parasitic C-shaped
strip. Journal of Electromagnetic Waves and applications. 2010; 24: 1921-1929.
[4] Liu WC. Optimal design of dual band CPW-fed G-shaped monopole antenna for WLAN application.
Progress in Electromagnetic Research. 2007; 74: 21-38.
[5] Song Y, YC Jiao, G Zhao, FS Zhang. Multiband CPW-fed triangular-shaped monopole antenna for
wireless application. Progress in Electromagnetic Research. 2007; 70: 329-336.
[6] YX Guo, KM Luk, KF Lee, YL Chow. Double u-slot rectangular patch antenna. Electronics Letters.
1998; 34: 1805-1806.
[7] KF Lee, S Yang, AA Kishk. Dual and multiband u-slot patch antennas. IEEE Antennas Wireless
Propagation Lett. 2008; 7: 645-647.
[8] KF Lee, KM Luk, T Mak, S Yang. Dual and triple band stacked patch antennas with u-slots.
Proceedings of Fourth European Conference on Antennas and Propagation (EuCAP). Barcelona,
Spain. 2010: 1-5.
 ISSN: 2302-4046
TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328
328
[9] PY Qin, AR Weily, YJ Guo, CH Liang. Polarization reconfigurable u-slot patch antenna. IEEE
Transaction Antennas Propagation. 2010; 58: 3383-3388.
[10] Ashish Singh, Kamakshi Kamakshi, Mohd. Aneesh, JA Ansari. Slots and Notches Loaded Microstrip
Patch Antenna for Wireless Communication. TELKOMNIKA Indonesian Journal of Electrical
Engineering. 2015; 13(3): 584-594.
[11] Fayadh AR, Malek MFA, Fadhil AH, Wee HF. Planar Finger-Shaped Antenna used in Ultra-
Wideband Wireless Systems. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2014;
12(2): 419-428.
[12] Tariq Rahim, Arshad Wahab, Xu Jiadong. Design of Radome Enclosed Omnidirectional Antenna for
Airborne Applicaations. SOP Transactions on Wireless Commnications. 2014; 1(2): 51-55.
[13] Arshad Wahab, Xu Jiadong, Tariq Rahim. Design and Simulation based study of single band
microstrip patch antenna for GSM900, mobile communication. IOSR journal of Electrical and
Electronics Engineering. 2014; 9(1): 51-54.
[14] Arshad Wahab, Xu Jiadong, Tariq Rahim. Design and performance Evaluation of microstrip patch
antenna at 5.4GHz. International Journal of enhanced research in science technology and
Engineering. 2014; 3(1): 330-334.

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U-slot Circular Patch Antenna for WLAN Application

  • 1. TELKOMNIKA Indonesian Journal of Electrical Engineering Vol. 14, No. 2, May 2015, pp. 323 ~ 328 DOI: 10.11591/telkomnika.v14i2.7479  323 Received February 8, 2018; Revised April 13, 2015; Accepted April 29, 2015 U-slot Circular Patch Antenna for WLAN Application Arshad Wahab*, Jiadong Xu Northwestern Polytechnic University, 710129, Shaanxi, Xian, China *Corresponding author, e-mail: arshadwahab90@gmail.com Abstract A dual-frequency microstrip patch antennas has been presented and used for 802.11WLAN applications. The antennas had been designed, simulated and parametrically studied in CST Microwave studio. By introducing u-slot, dual-band operation with its operating mode centered at frequency 2.4GHz, 3.65GHz and 5.2GHz had been obtained. The gain and directivity had been improved by adjusting the parameters of the antennas. The gain of the proposed designs was 6.019dBi, 4.04dBi and 6.22dBi and directivity was 6.02dBi, 4.05dBi and 6.22dBi at resonant frequencies 2.4GHz, 3.6GHz and 5.2GHz respectively. The patch antennas had been proposed to be used in portable devices that require miniaturized constituent parts. . Keywords: dual band, WLAN, circular patch, antenna Copyright © 2015 Institute of Advanced Engineering and Science. All rights reserved. 1. Introduction Multiband antenna are widely used in wireless communication systems like mobile phone, laptop etc. The size of these devices is becoming smaller rapidly due to the concept of miniaturization. Consequently the size of the antenna should be small to fit inside them. By introducing slots in circular patch antenna having single frequency band can be modified into multiband antenna. The size and position of slot are important in determining the resonance frequency. The shapes of the slots like C, E, F, H, L, V, U etc are being used for the desire performance. More than one slot of different shapes is used for different multiband applications. The u-slot was used in which the antenna performed wideband behavior and linearly polarized [1], but they have the disadvantages of large size and complications in fabrication. Recently many design of dual band patch antenna have been analyzed. For example the antenna in [2] having rectangular patch and straight strips with different size. The antenna presented in [3], a microwave substrate was used having broad band characteristic, but the dimension of the ground (120mm × 100mm) was large for mobile devices. In [4] the high frequency performances have been improved by modified ground plane on the bottom layer. CPW fed monopole antennas have been presented in order to meet the dual band requirements like G-shaped [4]. The third band centered at 3.4 GHz useful for WiMAX has been achieved by triangular antenna having cross shape inside it [5]. Many researches show that the wide band characteristic of the antenna can be made as multiband by changing the flow of the surface current in the patch [6-8]. The pin diodes have been used in antenna for switching between linear and circular polarization with changing the size of the slot [9].Slots and notches loaded microstrip patch antenna for dual band operation [10], and a finger shaped antenna for wireless communication GSM/DCS/IMT [11]. It is the fact that multiband characteristics can be achieved by intelligent placement of slot in the patch antenna. The paper is composed of dual band u-slot circular path antennas. The resonance frequencies have been shifted by changing the size of slot. The dimensions and performance of the antenna have been carefully analyzed. The proposed antennas have the advantages of small size, light weight and ease of fabrication, which make the designs suitable for portable devices like mobile handset, laptop, gaming console etc. The bandwidth of the operating bands has sufficient to cover the IEEE802.11a/b/y standards of wide local area networks applications.
  • 2.  ISSN: 2302-4046 TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328 324 2. Antenna Design The value of dielectric constant (ԑr) of the substrate of the antenna A is 4.3 and B is 2.2. The length and width of the ground are same as that of substrate. The ground plane reflects the electromagnetic waves. The full ground plane creates directional radiation while partial ground plane produces omni-directional radiation pattern. The excitation of antenna is given through coaxial feed line. The capacitances due to u-slot cancelled the inductance produce by the coaxial probe. The characteristics impedance of coaxial cable 50ohm has matched with the input impedance of the patch antenna. Table 1 shows the parameters of the proposed designs. All the dimensions are in mm and dielectric constant (ԑr) is unitless. The characteristics of the patch antenna have been analyzed by many parametric and simulation studies made by many researchers across the world [12-14]. But no empirical formulas have been reported yet. The design of microstrip circular patch antenna, the parameters such as dielectric constant (ԑr), resonance frequency (fr), and height (h) are consider for determining the radius of the patch. The dimensions of circular patch antenna are calculated as; Figure 1. U-slot Patch Antenna with dimension variables Table 1. Parameters of the proposed antennas Designs L W a b c ԑr r h Antenna A 53 43 17.2 14.2 2.6 4.3 16 5 Antenna B 53 43 23.4 16.16 2.38 2.2 14.9 4.3 . (1) F . √ε (2) Where F is fringing effect which makes the patch electrically larger. The effective radius of the antenna is: 1 ln 1.7726 (3) 3. Results and Discussion The simulations have been carried out using CST Microwave Studio. The reflection coefficient S11 of the antennas is calculated in dB. At port 1 where input to the antenna has applied the scattering parameter S11 gives reflection coefficient which should be less than - 10dB.The return loss of the antennas is shown in the Figure 2. In all resonance frequencies the return loss of antenna A and B are less than -10dB. The impedance of the antennas are illustrated in Figure 4, which show that antennas have good impedance matching. Each curve
  • 3. TELKOMNIKA ISSN: 2302-4046  U-slot Circular Patch Antenna for WLAN Application (Arshad Wahab) 325 cross -10dB is representing frequency band. The return loss of the antenna A is -15.68dB at resonant frequency 3.65GHz which indicates good impedance matching. In 5.2GHz the return loss of antenna B crossing -10dB, but the bandwidth is (5.10-5.40) = 300MHz, which is sufficient to match with IEEE802.11a standard. By changing u-slot broadness the second resonance frequency 5.25GHz can be shifted to 5.76GHz band. In case of antenna B this variation causes shifting of resonance frequency to 2.45GHz. 2 3 4 5 6 7 -16 -14 -12 -10 -8 -6 -4 -2 0 2 |S11|,dB Frequency,G H z |S 11 | of antenna A |S 11 | of antenna B Figure 2. Reflection coefficient vs frequency plot of antenna A and antenna B The Voltage standing wave ratio can be calculated by using the following equation. VSWR | | | | (4) S11 is known as reflection coefficient which is the complex number where the magnitude is used to determine Voltage standing wave ratio. At 2.4GHz antenna A has the VSWR value of 1.16 because of good impedance matching as compared to antenna B. At the resonance frequency 3.65GHz the antenna A has the VSWR value of 1.13 which does not show much variation. The gain and directivity of proposed designs are shown in figure 3. Antenna B has lower gain and directivity as compare to antenna A.The gains of antenna A at resonance frequency 2.45GHz and 3.65GHz are 6.02dBi and 4.05dBi respectively. At resonance frequencies 5.25GHz the gain of antennas B is 6.22dBi. Likewise the directivity of antenna A and B are 6.019dBi and 4.046dBi at resonance frequencies 2.4GHz and 3.65GHz respectively and at resonance frequencies 5.25GHz; the directivity of the antenna A is 6.22dBi. 2 3 4 5 6 7 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Directivity,dBi Frequency,GHz Directivity of antenna A Directivity of antenna B 2 3 4 5 6 7 -15 -10 -5 0 5 10 15 Gain,dB Frequency,GHz Gain of antenna A Gain of antenna B Figure 3. Directivity and Gain of antenna A and antenna B
  • 4.  ISSN: 2302-4046 TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328 326 2 3 4 5 6 7 0 2 0 4 0 6 0 8 0 Impedance F re q u e n c y,G H z Im p e d a n c e o f a n te n n a A Im p e d a n c e o f a n te n n a B Figure 4. Impedance of antenna A and antenna B The proposed antennas have directional radiation patterns. The main lobes having maximum power radiate directly above the patch, shown in each plot in the Figure 5 and 6. The half power beam width in the elevation plan is indicated in the plots. The half power beam width depends on the directivity which is decreasing with increasing directivity of the antenna. The three dimensional radiation patterns of the proposed designs demonstrate that the maximum radiation occurs from the top of the patch surface.The maximum power in the main lobe is directed above the patch. The directivity and gain of the antenna are also shown in the 3D radiation pattern. (a) (b) Figure 5. 3D Radiation patterns of antenna A (a) 2.45GHz (b) 3.65GHz
  • 5. TELKOMNIKA ISSN: 2302-4046  U-slot Circular Patch Antenna for WLAN Application (Arshad Wahab) 327 (a) (b) Figure 6. 3D Radiation patterns of antenna B (a) 3.6GHz (b) 5.2GHz 4. Conclusion Two dual band u-slot circular patch antennas have been designed for WLAN application. The dimensions of these antennas are small and have remarkable performance characteristics. The antennas have good return loss and radiation patterns at the resonance frequencies of 2.5GHz, 3.67GHz and 5.2GHz. The resonance frequencies depend on the parameters of the patch, material and thickness of the substrate. By adjusting the parameters of the antenna the gain and directivity have improved. References [1] T Huynh, KF Lee. Single-layer single-patch wideband microstrip antenna. Electronics Letter. 1995; 31: 1310-1312. [2] Ren XS, YZ Yin, W Hu, Y-Q Wei. Compact triband rectangular ring patch antenna with asymmetrical strips for WLAN/WIMAX applications. Journal of Electromagnetic Waves and Application. 2010; 24: 1829-1838. [3] Li ZQ, CL Ruan, L Peng, XH Wu. Design of a simple multiband antenna with a parasitic C-shaped strip. Journal of Electromagnetic Waves and applications. 2010; 24: 1921-1929. [4] Liu WC. Optimal design of dual band CPW-fed G-shaped monopole antenna for WLAN application. Progress in Electromagnetic Research. 2007; 74: 21-38. [5] Song Y, YC Jiao, G Zhao, FS Zhang. Multiband CPW-fed triangular-shaped monopole antenna for wireless application. Progress in Electromagnetic Research. 2007; 70: 329-336. [6] YX Guo, KM Luk, KF Lee, YL Chow. Double u-slot rectangular patch antenna. Electronics Letters. 1998; 34: 1805-1806. [7] KF Lee, S Yang, AA Kishk. Dual and multiband u-slot patch antennas. IEEE Antennas Wireless Propagation Lett. 2008; 7: 645-647. [8] KF Lee, KM Luk, T Mak, S Yang. Dual and triple band stacked patch antennas with u-slots. Proceedings of Fourth European Conference on Antennas and Propagation (EuCAP). Barcelona, Spain. 2010: 1-5.
  • 6.  ISSN: 2302-4046 TELKOMNIKA Vol. 14, No. 2, May 2015 : 323 – 328 328 [9] PY Qin, AR Weily, YJ Guo, CH Liang. Polarization reconfigurable u-slot patch antenna. IEEE Transaction Antennas Propagation. 2010; 58: 3383-3388. [10] Ashish Singh, Kamakshi Kamakshi, Mohd. Aneesh, JA Ansari. Slots and Notches Loaded Microstrip Patch Antenna for Wireless Communication. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2015; 13(3): 584-594. [11] Fayadh AR, Malek MFA, Fadhil AH, Wee HF. Planar Finger-Shaped Antenna used in Ultra- Wideband Wireless Systems. TELKOMNIKA Indonesian Journal of Electrical Engineering. 2014; 12(2): 419-428. [12] Tariq Rahim, Arshad Wahab, Xu Jiadong. Design of Radome Enclosed Omnidirectional Antenna for Airborne Applicaations. SOP Transactions on Wireless Commnications. 2014; 1(2): 51-55. [13] Arshad Wahab, Xu Jiadong, Tariq Rahim. Design and Simulation based study of single band microstrip patch antenna for GSM900, mobile communication. IOSR journal of Electrical and Electronics Engineering. 2014; 9(1): 51-54. [14] Arshad Wahab, Xu Jiadong, Tariq Rahim. Design and performance Evaluation of microstrip patch antenna at 5.4GHz. International Journal of enhanced research in science technology and Engineering. 2014; 3(1): 330-334.