Minimization of Mutual Coupling Using Neutralization Line Technique for 2.4 GHz Wireless Applications

Similar documents
Compact and Low Profile MIMO Antenna for Dual-WLAN-Band Access Points

Progress In Electromagnetics Research C, Vol. 32, , 2012

INTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY

A COMPACT CPW-FED MONOPOLE ANTENNA WITH A U-SHAPED STRIP AND A PAIR OF L-SLITS GROUND FOR WLAN AND WIMAX APPLICATIONS

Miniature Multiband Antenna for WLAN and X-Band Satellite Communication Applications

A COMPACT MULTIBAND MONOPOLE ANTENNA FOR WLAN/WIMAX APPLICATIONS

A Compact Dual Band-Notched Ultrawideband Antenna with λ/4 Stub and Open Slots

DESIGN OF A NOVEL WIDEBAND LOOP ANTENNA WITH PARASITIC RESONATORS. Microwaves, Xidian University, Xi an, Shaanxi, China

COMPACT TRIPLE-BAND MONOPOLE ANTENNA WITH C-SHAPED AND S-SHAPED MEANDER STRIPS FOR WLAN/WIMAX APPLICATIONS

A Novel Multiband MIMO Antenna for TD-LTE and WLAN Applications

Printed UWB MIMO Antenna with Different Polarizations and Band-Notch Characteristics

Compact 1 2 and 2 2 MIMO Antennas with Enhanced Isolation for Ultrawideband Application

A HIGH EFFICIENT COMPACT CPW FED MIMO ANTENNA FOR WIRELESS APPLICATIONS

A Printed Wideband MIMO Antenna System for GSM1800/1900, UMTS, WLAN2450, LTE2300/2500, and GPS Applications

A New Fractal Based PIFA Antenna Design for MIMO Dual Band WLAN Applications

DESIGN OF TRI-BAND PRINTED MONOPOLE ANTENNA FOR WLAN AND WIMAX APPLICATIONS

Research Article Multiband Planar Monopole Antenna for LTE MIMO Systems

A compact planar ultra-wideband handset antenna with L-Shaped extended ground stubs

TRIPLE-BAND OMNI-DIRECTIONAL ANTENNA FOR WLAN APPLICATION

DUAL BAND MONOPOLE ANTENNA FOR WLAN/WIMAX APPLICATIONS

COMPACT MULTIPORT ARRAY WITH REDUCED MUTUAL COUPLING

Small Planar Antenna for WLAN Applications

Mutual Coupling Reduction of a (2 1) MIMO Antenna System Using Parasitic Element Structure for WLAN Applications 1

Compact Dual-Band MIMO Antenna with High Port Isolation for WLAN Applications

A Compact Low-Profile and Quad-Band Antenna with Three Different Shaped Slots

The proposed UWB (ultra-wideband) MIMO (multiple input multiple output) antenna with band notched properties

A Wideband Magneto-Electric Dipole Antenna with Improved Feeding Structure

A Compact Dual-Band CPW-Fed Planar Monopole Antenna for GHz Frequency Band, WiMAX and WLAN Applications

A COMPACT UWB MONOPOLE ANTENNA WITH WIMAX AND WLAN BAND REJECTIONS

Compact Triple-Band Monopole Antenna for WLAN/WiMAX-Band USB Dongle Applications

Design of a Novel Dual - Band Planar Inverted F Antenna for Mobile Radio Applications

A Very Wideband Dipole-Loop Composite Patch Antenna with Simple Feed

Compact CPW UWB Pattern Diversity Antenna with Dual Band-notched Characteristics

A Compact Wideband Slot Antenna for Universal UHF RFID Reader

Research Article Design of Compact 4 4 UWB-MIMO Antenna with WLAN Band Rejection

High Isolation Improvement in a Compact UWB MIMO Antenna

Mutual Coupling Reduction of Micro strip antenna array by using the Electromagnetic Band Gap structures

ISSN: [Sherke* et al., 5(12): December, 2016] Impact Factor: 4.116

A Pattern Reconfigurable Antenna for WLAN and WiMAX Systems

Chapter 7 Design of the UWB Fractal Antenna

A New UWB Antenna with Band-Notched Characteristic

COMPACT WIDE-SLOT TRI-BAND ANTENNA FOR WLAN/WIMAX APPLICATIONS

STACKED PATCH MIMO ANTENNA ARRAY FOR C-BAND APPLICATIONS

Triple-Band CPW-Fed Monopole Antenna for WLAN/WiMAX Applications

Compact UWB MIMO Antenna with ACS-Fed Structure

Compact Dual Band-Notched UWB MIMO Antenna for USB Dongle Application with Pattern Diversity Characteristics

Performance analysis of Meandered loop and Top loaded monopole antenna for Wireless Applications

Progress In Electromagnetics Research C, Vol. 41, , 2013

Dual-band MIMO antenna using double-t structure for WLAN applications

Compact Triple-Band Monopole Antenna with Inverted-L Slots and SRR for WLAN/WiMAX Applications

COMPACT UWB MIMO SLOT ANTENNA WITH DEFECTED GROUND STRUCTURE

A Dual-Band Two Order Filtering Antenna

INTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY

Wen Jiang *, Tao Hong, and Chao Li National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi an, Shaanxi , P. R.

Design of Controlled RF Switch for Beam Steering Antenna Array

Compact UWB Band-Notch MIMO Antenna with Embedded Antenna Element for Improved Band Notch Filtering

Rectangular MIMO Antenna System with Defected Ground Structure to Enhance Bandwidth for WLAN Applications

A Pair Dipole Antenna with Double Tapered Microstrip Balun for Wireless Communications

Design of a modified circular-cut multiband fractal antenna

Design and Implementation of Pentagon Patch Antennas with slit for Multiband Wireless Applications

L-slotted Microstrip Patch Antenna for WiMAX and WLAN Applications

BACK RADIATION REDUCTION IN PATCH ANTENNAS USING PLANAR SOFT SURFACES

INVESTIGATIONS OF REDUCTION OF MUTUAL COU- PLING BETWEEN TWO PLANAR MONOPOLES USING TWO λ/4 SLOTS

Compact UWB Planar Antenna with Triple Band EMI Reduction Characteristics for WiMAX/WLAN/X-Band Satellite Downlink Frequency

Progress In Electromagnetics Research C, Vol. 40, 1 13, 2013

Recon UWB Antenna for Cognitive Radio

Design of UWB Monopole Antenna for Oil Pipeline Imaging

A Dual-Band MIMO Monopole Antenna System for Set Top Box and WLAN Chipsets

DESIGN AND INVESTIGATION OF CLOSELY-PACKED DIVERSITY UWB SLOT-ANTENNA WITH HIGH ISOLA- TION

COMPACT DUAL-BAND CIRCULARLY-POLARIZED AN- TENNA WITH C-SLOTS FOR CNSS APPLICATION. Education, Shenzhen University, Shenzhen, Guangdong , China

MULTI-STATE UWB CIRCULAR PATCH ANTENNA BASED ON WIMAX AND WLAN NOTCH FILTERS OPERATION

Fractal-Based Triangular Slot Antennas with Broadband Circular Polarization for RFID Readers

NOVEL PLANAR INVERTED CONE RING MONOPOLE ANTENNA FOR UWB APPLICATIONS

Dual band Microstrip Antenna for GPS/ WLAN/WiMax Applications 1Rajeev Shankar Pathak, 2Vinod Kumar Singh, 3Shahanaz Ayub ABSTRACT : Keywords

A Broadband Omnidirectional Antenna Array for Base Station

A dual-band antenna for wireless USB dongle applications

Index Terms Microstrip patch antenna, Quarter wave inset feed, Coaxial cable feed, Gain, Bandwidth, Directivity, Radiation pattern.

Design and Development of a 2 1 Array of Slotted Microstrip Line Fed Shorted Patch Antenna for DCS Mobile Communication System

Reduction of Mutual Coupling between Cavity-Backed Slot Antenna Elements

A compact dual-band dual-port diversity antenna for LTE

DESIGN OF A NOVEL MICROSTRIP-FED DUAL-BAND SLOT ANTENNA FOR WLAN APPLICATIONS

A Dual-Polarized MIMO Antenna with EBG for 5.8 GHz WLAN Application

A NOVEL DESIGN OF LTE SMART MOBILE ANTENNA WITH MULTIBAND OPERATION

DUAL-WIDEBAND MONOPOLE LOADED WITH SPLIT RING FOR WLAN APPLICATION

Quasi Self Complementary (QSC) Ultra-Wide Band (UWB) Antenna Integrated with Bluetooth

THE DESIGN OF A DUAL-POLARIZED SMALL BASE STATION ANTENNA WITH HIGH ISOLATION HAVING DIELECTRIC FEEDING STRUCTURE

COMPACT SLOT ANTENNA WITH EBG FEEDING LINE FOR WLAN APPLICATIONS

Small-Size Monopole Antenna with Dual Band-Stop Function for Ultra-Wideband Wireless Communications

Journal of Microwaves, Optoelectronics and Electromagnetic Applications, Vol. 14 No. 1, June 2015

Compact Dual-band Balanced Handset Antenna for WLAN Application

Novel Compact and Dual-Broadband Microstrip MIMO Antennas for Wireless Applications

NOVEL DESIGN BROADBAND CPW-FED MONOPOLE ANTENNA WITH TRAPEZIUM SHAPED-STUB FOR COMMUNICATION SYSTEM

A Simple Dual-Wideband Magneto-Electric Dipole Directional Antenna

Volume 2, Number 4, 2016 Pages Jordan Journal of Electrical Engineering ISSN (Print): , ISSN (Online):

Design of Rectangular-Cut Circular Disc UWB Antenna with Band-Notched Characteristics

To link to this article:

Design of a Wideband Sleeve Antenna with Symmetrical Ridges

BROADBAND SERIES-FED DIPOLE PAIR ANTENNA WITH PARASITIC STRIP PAIR DIRECTOR

SELF-COMPLEMENTARY CIRCULAR DISK ANTENNA FOR UWB APPLICATIONS

HIGH GAIN AND LOW CROSS-POLAR COMPACT PRINTED ELLIPTICAL MONOPOLE UWB ANTENNA LOADED WITH PARTIAL GROUND AND PARASITIC PATCHES

Transcription:

Minimization of Mutual Coupling Using Neutralization Line Technique for 2.4 GHz Wireless Applications W.N.N.W. Marzudi 1, Z.Z. Abidin 1, S.Z. Muji 1, Ma Yue 2 and Raed A. Abd-Alhameed 3 1 Research Center of Applied Electromagnetic, Universiti Tun Hussein Onn Malaysia, Johor, Malaysia. 2 National Astronomical Observatories (NAOC), Chinese Academy of Sciences. 3 Mobile and Satellite Communications Research Centre, University of Bradford, United Kingdom wannoornajwa@gmail.com, zuhairia@uthm.edu.my ABSTRACT This paper presented a planar printed multiple-inputmultiple-output (MIMO) antenna with a dimension of 100 x 45 mm 2. It composed of two crescent shaped radiators placed symmetrically with respect to the ground plane. Neutralization line applied to suppress mutual coupling. The proposed antenna examined both theoretically and experimentally, which achieves an impedance bandwidth of 18.67% (over 2.04-2.46 GHz) with a reflection coefficient < -10 db and mutual coupling minimization of < -20 db. An evaluation of MIMO antennas is presented, with analysis of correlation coefficient, total active reflection coefficient (TARC), capacity loss and channel capacity. These characteristics indicate that the proposed antenna suitable for some wireless applications. KEYWORDS Multiple-Input-Multiple-Output (MIMO), impedance bandwidth, mutual coupling, neutralization line wireless applications. 1 INTRODUCTION Nowadays and future wireless applications, there is an insatiability demand for having high data rate, high link quality, large bandwidth antenna at both transmitter and receiver. MIMO technologies have gain much attention recently. The potential for MIMO antenna systems to improve reliability and enhance channel capacity in wireless mobile communications has generated great interest[1]. A major consideration in MIMO antenna design is to reduce correlation between the multiple elements, and in particular the mutual-coupling electromagnetic interactions that exist between multiple elements are significant, because at the receiver end this effect could largely determine the performance of the system. Lower mutual coupling can result in higher antenna efficiencies and lower correlation coefficients[2]. Significant research efforts to reduce mutual coupling have been reported in [3-9]. For example, by connecting an additional non radiating folded shorting strip between antenna element and ground plane [3], port to port isolation lower than 28 db achieved for lower WLAN band. It is also interesting to observed that by applying T-shape slot impedance transformer to both single and dual band PIFA s, the isolation over 20 db is obtained [4]. In [5], the authors proposed the method to obtained low mutual coupling by cutting two quarter wavelength slots into the ground plane. The use of planar soft surfaces proposed in [6] to reduce mutual coupling. Other methods to reduce mutual coupling and enhanced isolation of the MIMO antenna, such as inserting slits on ground plane [7], I-shaped conductor in modified ground plane [8] and inserting neutralization line between antenna element[9] was also promising methods. In this paper, two-element crescent shaped MIMO antenna presented for the purpose of wireless applications. The MIMO antenna consists of two crescent shaped radiators placed symmetrically with respect to ground plane with neutralization line (NL) connected in between of the two antennas. The total dimensions of this antenna are 100 x 45 x 1.6 mm 3. Both simulated and measured result of the fabricated prototype details reported and discussed. 292

2 ANTENNA DESIGN CONCEPTS can be observed that the optimal distance of NLd is at 9.79 mm which gives the lowest mutual coupling at 2.4 GHz. Top View Bottom View Figure 1.Geometry of the proposed antenna (in mm) top view, and Bottom view. The proposed antenna geometry is illustrated in Figure 1. The antenna system comprises with two crescent shaped radiators that is similar to that in [10] deployed on an economically FR-4 substrate with relative permittivity of 4.4 and a thickness of 1.6 mm operating at 2.4 GHz. The radiators are separated by 0.147λ (18.36 mm) for the minimization of mutual coupling. While, 83 45 mm 2 ground plane placed on the other side of the substrate as shown in Figure 1. The overall dimensions of the proposed antenna are 100 45 1.6 mm 3 which is suitable for wireless application such as a network card or mobile device. In addition, in order to improve the mutual coupling of the proposed antenna, neutralization line with 0.5 mm width inserted between the radiators. Theoretically, neutralization lines transfer some current from the first antenna and delivers to the second antenna to cancel out the existing coupling. To clarify the effectiveness of the neutralization line (NL) of the proposed antenna, the parametric study of the location of the neutralization line, NL d was carried out with the width of the NL is kept at 0.5 mm. From Fig. 2, it Figure 2. Simulated transmission coefficient, S 21 of the various distance location of neutralization line. Figure 3.Comparative plot of s-parameters output for simulated and measured results for the proposed antenna without neutralization line. 293

3 SIMULATED AND MEASURED PERFORMANCE (over 2.04-2.46 GHz). The bandwidth achieved fully covered the wireless application such as network card at 2.4 GHz. Figure 4.Comparative plot of s-parameters output for simulated and measured results for the proposed antenna with neutralization line. Figure 3 and Figure 4 show the simulated and measured s-parameters output for the proposed antenna with and without neutralization line, respectively. As can been observed, the measured return loss, S 11 and mutual coupling, S 21 for both figures (Figure 3 and Figure 4) are reasonably good agreement with the simulated results. The resonance frequency is slightly shifted between the simulated and measured results and this is probably due to the discrepancy of SMA connector and fabrication tolerance. It is apparently seen that by implementing the neutralization lines, the mutual coupling, S21 of the proposed antenna can be improved from -14 db without neutralization lines to below -21 db with neutralization line at 2.4GHz. To validate the simulated results, the physical prototypes of the proposed antenna with and without neutralization line were fabricated and tested, the top and back view of the proposed antenna as shown in Figure 5. The S-parameters of the antenna were measured by Vector Network Analyser 8722ET (VNA). The measured return loss S 11 and mutual coupling S 21 are plotted in Figure 6. As can be seen, when the neutralization line was inserted, the mutual coupling has been reduced around 7.14 db (from -14.63 db to -21.77 db) with an impedance bandwidth of 18.67% Figure 5.Practical prototype of the proposed antenna top view back view. Figure 6.Measured S-parameters of the proposed antenna with and without the neutralization line. 294

The simulated and measured radiation patterns of the proposed antenna in the x-z plane (E-plane) and y-z plane (H-plane) with port 1 excited while port 2 terminated with 50Ω load plotted in Figure 7 and Figure 8, respectively. The antenna shows a stable omnidirectional pattern in the E-plane and H-plane over the operating frequency of 2.4 GHz. 4 DIVERSITY PERFORMANCES Figure 7.Simulated radiation patterns for the proposed antenna for two planes at 2.4 GHz; X-Z plane. xxxx (blue) simulated cross-polarization, oooo (red) simulated co -polarization. Y-Z plane. xxxx (blue) simulated co-polarization, oooo (red) simulated crosspolarization Port 1(left) excited and port 2(right) terminated in 50Ω. To evaluate the capabilities of MIMO/diversity antenna, the envelope correlation coefficient (ECC) is an important criterion to be presented. Basically, envelope correlation can be computed by using S-parameters or radiation pattern of the antenna. The envelope correlation of the MIMO antenna system can be expressed by using the following expression[11]: e = 11 12 21 22 2 ( 1-11 2-21 2 )( 1-22 2-12 2 ) (1) The simulated envelope correlation coefficient of the proposed antenna with and without neutralization showed in Figure 9. An improvement of the ECC can be seen after the neutralization line was inserted and it fulfils the characteristic of diversity p e < 0.5 [7]. Therefore, the proposed antenna is suitable candidate for MIMO application. Figure 8.Measured radiation patterns for the proposed antenna for two planes at 2.4 GHz; X-Z plane. xxxx (blue) simulated co-polarization, oooo (red) simulated cross- polarization. Y-Z plane. xxxx (blue) simulated cross-polarization, oooo (red) simulated co-polarization Port 1(left) excited and port 2(right) terminated in 50Ω. Figure 9.Simulated envelope correlation coefficient for the proposed antenna with and without neutralization line. 295

[ ] (3) with ( ( )) and for i, j = 1 or 2. The simulated capacity losses of the proposed antenna with and without neutralization line show in Figure 11. It can be seen that the capacity loss after inserting neutralization line neither exceeds 0.6 bps / Hz at 2.4 GHz. The comparison between simulated and measured capacity loss shows in Figure 12. Figure 10Measured correlation coefficient of the proposed antenna. without Neutralization line, with neutralization line. Figure 11.Simulated capacity loss of the proposed antenna with and without neutralization line. The measured correlation coefficients of the proposed antenna with and without neutralization line are plotted in Figure 10. As can be seen, the correlation coefficient improved from 0.00042 to 5.162 10 6 after inserting neutralization lines. The simplified channel capacity loss of a 2 x 2 MIMO system can be evaluated by using the following equation, given in [9, 12]: Where matrix: = (2) is the receiving antenna correlation Figure 12.Comparison Between simulated and measured capacity loss of the proposed antenna. 296

Total active reflection coefficient or known as TARC can be defined as the return loss of the whole MIMO proposed antenna. Figure 13 showed the simulated total active reflection coefficient of the proposed antenna with and without neutralization line. The better performance of TARC obtained with neutralization line inserted. lower loss of capacity and better performance for TARC and envelope correlation coefficient compared to the proposed antenna without neutralization line. Table 1.Simulated results for correlation coefficient, TARC and capacity loss at 2.4 GHz Parameter Correlation Coefficient (db) Capacity Loss (bits/s/hz) Proposed Antenna without Neutralization Line Proposed Antenna with Neutralization Line 0.091 0.0017 0.9089 0.6854 TARC (db) -12.29-17.02 Figure 13.Simulated total active reflection coefficient of the proposed antenna with and without neutralization line. In communication system, channel capacity bounded by the hannon s theoretical capacity. Channel capacity determined as the maximum amount of information that can be transferred and received through the channel. Shannon capacity of the MIMO system can be computed using [13] 2 bits/s/hz (4) Where ; ɛ = ignal to Noise ratio ( NR) I n = Identity matrix of order n H T = Hermitian transpose of the H matrix n = no. of antennas Figure 14. Comparison between simulated and measured TARC of the proposed antenna. The simulated and measured TARC of the proposed antenna are shown in Figure 14. Small discrepancies between the simulation and measurement results can be attributed to fabrication tolerance and feed cable effects. The correlation coefficient, TARC and capacity loss are summarized in Table 1. This shows that the proposed antenna with neutralization line have The channel capacity of the proposed antenna with and without neutralization line is 5.605 bits/s/hz and 5.657 bits/s/hz at 2.4 GHz, respectively as shown in Figure 15. 297

Figure 15. Simulated capacity of the proposed antenna with and without neutralization line. 5 CONCLUSION A two-element crescent shaped printed MIMO antenna for covering 2.4 GHz wireless applications presented. Neutralization line applied to meet the requirement of MIMO in term of low mutual coupling parameter. Simulated and measured results show that the antenna achieves an impedance bandwidth of 18.67% (over 2.04-2.46 GHz) with a reflection coefficient < -10 db and mutual coupling minimization of < -20 db. Further, the correlation coefficient, TARC, capacity and capacity loss have been analyzed for antenna with and without neutralization line. It has been shown that the proposed antenna has met the requirements of MIMO practical antenna. 6 ACKNOWLEDGEMENT The authors of this paper wish to acknowledge the funding of this project by Universiti Tun Hussein Onn Malaysia under short term grant Vot 0992. 7 REFERENCES [1] G. J. Foschini and M. J. Gans, "On limits of wireless communications in a fading environment when using multiple antennas," Wireless personal communications, vol. 6, pp. 311-335, 1998. [2] J. Thaysen and K. B. Jakobsen, "Design considerations for low antenna correlation and mutual coupling reduction in multi antenna terminals," European transactions on telecommunications, vol. 18, pp. 319-326, 2007. [3] H. S. Singh, B. Meruva, G. K. Pandey, P. K. Bharti, and M. K. Meshram, "Low Mutual Coupling Between Mimo Antennas By Using Two Folded Shorting Strips," Progress In Electromagnetics Research B, vol. 53, 2013. [4] S. Zhang, B. K. Lau, Y. Tan, Z. Ying, and S. He, "Mutual coupling reduction of two PIFAs with a T- shape slot impedance transformer for MIMO mobile terminals," Antennas and Propagation, IEEE Transactions on, vol. 60, pp. 1521-1531, 2012. [5] S. Zuo, Y.-Z. Yin, W.-J. Wu, Z.-Y. Zhang, and J. Ma, "Investigations of reduction of mutual coupling between two planar monopoles using two λ/4 slots," Progress In Electromagnetics Research Letters, vol. 19, pp. 9-18, 2010. [6] O. Quevedo-Teruel, L. Inclan-Sanchez, and E. Rajo-Iglesias, "Soft surfaces for reducing mutual coupling between loaded pifa antennas," Antennas and Wireless Propagation Letters, IEEE, vol. 9, pp. 91-94, 2010. [7] J.-F. Li, Q.-X. Chu, and T.-G. Huang, "A compact wideband MIMO antenna with two novel bent slits," Antennas and Propagation, IEEE Transactions on, vol. 60, pp. 482-489, 2012. [8] C. See, R. Abd Alhameed, N. McEwan, S. Jones, R. Asif, and P. Excell, "Design of a printed MIMO/diversity monopole antenna for future generation handheld devices," International Journal of RF and Microwave Computer Aided Engineering, 2013. [9] C. H. See, R. A. Abd-Alhameed, Z. Z. Abidin, N. J. McEwan, and P. S. Excell, "Wideband printed MIMO/diversity monopole antenna for WiFi/WiMAX applications," Antennas and Propagation, IEEE Transactions on, vol. 60, pp. 2028-2035, 2012. [10] C. H. See, R. A. Abd-Alhameed, D. Zhou, T. H. Lee, and P. S. Excell, "A crescent-shaped multiband planar monopole antenna for mobile wireless applications," Antennas and Wireless Propagation Letters, IEEE, vol. 9, pp. 152-155, 2010. [11] L. Xiong and P. Gao, "Compact Dual-Band Printed Diversity Antenna for Wimax/WLAN Applications," Progress In Electromagnetics Research C, vol. 32, pp. 151-165, 2012. [12] S.-W. Su, C.-T. Lee, and F.-S. Chang, "Printed MIMO-antenna system using neutralization-line technique for wireless USB-dongle applications," Antennas and Propagation, IEEE Transactions on, vol. 60, pp. 456-463, 2012. [13] K.J.Babu, G.U Kiran, T.C Kumaraswamy, V. Harshavardhan and M.V.V Praveen Kumar, Channel Capacity Calculations of E haped Patch Antenna MIMO Array, International Journal of Wireless Communication and Simulation, vol 2, No 1(2010),pp. 105-111. 298