multiband mimo antenna for wireless...
TRANSCRIPT
i
MULTIBAND MIMO ANTENNA FOR WIRELESS DEVICES
SARAH HASSAN KHALAF
A project report submitted in partial fulfilment of the
requirements for the award of the degree of
Master of Engineering (Electrical-Electronics & Telecommunications)
Faculty of Electrical Engineering
Universiti Teknologi Malaysia
JANUARY 2015
iii
“To the memory of my Uncle Razzak,
who sparked a passion that has not died.
To my beloved parents,
who gave it all to love me.
To my lovely brothers and sisters,
who always been there for me.
And finally to my lovely baby Jomana,
For keeping the life goes inside of me…
iv
ACKNOWLEDGEMENT
…It is impossible to start….
It cannot be argued with that the most influential person in my graduate career
has been my Supervisor, PROF. DR. THAREK BIN ABD RAHMAN’s passion,
guidance, and discipline have been indispensable to my growth as a scientist and as a
person over these past year. I am especially grateful to Prof. Tharek for his devotion
to his students’ education and success. I have not heard of another professor who goes
so far out of his/her way to make sure students are prepared for whatever the next step
in their journeys may be.
My sincere thanks also goes to all my lecturers for providing assistance,
experience and great knowledge at various occasions and leading me working on
diverse exciting projects.
Last but not the least; I would like to thank my family: my Husband Ebrahim,
for the love and spiritual support throughout my life with him.
v
ABSTRACT
A Design of compact Multiple-Input-Multiple-Output (MIMO) Microstrip
Patch Antenna that has 4 ports, been designed and implemented. The proposed antenna
consists of four ports with two patches operates at LTE frequencies and two Patches
operates at WLAN frequency. The antenna is fabricated on an inexpensive FR4 a
dielectric constant ofεr = 4.4, loss tangent of tan δ=0.019, with thickness of substrate
that is 1.6-mm and the thickness of patch is 0.035 mm. The measured results represents
that the proposed antenna obtained a reasonable bandwidth for LTE and WIFI
applications defined by 10-dB return loss. Furthermore, The S-Parameters of antenna
are simulated and measured. In this project, design structure of the MIMO antenna four
ports and substrate has been employed to broaden the bandwidth. Since MIMO antenna,
high gain and directivity can be achieved. Simulation by using CST microwave studio
program and measurement on the final prototype antenna were carried out and compared.
A MIMO system characteristic evaluation of a four port MIMO antenna is performed.
A four port antenna for wireless applications is designed, the antenna shows good
pattern diversity low correlation coefficient.
vi
ABSTRAK
A Reka bentuk padat Multiple-Input-Multiple-Output (MIMO) Mikrojalur Patch
Antenna yang mempunyai 4 pelabuhan, telah dirancang dan dilaksanakan. Antena yang
dicadangkan terdiri daripada empat pelabuhan dengan dua patch beroperasi pada
frekuensi LTE dan dua Patches beroperasi pada frekuensi WLAN. Antena ini direka pada
FR4 murah yang ofε_r dielektrik berterusan = 4.4, kerugian tangen daripada tan δ =
0.019, dengan ketebalan substrat iaitu 1.6 mm dan ketebalan patch adalah 0.035 mm.
Hasil diukur mewakili antena yang dicadangkan diperolehi lebar jalur yang munasabah
untuk LTE dan aplikasi WIFI ditakrifkan oleh 10 dB kerugian pulangan. Tambahan pula,
The S-Parameter antena adalah simulasi dan diukur. Dalam projek ini, struktur reka
bentuk antena MIMO empat pelabuhan dan substrat telah digunakan untuk meluaskan
jalur lebar. Sejak MIMO antena, keuntungan tinggi dan directivity boleh dicapai.
Simulasi dengan menggunakan CST program studio gelombang mikro dan pengukuran
pada antena prototaip akhir telah dijalankan dan dibandingkan. Sistem MIMO penilaian
ciri-ciri yang MIMO antena empat pelabuhan dilakukan. Sebuah antena empat pelabuhan
untuk aplikasi tanpa wayar direka, antena menunjukkan kepelbagaian corak baik pekali
korelasi yang rendah.
vii
TABLE OF CONTENTS
CHAPTER TITLE PAGE
DECLARATION ii
DEDICATION iii
ACKNOWLEDGEMENT iv
ABSTRACT v
ABSTRAK vi
TABLE OF CONTENTS vii
LIST OF TABLES xi
LIST OF FIGURES xii
LIST OF SYMBOLS
xiv
LIST OF ABBREVIATIONS
xv
1 INTRODUCTION
1.1 Project Overview 1
1.2 Problem Statement 2
1.3 Project Objectives 3
1.4 Project Outline 4
1.6 Summary 5
2 LITERATURE REVIEW
2.1 Introduction 6
2.2 Antenna Theory 7
2.3 MIMO Technology 9
viii
2.3.1 Polarization Diversity 10
2.3.2 Spatial Diversity 10
2.3.3 Directional Diversity 11
2.3.4 Basic Building Block of MIMO 12
2.3.5 MIMO Applications 14
2.3.6 MImo Limitations 14
2.4 LTE 15
2.5 LTE with MIMO 16
2.6 Microstrip Antenna 17
2.6.1 Advantages and Disadvantages 19
2.6.2 Facotrs Affecting Microstrip Antenna 20
2.6.3 Microstrip Discontinuity 21
2.6.4 Fringing Field 23
2.6.5 Feeding Techniques 24
2.6.6 Substrate Selection 27
2.6.7 Patch Dimension 33
2.6.8 Rectangular and square patch 33
2.7 Fundamental Antenna Parameters 34
2.8 Previous Works 40
2.9 Summary 41
3 METHODOLOGY
3.1 Introduction 42
ix
3.2 The Simulation Stage 45
3.3 Fabrication Stage 46
3.4 Measurement Stage 47
3.5 Summary 48
4 DESIGN AND SIMULATION
4.1 Introduction 49
4.2 Antenna Design 50
4.2.1 Design Calculations 50
4.2.2 Design Parameters 52
4.3 Substrate Specifications 55
4.4 Simulation Results 55
4.4.1 Return Loss 56
4.4.2 Isolation, Correlation and Diversity Gain 59
4.4.3 Radiation Pattern and Gain 64
4.5 Summary 70
5 RESULTS AND DISCUSSION
5.1 Introduction 71
5.2 Fabrication Process 72
5.3 Simulation and Measurement Comparison 72
5.4 Post Design Analysis 74
5.5 Summary 75
x
LIST OF TABLES
TABLE NO. TITLE PAGE
2.1 Comparison of different feed techniques 30
2.2 Common Substrate Materials for Microstrip Antenna 31
2.3 Substrates Comparison 32
2.4 Previous works on the MIMO antenna 40
3.1 Project implementation 44
4.1 LTE patch dimensions 51
4.2 Wifi patch dimensions 52
4.3 FR4 Specifications 55
4.4 Results of return loss in (dB) 58
4.5 result of isolation parameters between antenna 60
4.6 Correlation Coefficient and Diversity Gain 63
6 CONCLUSION
6.1 Conclusion 76
6.2 Suggestions for Future Works 77
6.3 Summary 78
REFERENCES 79
xi
LIST OF FIGURES
FIGURE NO. TITLE PAGE
2.1 Various Antennas 8
2.2 MIMO system diagram 11
2.3 Building Blocks of a MIMO system 13
2.4 LTE (a) DL and (b) UL multiple access schemes 15
2.5 Structure of Microstrip Patch Antenna 17
2.6 Common Shapes of Microstrip Patch Elements 18
2.7 Fringing Electric Fields around Microstrip Patches 19
2.8 Open End Equivalent Circuit 21
2.9 Open End Equivalent Circuit For Step Discontinuity
22
2.10 Equivalent Circuit for Bend
23
2.11 Top View of the Electric Fringing 23
2.12 Side View of Microstrip Patch Antenna 24
2.13 Aperture coupled patch antenna. 25
2.14 Coaxial feeding mechanism. 25
2.15 Probe- fed rectangular patch antenna 26
2.16 Microstrip line feed. 27
2.17 Aperture coupled feed. 28
2.18 Proximity coupled feed. 29
2.19 Narrowband Square Patch Antenna using inset feed. 33
3.1 Graphical view of the project methodology 43
3.2 User Interface of CST MWS 46
3.4 Network Analyzer 48
4.1 Basic top view of micro strip patch antenna 50
4.2 Front and back view of the antenna 52
4.3 View of the proposed LTE Patch with the ground
transparence
53
4.4 View of the proposed WIFI Patch with the ground
transparence operates at 2.4 GHz.
54
xii
4.5 Return loss, S11 vs. Frequency 57
4.6 Return loss, S22 vs. Frequency 57
4.7 Return loss, S33 vs. Frequency 58
4.8 Return loss, S44 vs. Frequency 58
4.9 Isolation of port 2 61
4.10 Isolation of port 3 62
4.11 Isolation of port 4 62
4.12 3D far field at 1.8 GHz 64
4.13 3D far field at 2 GHz 64
4.14 3D far field at 2.4 GHz 65
4.16 ploar far field view at 1.8 GHz, phi=90 66
4.17 ploar far field view at 2 GHz, phi=90 66
4.18 ploar far field view at 2.4 GHz, phi=90 67
4.19 ploar far field view at 2.6 GHz, phi=90 67
5.1 Antenna Prototype 71
5.2 Simulation and Measurement Antenna Return Loss for
Port 1.
73
5.3 Simulation and Measurement Antenna Return Loss for
Port 4.
74
5.4 Measurement Antenna Isolation parameters 74
xiii
LIST OF SYMBOLS
h - Dielectric substrate thickness
L - Length
W - Width
Γ - Reflection coefficient
Z0 - Characteristic impedance
ZL - Load impedance
λr - Free-space wavelength
𝑉0− - Reflected volta
𝑉0+ - Incident voltage
εr - Dielectric constant of the substrate
t - Patch thickness
c - Speed of light 3x 10-8 m/s
G - Conductance
Л - Pi
η - Efficiency
G - Gain
D - Outer diameter of SMA connector
d - Inner diameter of SMA connector
W1 - Width of feed line
xiv
LIST OF ABBREVIATIONS
FCC - Federal Communication Commission
UWB - Ultra-wideband
PD - Phase Difference
CP - Circular polarization
MPA - Microstrip Patch Antenna
Ω - Ohm
dB - decibel
CST - Computer Simulation Software
FR4 - Fire Retardant Type 4
BW - Bandwidth
BW% - Bandwidth percentage
PCB - Printed Circuit Boards
Hz - Hertz
GHz - Giga Hertz
mm - Millimetre
RF - Radio Frequency
IEEE - Institute of Electrical and Electronic Engineers
VSWR - Voltage Standing Wave Ratio
RL - Return Loss
HPBW - Half Power Beam Width
EM - Electromagnetic
UV - Ultraviolet
15
CHAPTER 1
INTRODUCTION
This project work suggests the growth of multiband MIMO antenna with wireless
devices. The first chapter is about the background of the project providing the objective
and scope of this work.
1.1 Project Overview
The present communication systems such as 3G and 4G technologies require
larger data transfer rates with high speed and accuracy. The Multiple Input Multiple
Output (MIMO) technology is one of the advanced wireless communication systems,
which is very much capable to accomplish the demands of the present and emerging
communication systems like Wi-Fi, 3G and 4G etc. Patch antennas which are low cost,
low in weight, planar or conformal layout, easier to fabricate, and able to be integrated
with electronic or signal processing circuitry show good compatible with MIMO systems.
16
2
Patch antennas can be designed in any desired shape like ring, circular, triangular etc.
Flexibility in patch antenna design makes it preferable for many modern wireless
communication applications. The placement of multiple antennas in small region in a
MIMO system cause mutual coupling. In this study, the physical aspects of the mutual
coupling between two identical patch antennas investigated.
Long Term Evolution (LTE) is a wireless broadband technology, which is
designed to support roaming Internet access via cell phones and handheld devices. As
LTE offers significant improvements over older cellular communication standards, for
instance a 4G (fourth generation) technology along with WiMax.
1.2 Problem Statement
Due to increase in the demand of wireless communication, today and future
wireless communications devices require to be equipped with compact size antenna that
can operate at multiple frequency bands. The decrease in the size of the antenna affects
the radiation (signal) performance. Hence, the designing of compact size antennas with
promising radiation characteristics are required. In this work new techniques are
employed for antenna miniaturization based on fractal geometries or by introducing
lumped elements to the printed monopole antenna design. Although, the microstrip patch
antennas have number of advantages such as low cost, light weight, simple
implementation process and conformability but it has drawback of narrow bandwidth.
The present work is mainly focused on the improvement of impedance bandwidth. The
impedance bandwidth of the patch antennas can be improved by various techniques like
introducing parasitic elements, increasing the thickness of substrate, modifying the shape
of the antenna and introducing slots on the patch. As the MIMO antenna, show significant
17
3
improvement on the transmission rate can be achieved by employing MIMO techniques.
Another topic involved in this research work is to design compact multiband closed space
antenna. In this work, neutralizing and reconfigurable techniques are employed to design
printed monopole antenna .The proposed antennas are implemented and characterized.
The numerical simulations are conducted in the Finite Element Method (FEM)
based on electromagnetic simulation software package, CST Microwave studio, to verify
experimental results.
1.3 Project Objective
The main objective of this project work is to design compact multiband antennas
for future wireless applications.
The specific objective of this study are listed as follow:
To design, simulate and fabricate a compact antenna to support multiband
frequencies.
Characterization and performances evaluation of proposed antennas in term of
return loss, current distribution and radiation patterns.
18
4
1.4 Scopes of project
Study of (MIMO) microstrip antenna to understand the concept and theoretical of
microstrip antenna.
Designed the antenna structure by using CST software tools to achieve a multiband
of 1.8, 2, and 2.6 GHz for LTE and 2.4 GHz for WIFI.
Simulation the antenna design by using electromagnetic software such as CST
microwave studio.
Fabricate the antenna proposed on the FR4 board with thickness 1.6 mm and
relative permittivity εr = 4.4.
Characterized and compared for the performing with simulation results.
1.5 Outline of Thesis
This thesis is structured into six chapters as follow:
The first chapter is an introduction, which presents datum regarding background
of the project, problem statement, objectives, scope of the study and the layout of
thesis.
The second chapter confers and reviews the literature of a lot of associated topics.
These were comprised: Antenna Theory, MIMO Theory, Narrow and wide Band,
microstrip patch antenna , Feeding Techniques ,LTE, ...etc.
19
5
Third chapter contains the methodology in which the methods occupied and the
software's needed for this project are clarified. This were consists of also the design
and imitation results that present all the design specifications and product obtained
from manual calculation and simulation run. The imitation results and consequent
analysis are argued as well.
In the forth chapter, the simulation process and the design procedure been
introduced showing the software that been used.
In the fifth chapter, the fabrication method, results and analysis of the
measurement that compared with the simulation results are conversed.
At the sixth chapter, a conclusion for the work is introduced with a future work
and recommendation been given.
1.6 Summary
Concise introduction on the project and its scopes have been displayed. Some
associated project backgrounds have also been showed to simplify the direction of the
project. The synopsis of this thesis has also been explained.
93
79
REFERENCES
1. F. DeFlaviis, L. Jofre, J. Romeu, and A. Grau, Multiple Antenna System for MIMO
Communications, San Rafael, CA, Morgan & Claypool Publishers, 2008.
Constantine A.Balanis, “Antenna Theory Analysis and Design", John Wiley &
Sons, INC, 2005.
S.D.Tangonski, R.B.Waterhouse, and D.M.Pozar, ”Design of Wide-Band
Aperture-Stacked Patch Microstrip Antennas”, IEEE Trans. Antennas and Propag.,
vol. 46, No.9, pp. 1245-1251, Sept.,1998.
S.Gao, and A.Sambell, ”Broadband Dual-Polarized Proximity Coupled Circular
Patch Antenna”, Microwave and Optical Technology Letters, vol. 47, no. 3, pp.
298-302, Nov., 2005.
Antennatheory.com. (2011, n.d.). PIFA – The planar inverted-F antenna
[Online].Available: http://www.antenna-heory.com/antennas/patches/pifa.php
M. C. Huynh and W. Stutzman, “Ground plane effects on planar inverted-F
antenna (PIFA) performance," Microwaves, IEEE Proc. - Antennas Propag., vol.
150, no. 4, pp. 209- 213, Aug. 2003.
Y. J. Cho, Y. S. Shin, and S. –O. Park, “An internal PIFA for 2.4/5 GHz WLAN
applications," in Asia-Pacific Microwave Conference Proceedings, Bangkok,
Thailand, 2007, pp. 3.
C. –H. Chang and K. –L. Wong, “ Penta-band one-eighth wavelength PIFA for
internal mobile phone antenna," in Antennas and Propagation Society
International Symposium, North Charleston, SC, 2009, pp.1-4.
2.
3.
4.
5.
6.
7.
8.
94
80
9. S. il Kwak, D. –U. Sim, and J. H. Kwon, “Design of optimized multilayer PIFA
with the EBG structure for SAR reduction in mobile applications," IEEE Trans.
Electroman. Compat., vol. 53, no. 2, pp. 325-331, May 2011.
10. J. D. Park, B. C. Kim, and H. D. Choi, “A low SAR design of folder type handset
with dual antennas," in Antennas and Propagation Society International
Symposium, Columbus, OH, 2003, pp. 1005- 1008
11. Thomas. A. Milligan,. Modern Antenna Design, 2nd edition, John Wiley & Sons,
Inc., Hoboken, New Jersey. 2005.
12. Constantine A. Balanis, Antenna theory: Analysis and Design.2 Ed. New York,
USA: John Wiley& Sons, Inc. 1997.
13. Constantine's Balanis. Antenna Theory : Analysis and Design. 3 rd edition
Willey, 2005.
14. Faranak Negookar. Ultra-wideband Communications : Fundamentals and
Applications.: Prentice Hall. August 31 St 2005.
15. Kumar, G. and Ray, K.P., Broadband Microstrip Antennas, Artech House,
Inc.2003.
16. Garg, R., Bhartia, P., Bahl, I., Ittipiboon, A., Microstrip Antenna Design
Handbook, Artech House, Inc. 2001.
17. Qian, Y., et al., (A Microstrip Patch Antenna using novel photonic bandgap
structures, Microwave J., Vol 42, Jan, pp. 66-76. 1999.
18. See, T.; Zhi Ning Chen ; , " An ultra wideband diversity antenna " antennas and
Propagation , IEEE Transactions on, vol .57 , no .6 , pp.1597-1605, June 2009 .
19. S.Sesia, I.Toufik, and M.Baker, LTE – The UMTS Long Term Evolution , from
theory to practice, willy, 2009 .
20. T. Svantesson and A. Ranheim, “Mutual coupling effects on the capacity of multi
element antenna systems,” in Proceedings of the IEEE International Conference
on Acoustics, Speech, and Signal Processing (ICASSP '01), pp. 2485–2488, May
2001.
21. A. C. K. Mak, C. R. Rowell, and R. D. Murch, “Isolation enhancement between
two closely packed antennas,” IEEE Transactions on Antennas and Propagation,
vol. 56, no. 11, pp. 3411–3419, 2008.
22.
23.
http://www.3gpp.org/LTE
“LTE resource guide”, online available ,
nd
95
81
http://web.cecs.pdx.edu /~fli/class/ LTE_Reource_Guide.pdf
24. John Leonidas Volakis, Chi-Chih Chen, and Kyōhei Fujimoto, Small antennas :
miniaturization techniques & applications. The McGraw-Hill Companies, New
York, NY, 2010 .
25. Optimum design for compact diversity wire antenna with two highly isolated
ports,Yu.C., Wang.B.-Z., Xiao, S., Electronics Letters , Volume: 38 , Issue: 4 , 14
Feb 2002 . Pages:154 – 155
26. A planar diversity antenna for wireless handsets, Ko.S.C.K., Murch .R.D., IEEE
Antennas and Propagation Society International Symposium, 16-21 July 2000
Pages:968 - 971 vol.2
27. J W Wallace, M A Jensen, “Terminal-Dependent Diversity Performance of
Coupled Antennas: Network Theory Analysis”, IEEE trans. Antennas Propagate.,
vol 52, pp. 98-105,January, 2004.
28. J. R. James, P. S. Hall, C. Wood. Microstrip Antenna Theory and Design. London:
Peter Peregrinus Ltd. 1981.
29. T. A. Miligan. Modern Antenna Design Second Edition. New Jersey: John Wiley
& Sons. 2005.
30. Giauffrat, L.; Laheurte, J.-M. Parametric study of the coupling aperture in
CPWfed microstrip antennas. Microwaves, Antennas and Propagation, IEE
Proceedings. Volume 146, Issue 3, June 1999 Page(s):169 – 174.
31. Claude Oestgates & Bruno Clerckx. MIMO wireless communications: from
real world propagation to space-time code design. Great Britain: Academic Press
Ltd; 2007.
32. D. Franco and J. Lluis,. Multi antenna Systems for MIMO Communications.2008.
theMorgan& Claypool Publishers. Arizona:8-12
33. L, P. R. (2011). A review on the design of MIMO antennas for upcoming 4G, 1(4),
85-93.
34. Rao, P. V. V. K., Vishnu, C., Reddy, V., Tejaswini, K., Babu, B. V. V. R., &Babu,
K. J. (2012). A Wideband H Shape Dielectric Resonator Antenna for Wireless
MIMO Systems, 1(3), 64-66
96
82
35. Kingsley, S. P., Collins, B. S., Iellici, D., Kingsley, J. W., Keefe, S. G. O., Palmer,
T. J., House, F. F., et al. (n.d.).Advancements in Antennas the development of
dielectric antenna technology.
36. Note, A. (n.d.). Antenna Parameters : Antenna Gain, Directivity, and Conversion
Factor, 1-4.
37. Rezaei, P., Hakkak, M., &Forooraghi, K. (2006). Design of Wide-Band Dielectric
Resonator Antenna With a Two-Segment Structure. Progress In Electromagnetics
Research, 66, 111-124. doi:10.2528/PIER06110701
38. So, K. K., & Leung, K. W. (2005). Bandwidth enhancement and frequency tuning
of the dielectric resonator antenna using a parasitic slot in the ground plane. IEEE
Transactions on Antennas and Propagation, 53(12), 4169-4172.
doi:10.1109/TAP.2005.860002
39.
40.
Paper, W. (2007). Long Term Evolution (LTE): an introduction, (October).
Plicanic, V., Zhu, M., & Lau, B. K. (2010). Diversity Mechanisms and MIMO
Throughput Performance of a Compact Six-Port Dielectric Resonator Antenna
Array, (2007).
41. Constantine A.Balanis, “Antenna Theory, Analysis and Design”, John Wiley &
Sons Inc. Publication, 3rd ed., 2005, pg.813.
42. Ain, M. F., Hassan, S. I. S., Ismail, M. N., Othman, M. a., Jaffar, M. R., Othman,
a., Sulaiman, a. a., et al. (2008). 3.5 GHz rectangular dielectric resonator antenna.
2008 IEEE International RF and Microwave Conference, 189-191.
Ieee.doi:10.1109/RFM.2008.4897404
43. Pozar, D.M. (1992). “Microstrip Antenna,” Proceedings of the IEEE, Vol. 80, No
1.
January, IEEE: 79 – 91
44. Asrokin, A.; Abdul Rahim, M. K. ; Abdul Aziz, M. Z. A. Dual band microstrip
antenna for wireless LAN application; APACE 2005. Asia-Pacific Conference on
Applied Electromagnetics. 20-21 Dec. 2005.
R. D'Souza and R.K. Gupta,”printed dual band WLAN Antenna” Member,
IEEE,2005.
45.
46. Garg, R., Bhartia, P., Bahl, I., Ittipiboon, A., Microstrip Antenna Design
Handbook, Artech House, Inc. 2001.
97
83
47. Kumar, G. and Ray, K.P., Broadband Microstrip Antennas, Artech House, Inc.
2003.
48. Stay VellanDoraisamy, “Design OF Microstrip Array Antenna at 5.8GHz”,
Department of Electrical Engineering, University Technology Malaysia. 2005.
49. M. Ramesh, K. B. Yip, Design Inset Fed Microstrip Antenna, Microwaves & RF,
Volume 42, Issue 12, Dec. 2003.
50. Ming-Jee, L., Design, Fabrication and Technology of reconfigurable Antennas.
PhD Dissertation , Electrical and Computer Engineering, University of California,
2007.
51. IEEE. IEEE standard definitions of terms for antennas. IEEE Std 145-1993 21 June
1993 Page(s): i.
52. K. L. Wong. (2002). Compact and Broadband Microstrip Antennas. New York:
John Wiley and Sons.
53. Yang, F., et al., Wide-band E-shaped patch antennas for wireless communications.
IEEE Transactions on Antennas and Propagation, 2001. 49(7): p. 1094-1100.
54. Kraus, J.D and Marhefka R.J. Antennas: for All Application. 3rd Ed. New York,
USA: McGraw Hill. 2002.
55. AsgharKeshtkar, Ahmad Keshtkar, and A. R. Dastkhosh. CircularMicrostrip Patch
Array Antenna for C-Band Altimeter System Journal of Microwaves and
Optoelectronics, Vol. 2.No. 6, December 2002