Hindawi Publishing Corporation
International Journal of Antennas and Propagation
Volume 2014, Article ID 258682, 7 pages
http://dx.doi.org/10.1155/2014/258682
Research Article
A Dual Band Slotted Patch Antenna on
Dielectric Material Substrate
M. Habib Ullah,1,2 M. T. Islam,2 M. R. Ahsan,1,2 J. S. Mandeep,2 and N. Misran2
1
Department of Electrical, Electronic and System Engineering, Faculty of Engineering and Built Environment,
Universiti Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor, Malaysia
2
Institute of Space Science (ANGKASA), Universiti Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor, Malaysia
Correspondence should be addressed to M. Habib Ullah; habib ctg@yahoo.com
Received 4 October 2013; Accepted 2 November 2013; Published 28 January 2014
Academic Editor: Rezaul Azim
Copyright © 2014 M. Habib Ullah et al. his is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A low proile, compact dual band slotted patch antenna has been designed using inite element method-based high frequency fullwave electromagnetic simulator. he proposed antenna fabricated using LPKF printed circuit board (PCB) fabrication machine on
iberglass reinforced epoxy polymer resin material substrate and the performance of the prototype has been measured in a standard
far-ield anechoic measurement chamber. he measured impedance bandwidths of (relection coeicient < −10 dB) 12.26% (14.3–
16.2 GHZ), 8.24% (17.4–18.9 GHz), and 3.08% (19.2–19.8) have been achieved through the proposed antenna prototype. 5.9 dBi,
3.37 dBi, and 3.32 dBi peak gains have been measured and simulated radiation eiciencies of 80.3%, 81.9%, and 82.5% have been
achieved at three resonant frequencies of 15.15 GHz, 18.2 GHz, and 19.5 GHz, respectively. Minimum gain variation, symmetric, and
almost steady measured radiation pattern shows that the proposed antenna is suitable for Ku and K band satellite applications.
1. Introduction
In response to the fast growing microwave technology, there
is increasing demand of compact, low proile, low cost, and
light weight wireless communication module. In order for the
communication terminal to be small, the antennas are needed
to be low proile and compact in size [1–3]. Further demand
of the planar patch antennas is intensiied due to the attractive
properties like simple geometric structure, compact, low proile, ease of integration, and fabrication characteristics with
wide bandwidth. Nowadays, there is increasing demand of
portable wireless communication devices and it is necessary
to be dual/multiband compatible to use in diferent areas or
countries. Due to the scarcity of bandwidth in the lower band,
Ku/K band antenna design receives signiicant research attention recently [4, 5]. As a result, the demand of satellite-based
portable communication devices is increasing remarkably,
especially vehicle tracking, portable satellite station, weather
forecasting, and so forth. Numerous types of patch antennas
have been studied and examined by several researchers due to
their excellent properties. hese antennas use the monopole
coniguration, such as ring, elliptical, circular disc, annual
ring, triangle, pentagon, and hexagonal antennas, and the
dipole coniguration like bow-tie antennas [6–11].
In order to design small and compact wireless device,
it is obligatory to miniaturize the antenna size accordingly.
here are numbers of requirements such as wide bandwidth,
less expensive, miniature size, steady radiation patterns, and
consistent gain for multiband antennas [5, 12]. Several studies
have reported applications and technologies of the multiband antenna design, including dipole antenna loaded with
single-cell metamaterial [13], slot-ring antenna with singleand dual-capacitive coupled patch [14], metamaterial-based
planar antenna [15, 16], dual-patch elements [6], E-shape
fractal antenna [17], and electromagnetic band gap (EBG)
structure-based antenna [10]. A numerous concentration has
given by several researchers that cutting the printed slot at the
edge of radiating patch to create the desired antenna shape
with targeted resonant frequency can be obtained [18, 19].
Although the resonance of the antenna not only depends on
2
International Journal of Antennas and Propagation
Table 1: Coniguration of the proposed patch antenna.
Parameter
�0
�1
�2
�3
�4
�5
Value
15 mm
2 mm
4 mm
4 mm
2 mm
1 mm
W1
L2
Value
20 mm
4 mm
2 mm
2 mm
4 mm
5 mm
L1
Parameter
�0
�1
�2
�3
�4
�5
W0
W2
2. Antenna Design and Configurations
he proposed antenna is designed and analyzed by using
inite element method-based high frequency electromagnetic
ield simulator [12, 23]. he design coniguration starts with
20 mm (1.01 �) long and 15 mm (0.75 �) planar slotted 2S
shape radiating patch. In the proposed antenna design, �
is corresponding to the wavelength at the fundamental frequency 15.15 GHz. he 2S shape is obtained by cutting 4 slots
perpendicular to each other from rectangular shape. he size
of the radiating patch has a major efect on the antenna performance. he overall size of the proposed antenna has been
determined by using widely used mathematical formulation
L4
W3
W4
L5
the slot but also depends on the size of the radiating element,
feed line characteristics, ground plane, and so forth.
Furthermore, a signiicant amount of research attention has been given into microstrip patch antennas since
decades. A 79 mm × 38 mm EE-H shaped L probe microstrip
patch antenna has been introduced and achieved bandwidth
440 MHz with peak gain 9.5 dBi [20]. A 58 mm × 58 mm
wideband dual polarized patch antenna has been proposed
and obtained 1.03 GHz bandwidth with 9.3 dBi gain [21]. A
12 mm × 16 mm ultrawideband antenna with dual notched
band characteristics has been ofered and achieved 8.3 GHz
bandwidth and 3.8 dBi maximum gain [22]. However, the
reported antennas are either narrower in bandwidth, lower
in gain, or larger in size compared to the proposed antenna.
Nonetheless, more research concentration needs to be given
to improve gain, eiciency, and bandwidth alongside the
miniaturization of overall antenna size.
herefore, a 20 mm × 15 mm compact, low proile dual
band slotted patch antenna has been designed and prototyped on epoxy polymer resin-based printed circuit board
(PCB). he performance of the proposed antenna prototype
has been measured in a standard far-ield anechoic measurement chamber. he impedance bandwidths (relection
coeicient < −10 dB) ranging from 14.3 GHz to 16.2 GHz
(1.9 GHz), from 17.4 GHz to 18.9 GHz (1.5 GHz), and from
19.2 GHz to 19.8 GHz (0.6 GHz) have been measured from the
proposed antenna prototype. he gains of 5.9 dBi, 3.37 dBi,
and 3.32 dBi have measured and radiation eiciencies of
80.3%, 81.9%, and 82.5% have been simulated at three resonant frequencies of 15.15 GHz, 18.2 GHz, and 19.5 GHz,
respectively. Radiation characteristics and surface current
distribution along the radiating patch are also analyzed in this
paper.
L3
L0
W5
Figure 1: Design schematic of the radiating patch of the proposed
antenna.
for patch antennas [24]. he available mathematical modeling
of patch antennas is based on rectangular patch. Although
due to the four cutting slots in radiating patch the overall
size calculation is not straightforward as simple rectangular
patch antenna, it has been optimized using HFSS optimetrics
[16, 25–27]. he electromagnetic wave propagates toward the
endire direction headed by the parasitic director element
on the top while acting as an impedance matching element
simultaneously. he design of the microstrip radiating patch
element involves the estimation of its dimensions. he patch
width (�) has a minor efect on the resonance and it has been
determined by using the mathematical modeling as shown
below [24]:
�=
� √ �� + 1
,
2��
2
(1)
where � is the speed of light in free space and �� is the
relative permittivity of the substrate material of the proposed antenna. he microstrip patch lies between air and
International Journal of Antennas and Propagation
3
Figure 2: Photograph of the proposed antenna prototype top view and rear view, respectively.
he efective patch length � � can be written as [20]
Proposed antenna
in measurement
� � = l + 2Δ�.
Reference
antenna
Absorbers
Turn
table
Figure 3: Illustration of the anechoic measurement chamber.
the dielectric material, and, thus, the electromagnetic wave
sees an efective permittivity (�ref ) given by [24]:
�ref = [
�� + 1
� −1
10ℎ
]+[ �
] √ [1 +
].
2
2
�
(2)
he length of the radiating patch (�) is responsible for
the resonant frequency and is a critical parameter in design
because of the inherent narrow bandwidth of the patch. he
design value for � can be determined by using the following
formula [24]:
�
− 2Δ�,
�=
2�� √�ref
(3)
(� + 0.3)
�/ℎ + 0.264
Δ�
][
= 0.412 [ ref
].
ℎ
�/ℎ + 0.8
(�ref + 0.3)
(4)
where �ref is the efective permittivity of the substrate material
of the proposed antenna. he additional line length on Δ�
both ends of the patch length, due to the efect of fringing
ields, is given by [3]
(5)
he proposed antenna fed by 2 mm long 1 mm wide
widely used microstrip feed line to achieve impedance characteristics of 50 ohm. An SMA connector is connected at
the end of the microstrip feed line. he design geometry
of the proposed antenna has shown in Figure 1. he length
of the radiating patch dominates bandwidth and resonance,
whereas the width has minor efect. he microstrip feed
line with 5 mm × 1 mm dimension is placed at the center
of �-axis to achieve 50 ohm impedance characteristics. he
details of the proposed antenna coniguration are tabulated in
Table 1.
he schematic of the radiating patch of the proposed
antenna has been shown in Figure 1 and the detail coniguration. he proposed antenna is printed on more available,
low cost, durable epoxy polymer resin material substrate with
thickness of 1.6 mm, relative permittivity of 4.6, dielectric
loss tangent of 0.02, using in-house S63 PCB prototyping
machine from LPKF, Garbsen, Germany. At the end of
the microstrip feed line, SMA connector is connected. he
fabricated prototype of the proposed antenna is illustrated in
Figure 2.
3. Measurement Environment
he prototype of the proposed antenna has been measured in
a standard far-ield testing environment [18, 28]. A rectangular shape 5.5 × 4.5 m2 and a 4 m height anechoic measurement
chamber were used to measure the result parameter of the
proposed antenna prototype. A double ridge guide horn
antenna has been used as reference antenna. Pyramidal
shape electrically thick foam absorber with less than −60 dB
relectivity at normal incidence has been used on the wall,
celling and loor. A turn table of 1.2 m diameter has been used
International Journal of Antennas and Propagation
0
7
−5
6
K band
Ku band
−10
Gain (dBi)
Relection coefficient (dB)
4
−15
5.9 dBi at 15.15 GHz
5
4
−20
3.37 dBi at 19.5 GHz
3.37 dBi at 18.2 GHz
3
−25
14
14
15
16
17
18
19
15
16
20
Frequency (GHz)
18
19
20
Measured
Simulated
Measured
Simulated
Figure 4: Simulated and measured relection coeicients of the
proposed antenna prototype.
17
Frequency (GHz)
Figure 5: Simulated and measured gains of the proposed antenna.
100
4. Performance Result and Discussion
he performance results of the proposed antenna prototype are deliberated in this section. he measured and
simulated relection coeicients are shown in Figure 4. It
can be clearly seen that the impedance bandwidth (relection coeicient < −10 dB) ranging from 14.3 GHz to 16.2 GHz
(1.9 GHz), from 17.4 GHz to 18.9 GHz (1.5 GHz), and from
19.3 GHz to 19.8 GHz (0.6 GHz) was measured from the proposed antenna prototype. he slight inconsistency observed
between simulated and measured relection coeicients could
be due to SMA soldering efect or the loss introduced by
the cable between antenna under test and the controller.
However, the measurement setup has been calibrated using
Agilent automatic calibration tools. he simulated and measured gain of the proposed antenna has been shown in
Figure 5. Average gains of 5.6 dBi, 3.5 dBi, and 3.1 dBi have
been measured for irst, second, and third bands correspondingly. For the gain measurement of the proposed antenna,
three antenna measurement systems have been used with two
identical horn antennas [29, 30].
he radiation eiciency of the proposed antenna is shown
in Figure 6. It exhibits 80.3%, 81.9%, and 82.5% at three
resonant frequencies of 15.15 GHz, 18.2 GHz, and 19.5 GHz,
respectively, with minimum variation. he measured almost
steady radiation pattern of the proposed antenna prototype
is shown in Figure 7. he cross polarization efects of both
95
Radiation efficiency (%)
to rotate the measuring antenna with speciication, 1 rpm
rotation speed; 360∘ rotation angle connected with 10 meter
cable between controllers. An Agilent PNA-series vector
network analyzer (Agilent E8362C) ranging up to 20 GHz has
been used for measurement procedure. Figure 3 shows the
photograph of the anechoic antenna measurement chamber.
90
85
80.3% at 15.15 GHz
82.5% at 19.5 GHz
81.9% at 18.2 GHz
80
75
70
65
60
14
15
16
17
18
Frequency (GHz)
19
20
Figure 6: Radiation eiciency of the proposed antenna.
E and H planes are lower than copolarization. Figure 8 shows
the Smith chart of the proposed antenna. he VSWR and
impedance (Rx) characteristics can be validated from the
Smith chart. It can be clearly observed that the three resonant
frequencies are in the VSWR 2 : 1 circle.
5. Conclusion
A 20 mm × 15 mm slotted patch antenna was designed and
fabricated on the epoxy polymer resin composite material substrate for dual band applications. he measured
performance results of the proposed antenna exhibit the
impedance bandwidth (relection coeicient < −10 dB) ranging from 14.3 GHz to 16.2 GHz (12.26%), from 17.4 GHz to
18.9 GHz (8.24%), and from 19.3 GHz to 19.8 GHz (3.08%).
International Journal of Antennas and Propagation
5
E Plane
H Plane
10
10
0
0
−10
0
0
(dB)
(dB)
−10
0
−20
−20
−30
−30
−40
−180
−40
−90
0
𝜃 (deg)
90
−50
−180
180
0
−90
90
180
𝜃 (deg)
10
10
0
0
−10
−10
(dB)
(dB)
(a)
−20
−20
−30
−30
−40
−40
−50
−180
−90
0
𝜃 (deg)
90
−50
−180
180
0
−90
90
180
90
180
𝜃 (deg)
10
10
0
0
−10
−10
(dB)
(dB)
(b)
−20
−20
−30
−30
−40
−40
−50
−180
−90
0
𝜃 (deg)
90
−50
−180
180
0
−90
𝜃 (deg)
Copolarization
Cross polarization
Copolarization
Cross polarization
(c)
Figure 7: Measured radiation pattern of the proposed antenna at (a) 15.15 GHz, (b) 18.2 GHz, and (c) 19.5 GHz.
6
International Journal of Antennas and Propagation
100
110
90
80
70
1.00
60
120
130
50
0.50
2.00
40
140
30
150
0.20
160
5.00
VSWR = 2 : 1
170
0.00
0.00
180
20
0.50
0.20
1.00
2.00
5.00
0
M1
−10
−170
−160
10
M3
M2
−0.20
−5.00
−20
−30
−150
−40
−140
−130
−0.50
−2.00
−120
−1.00
−110
−100
Mark
−50
−60
Freq.
−90
−80
−70
Rx
VSWR
(GHz)
M1
15.15
0.985 − 0.781i
1.65
M2
18.2
1.042 − 0.892i
1.892
M3
19.5
1.245 − 0.967i
1.901
Figure 8: he Smith chart of the proposed antenna.
Average gains of 5.6 dBi, 3.5 dBi, and 3.1 dBi have been measured at irst, second, and third bands, respectively. Radiation
eiciencies of 80.3%, 81.9%, and 82.5% have been simulated at three resonant frequencies of 15.15 GHz, 18.2 GHz,
and 19.5 GHz correspondingly. he measured almost steady
omnidirectional radiation pattern shows that the proposed
antenna is suitable for Ku and K band applications.
Conflict of Interests
he authors declare that there is no conlict of interests
regarding the publication of this paper.
References
[3] M. Habib Ullah, M. T. Islam, J. S. Mandeep, N. Misran, and N.
Nikabdullah, “A compact wideband antenna on dielectric material substrate for K band,” Electronics and Electrical Engineering,
vol. 123, no. 7, pp. 75–79, 2012.
[4] M. H. Ullah, M. T. Islam, and J. S. Mandeep, “Printed prototype
of a wideband S-shape microstrip patch antenna for Ku/K band
applications,” Applied Computational Electromagnetics Society
Journal, vol. 28, no. 4, pp. 307–313, 2013.
[5] R. Azim, M. T. Islam, and N. Misran, “Printed planar antenna
for wideband applications,” Journal of Infrared, Millimeter, and
Terahertz Waves, vol. 31, no. 8, pp. 969–978, 2010.
[6] H. F. Abutarboush, R. Nilavalan, S. W. Cheung et al., “A
reconigurable wideband and multiband antenna using dualpatch elements for compact wireless devices,” IEEE Transactions
on Antennas and Propagation, vol. 60, no. 1, pp. 36–43, 2012.
[1] Y. Cao, B. Yuan, and G. Wang, “A compact multiband openended slot antenna for mobile handsets,” IEEE Antennas and
Wireless Propagation Letters, vol. 10, pp. 911–914, 2011.
[7] L. Liu, S. W. Cheung, R. Azim, and M. T. Islam, “A compact circular-ring antenna for ultra-wideband applications,” Microwave
and Optical Technology Letters, vol. 53, no. 10, pp. 2283–2288,
2011.
[2] M. T. Islam, M. Moniruzzaman, N. Misran, and M. N. Shakib,
“Curve itting based particle swarm optimization for uwb patch
Antenna,” Journal of Electromagnetic Waves and Applications,
vol. 23, no. 17-18, pp. 2421–2432, 2009.
[8] S. K. Rajgopal and S. K. Sharma, “Investigations on ultrawideband pentagon shape microstrip slot antenna for wireless communications,” IEEE Transactions on Antennas and Propagation,
vol. 57, no. 5, pp. 1353–1359, 2009.
International Journal of Antennas and Propagation
[9] J. J. Tiang, M. T. Islam, N. Misran, and J. S. Mandeep, “Slot
loaded circular microstrip antenna with meandered slits,” Journal of Electromagnetic Waves and Applications, vol. 25, no. 13,
pp. 1851–1862, 2011.
[10] T. Li, H. Q. Zhai, G. H. Li, and C. H. Liang, “Design of compact
UWB band-notched antenna by means of electromagneticbandgap structures,” Electronics Letters, vol. 48, no. 11, pp. 608–
609, 2012.
[11] J. Yang and A. Kishk, “A novel low-proile compact directional
ultra-wideband antenna: the self-grounded Bow-Tie antenna,”
IEEE Transactions on Antennas and Propagation, vol. 60, no. 3,
pp. 1214–1220, 2012.
[12] M. H. Ullah, M. T. Islam, J. S. Mandeep, and N. Misran, “A
new double L shape multiband patch antenna on polymer resin
material substrate,” Applied Physics A, vol. 110, no. 1, pp. 199–205,
2013.
[13] M. R. Booket, A. Jafargholi, M. Kamyab, H. Eskandari, M.
Veysi, and S. M. Mousavi, “Compact multi-band printed dipole
antenna loaded with single-cell metamaterial,” IET Microwaves,
Antennas and Propagation, vol. 6, no. 1, pp. 17–23, 2012.
[14] C. Y. Sim, F. R. Cai, and Y. P. Hsieh, “Multiband slotring antenna with single- and dual-capacitive coupled patch
for wireless local area network/worldwide interoperability for
microwave access operation,” IET Microwaves, Antennas and
Propagation, vol. 5, no. 15, pp. 1830–1835, 2011.
[15] D. K. Ntaikos, N. K. Bourgis, and T. V. Yioultsis, “Metamaterialbased electrically small multiband planar monopole antennas,”
IEEE Antennas and Wireless Propagation Letters, vol. 10, pp.
963–966, 2011.
[16] Y. Rahmat-Samii, L. I. Williams, and R. G. Yaccarino, “UCLA
bi-polar planar-near-ield antenna-measurement and diagnostics range,” IEEE Antennas and Propagation Magazine, vol. 37,
no. 6, pp. 16–35, 1995.
[17] F. A. Ghafar, M. U. Khalid, K. N. Salama, and A. Shamim, “24GHz LTCC fractal antenna array SoP with integrated Fresnel
lens,” IEEE Antennas and Wireless Propagation Letters, vol. 10,
pp. 705–708, 2011.
[18] M. H. Ullah and M. T. Islam, “A compact square loop patch
antenna on high dielectric ceramic-PTFE composite material,”
Applied Physics A, vol. 113, no. 1, pp. 185–193, 2013.
[19] M. Bittera, J. Hallon, and V. Smieško, “Measurement and simulation of ield homogenity inside semi-anechoic chamber,” in
Measurement Science Review, vol. 3, section 3, pp. 143–146, 2003.
[20] M. T. Islam, M. N. Shakib, and N. Misran, “Design analysis
of high gain wideband L-probe fed microstrip patch antenna,”
Progress in Electromagnetics Research, vol. 95, pp. 397–407, 2009.
[21] B. Li, Y.-Z. Yin, W. Hu, Y. Ding, and Y. Zhao, “Wideband dualpolarized patch antenna with low cross polarization and high
isolation,” IEEE Antennas and Wireless Propagation Letters, vol.
11, pp. 427–430, 2012.
[22] M. Moosazadeh, A. M. Abbosh, and Z. Esmati, “Design of compact planar ultrawideband antenna with dual-notched bands
using slotted square patch and pi-shaped conductor-backed
plane,” IET Microwaves, Antennas and Propagation, vol. 6, no.
3, pp. 290–294, 2012.
[23] M. H. Ullah and M. T. Islam, “Ceramic substrate shrinks patch
antenna,” Microwaves and RF, vol. 51, no. 8, pp. 50–54, 2012.
[24] C. A. Balanis, Antenna heory: Analysis and Design, Wiley-Interscience, 3rd edition, 2012.
[25] R. T. Remski, “Analysis of photonic bandgap surfaces using
Ansot HFSS,” Microwave Journal, vol. 43, no. 9, pp. 190–198,
2000.
7
[26] N. Appannagaari, I. Bardi, R. Edlinger et al., “Modeling phased
array antennas in Ansot HFSS,” in Proceedings of the IEEE International Conference on Phased Array Systems and Technology,
pp. 323–326, May 2000.
[27] R. T. Remski, “Analysis of photonic bandgap surfaces using
Ansot HFSS,” Microwave Journal, vol. 43, no. 9, pp. 190–198,
2000.
[28] “IEEE Standard Test Procedures for Antennas,” ANSI/IEEE
Standard 149-1979, pp. 94–96, 1979.
[29] G. E. Evans, Antenna Measurement Techniques, vol. 1, Artech
House, Norwood, NJ, USA, 1990.
[30] M. H. Ullah, M. T. Islam, and M. R. I. Faruque, “A nearzero refractive index meta-surface structure for antenna performance improvement,” Materials, vol. 6, no. 11, pp. 5058–5068,
2013.
International Journal of
Journal of
Control Science
and Engineering
The Scientiic
World Journal
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Rotating
Machinery
Advances in
Mechanical
Engineering
Journal of
Robotics
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Engineering
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Journal of
Hindawi Publishing Corporation
http://www.hindawi.com
International Journal of
Chemical Engineering
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Volume 2014
Submit your manuscripts at
http://www.hindawi.com
International Journal of
Distributed
Sensor Networks
Hindawi Publishing Corporation
http://www.hindawi.com
Advances in
Civil Engineering
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Advances in
Acoustics &
Vibration
International Journal of
VLSI Design
Volume 2014
Navigation and
Observation
Advances in
OptoElectronics
Modelling &
Simulation
in Engineering
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Active and Passive
Electronic Components
Hindawi Publishing Corporation
http://www.hindawi.com
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Volume 2014
International Journal of
Antennas and
Propagation
Journal of
Hindawi Publishing Corporation
http://www.hindawi.com
Sensors
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Journal of
Shock and Vibration
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014
Electrical and Computer
Engineering
Hindawi Publishing Corporation
http://www.hindawi.com
Volume 2014