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SIGNAL CONSTELLATION DIAGRAM (SCATTER PLOT) FOR ALTERED MODULATION SYSTEM FOR THE FIXED WIMAX AND...
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International Journal of Exploring Emerging Trends in Engineering (IJEETE)
Vol. 01, Issue 01, Sept, 2014 WWW.IJEETE.COM
All Rights Reserved 2014 IJEETE Page 7
SIGNAL CONSTELLATION DIAGRAM (SCATTER PLOT) FOR ALTERED
MODULATION SYSTEM FOR THE FIXED WIMAX AND MOBILE WIMAX
1Ankur Bindal,2Manish Kansal1Dept. of ECE,MMEC , Mullana ,Haryana
2
Head of Dept. ECE, Panchkula engineering College , Mouli ,Haryana
ABSTRACT
The endeavour of this paper is to analyze the
scatter plot for altered modulation system for
WiMAX physical layer with the implementation
of different modulation formats, for fixed
(IEEE802.16d) and Mobile WiMAX
(IEEE802.16e) . The Simulation also includes
the altering multipath fading (Raleigh and
Rician) channels and their parameters. Asegment of synthetic data is used for the
analysis.. In addition to this, channel assessment
is computed using a popular technique known
as interpolation. Computer simulation results
based on Scatter plot for alternation modulation
system demonstrate that the performance.
Keywords: WiMAX, IEEE802.16e,
IEEE802.16d
I INTRODUCTIONIn last decade, for high data rate applications
orthogonal frequency division multiplexing is
among the most important preference. In this
technique, instead of using single wide band
carriers a number of narrow band carriers are
used and it is also effectual to deal with
multipath fading channel. OFDM is used for
reducing the Inter symbol Interference (ISI) by
avoiding multipath in frequency selective
channels. WIMAX is short form of eWorldwide Interoperability for Microwave
Access. WiMAX is mainly used for high
bandwidth application. For the implementation
of the WiMAX model, simulation model used is
MATLAB. Based on the various modulation
techniques in this paper we are investigating the
performance of Scatter plot in altered channels.
To enhance the performance of the system here
sub allocation of carriers.
II WIMAX SIMULATION MODEL
To implement the OFDM transmission scheme,
the system is divided into three sections
Transmitter, Channel and Receiver. In the,
binary input data sequence is take place in the
transmitter. Forward Error-Correction Coding
(FEC)and interleaving is done to give frequency
diversity. The series is encoded by a
convolutional encoder. Then Interleaving isapplied to randomize the occurrence of bit
errors prior to increase performance.
After interleaving, the binary values are
converted to symbol values, on which digital
modulation scheme is applied[1]. Previously,
multi-carrier systems were implemented
through the use of separate local oscillator. This
was both inefficient and costly. With the start of
cheap powerful processors, the sub-carriers
currently be implemented by the FFT which
keep tones to orthogonal with each other the
symbol is modulated onto sub carriers by apply
the Inverse Fast Fourier Transform (IFFT).
Output is converted to serial and a cyclic
extension is added to make the system robust to
multipath propagation. [2]
In channel, additive white Gaussian noise
characteristics are taken. The receiver performs
the reverse operations of the transmitter. After
removing the cyclic extension, the signal can be
applied to a Fast Fourier transform to recoverthe modulated values of all subcarriers. The
modulated values are then demapped into
binary values, and finally deinterleaving and
Viterbi decoder decodes the information bits[4].
III SUBCARRIER ALLOCATION
WiMAX define three types of subcarriers: null
subcarriers, data and pilot. The mapped data
symbols from the very last step are arranged to
be a matrix where its rows number is equal to
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International Journal of Exploring Emerging Trends in Engineering (IJEETE)
Vol. 01, Issue 01, Sept, 2014 WWW.IJEETE.COM
All Rights Reserved 2014 IJEETE Page 8
the number of data subcarriers (S). Other then
pilot, data subcarriers and NULL sub-carriers is
inserted in the input signal.
Basically one OFDM symbol consists of the
Sdata PSK or QAM symbols, Spilots and Sguardempty symbol. The total amount of sub-carriers
is calculated by the number of points required toperform IFFT. The data sub-carriers are
weighed down by the data symbols modulated.
Fig. 1Sub-carrier allocation
Pilot symbols can be used to execute frequency
offset compensation at the receiver. These pilots
are obtained by a pseudo-random binary
sequence (PRBS) generator that is based on the
polynomial x11+x9+ 1[5].
IV SYMBOL MAPPERThe interleaved bit data are then passed to the
constellation mapped, where depending upon
the data size modulation scheme is applied.
There are four different modulation schemes i.e.BPSK, QPSK, 16-QAM and 64 QAM.
Modulation is done by representing a modulated
signal by distributing the incoming bits into
groups of i bits. The number of points will be
represented on the constellation diagram, there
will be 2ipoints.
The size of I is 1, 2 ,4,and 6 for
BPSK,QPSK,16QAM,64QAM respectively.
The constellation diagram is having two
components i.e. In-phase component (I) andQuadrature component (Q). This adaptive
modulation and coding (AMC) is used
efficiently for improve the BER in the WiMAX
system.[7]
V OFDM MODUALTIONMobile radio channels introduce severe
multipath propagation due to multiple scattering
from objects in the surrounding area of the
mobile. Also the gesture of the mobile unit
introduces a Doppler shift which causes abroadening of the signal spectrum.
The multipath channel can also be frequency
selective in which case the fading envelope of
the received signal at one frequency might not
be correlated with the envelope at another
frequency. To obtain a channel which has no ISI
it is necessary that the symbol time Tsshould be
more or greater than the channel delay spreadtime and if the symbol time approaches or
falls below the channel delay spread time then
the BER becomes intolerable and the system is
unbearable.[4]
The key benefit is that the parallel transmission
enlarges the symbol time by modulating the
symbols into narrow sub-channels. This
increase in symbol time makes it more vigorous
to the channel delay spread effects.
VI CHANNEL
We use the following function for the :-
Ricianchan (Ts, fm, kFactor, tau, pdb)
Rayleighchan(Ts,Fm,tau,pdb)
To create a Rician channel and Rayleigh
channel object chan where the following
parameters are as follows:-
Input sample period is Ts,Maximum Doppler shift isfm,
A vector of Rician kfactor is kFactor,
A vector of path delays tau,
and a vector of average path power gainspdb
(in dB).
VI DOPPLER SPREAD IN CHANNELDue to the multipath propagation of radio
waves, multiple copies of the same signal are
received at the receiver end. If the user is
moving with some velocity (speed), there is ashift of frequencies in each of these received
signals [5]. This process is known as Doppler
shift.
(2)
Where, be the Doppler shift frequency, isthe velocity of moving object,
be speed of light and is an angle withrespect to reference point.
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Where,be the Doppler shift frequency,
is carrier frequency (2.500e9 Hz)
is the velocity of moving object,
be speed of light (3e8 m /s) and
is an angle with respect to reference point.
For velocity =30 Km/h, the Doppler frequency
will be:-
For velocity =60 Km/h , the Doppler frequency
will be :-
VII RECIEVER SECTION
The receiver will perform the reverse procedure
as that of the transmitter by the help of channelestimation. Firstly, down converter and filtering
and the FFT algorithm is processed. OFDM
symbol is composed by data, pilots, a zero DC
subcarrier, and some guard bands.
Thus, a process to break up all these subcarriers
is needed. Primary, the guard bands are
removed, and then, a disassembling is
performed to acquire pilots and data. The pilots
subcarriers are used in the channel estimator,
which compute the channel coefficients
VII SIMULATION RESULTSIn this simulation work, In scatter plot, the
transmitted symbol is denoted by the + and the
received signal is denoted by symbol without
equalization. The equalized signal is denoted by
the . and from these plot the effect of fading in
multipath channel on the phase and amplitude
of the symbol. The equalized signal is required
to compensate the fading effects. Fig 7.1-7.8
shows signal constellation diagram (scatter plot)
for different modulation techniques such asBPSK, QPSK, 16-QAM, 64- QAM for the fixed
WiMAX. When the arriving signal is passed
through the channel, subsequently the
performance of the system degrades due to
fading cause and Doppler spread. The channel
has three paths consisting of LOS path and two
Rayleigh components. The required signal is
corrupted by the previous multipath model.
Scatter plot comparison among the fixed
WiMAX for two different channels for the
modulation technique: - BPSK
Figure 1signal constellation diagram for BPSK in Rician
channel for fixed WiMAX
Figure 2signal constellation diagram for BPSK in
Rayleigh channel for fixed WiMAX
-2 -1 0 1 2
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Quadrature
In-Phase
BPSK ,Rician channel
Received signal
Equalized signal
Signal constellation
-1.5 -1 -0.5 0 0.5 1 1.5
-1.5
-1
-0.5
0
0.5
1
1.5
Quadrature
In-Phase
BPSK ,Rayleigh channel
Received signal
Equalized signal
Signal constellation
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Scatter plot comparison among the fixed
WiMAX for two different channels for the
modulation technique: - QPSK
Figure 3signal constellation diagram for QPSK in Rician
channel for fixed WiMAX
Figure 4Signal constellation diagram for QPSK inRayleigh channel for fixed WiMAX
Scatter plot comparison among the fixed
WiMAX for two different channels for the
modulation technique: - 16-QAM
Figure 5Signal constellation diagram for 16-
QAM in Rician channel for fixed WiMAX
Figure 6Signal constellation diagram for 16-QAM inRayleigh channel for fixed WiMAX
-1 -0.5 0 0.5 1
-1
-0.5
0
0.5
1
Quadrature
In-Phase
QPSK ,Rician channel
Received s ignal
Equalized signal
Signal constellation
-2 -1 0 1 2
-2.5
-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
Quad
rature
In-Phase
QPSK ,Rayleigh channel
Received signal
Equalized signal
Signal constellation
-6 -4 -2 0 2 4 6
-6
-4
-2
0
2
4
6
Quadrature
In-Phase
16-QAM ,Rician channel
Received signal
Equalized signal
Signal constellation
-6 -4 -2 0 2 4 6
-6
-4
-2
0
2
4
6
Quad
rature
In-Phase
16-QAM ,Rayleigh channel
Received signal
Equalized signal
Signal constellation
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Scatter plot comparison among the fixed
WiMAX for two different channels for the
modulation technique:- 64-QAM
Figure 7 Signal constellation diagram for BPSK in 64-
QAM channel for fixed WiMAX
Figure 8 Signal constellation diagram for 64-QAM inRayleigh channel for fixed WiMAX
Scatter plot comparison among the MobileWiMAX for Rayleigh channel having different
velocities for the modulation technique:- BPSK
Figure 9 Signal constellation diagram for BPSK in
Rayleigh channel for Mobile WiMAX(V=30km/h)
Figure 10 Signal constellation diagram for BPSK inRayleigh channel for fixed WiMAX(V= 60km/h)
-15 -10 -5 0 5 10 15
-15
-10
-5
0
5
10
15
Quadrature
In-Phase
64-QAM ,Rician channel
Received signal
Equalized signal
Signal constellation
-15 -10 -5 0 5 10 15
-15
-10
-5
0
5
10
15
Quadrature
In-Phase
64-QAM ,Rayleigh channel
Received signal
Equalized signal
Signal constellation
-2 -1 0 1 2-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Quadrature
In-Phase
BPSK ,Rayleigh channel , For mobile WiMAX =>>v=30km/h
Received s ignal
Equalized signal
Signal constellation
-2 -1 0 1 2-2
-1.5
-1
-0.5
0
0.5
1
1.5
2
Quadrature
In-Phase
BPSK ,Rayleigh channel , For mobile WiMAX =>>v=60km/h
Received signal
Equalized signal
Signal constellation
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Scatter plot comparison among the Mobile
WiMAX for Rayleigh channel having different
velocities for the modulation technique:- QPSK
Figure 11 Signal constellation diagram for QPSK in
Rayleigh channel for Mobile WiMAX(V=30km/h)
Figure 12 Signal constellation diagram for QPSK inRayleigh channel for Mobile WiMAX(V=60km/h)
CONCLUSION
In OFDM system with IEEE 802.16 standard
implementation for Fixed and mobile WiMAX,
the various modulation techniques are tested fordifferent channel conditions. The BER
performance of system through broadband
WiMAX-PHY layer based wireless
communication system adopting the RRC
Transreceiver filter and Sub allocation of
carriers along with different digital modulation
schemes is evaluated. A range of system
performance highlights the impact of digital
modulations. The most important conclusions
are given below:
From the channels, the multipath fading
effects is studied and simulated.
From the scatter plot, it is observed that
multipath fading in channel causing the
phase rotation and amplitude changes. The
desired signal is distorted by the multipath
model.
At last when the comparison of system
performance with and without equalization
is estimated. The results can be easilyanalysis by the scatter plots
From the above three main points, we can
conclude the performance factors in terms of
Scatter plot of WiMAX. Lowest multipath
fading is of the Fixed WiMAX as compared to
the Mobile WiMAX. In case of high data rate
only the higher level modulation (64- QAM)
can provide that rate. When the channel is came
into consideration Rician channel is having the
efficient utilization of the signal.
REFERENCES
[1] Vikas K. Sukhjit Singh;WiMAX Physical
Layer Simulator Using Different ModulationSchemes ;IJCER, Vol. 3 Issue. 2,Issn 2250-
3005, 2013.
[2] Hardeep Kaur, M L Singh; Bit Error Rate
Evaluation of IEEE 802.16 (WiMAX) in
OFDM System ;IJCA-09758887 , Volume40No.12 ,2013.
-3 -2 -1 0 1 2 3-3
-2
-1
0
1
2
3
Quadrature
In-Phase
QPSK ,Rayleigh channel,For mobile WiMAX =>>v=30km/h
Received signal
Equalized signal
Signal constellation
-3 -2 -1 0 1 2 3-3
-2
-1
0
1
2
3
Quadrature
In-Phase
QPSK ,Rayleigh channel,For mobile WiMAX =>>v=60km/h
Received signal
Equalized signal
Signal constellation
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[3] Yongxue Wang; Study of Interpolation
Algorithm for WIMAX-OFDM System ;
Journal of Information & Computational
Science9: 13 (2012) 36733681, 2012.
[4] Md Ash. Islam,Riaz Uddin, Md.Zahid;
Performance Evaluation of Wimax Physical
Layer under Adaptive ModulationTechniques and Communication Channels;
University of Rajshahi, Rajshahi,
Bangladesh;IJCSIS-vol.5,No, 2009.
[5]Theodore S. Rappaport; Wireless
Communications: Principles & Practice, 2nd
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[6]Israel Koffman, Vincentzio Roman;
Broadband Wireless Access Solutions Based
on OFDM Access in IEEE 802.16, IEEE
Communication Magazine,2002.
[7] J. Mountassir, M. Kovaci et.al ; A
physical layer simulator for WiMAX inRayleigh fading channel,6th IEEE
International (SACI), pp. 281-284,2011.
AUTHORS BILOGRAPHY
Ankur Bindal received his
B.Tech. degree in Electronics
and communicationEngineering from Jind Institute
of Engineering and
Technology, Jind, Haryana in
2011 and M.Tech in ECE
from Panchkula Engineering College,
Panchkula, Haryana. Presently He is working in
Department of Electronics and Communication
Engineering in M.M.E.C., M.M.U. Mullana
(Ambala).
Manish Kansal received his
B.Tech. degree in Electronics
and communication
Engineering and M.Tech in
ECE from M.M.E.C., M.M.U.
Mullana. Presently He is
working as Head of ECE department and
Assistant Professor in Department of
Electronics and Communication Engineering in
P.E.C., Mouli (Panchkula).