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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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    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

    ed., Prentice Hall,2007.

    [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).