anfis based data rate prediction for cognitive radio

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    FINAL YEAR P3 PROJECT PRESENTATION

    ADAPTIVE NEURO- FUZZY INFERENCE SYSTEM BASED

    DATA RATE PREDICTIONFOR

    COGNITIVE RADIO

    Presented By

    As!"t# Y#d#$ %&'&(3)*

    G#+r#$ J#"s,# %&'&(./*

    M#y#n0 S"n12# %&'&(&*

    N"s2#nt S"n2# %&'&(4'*

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    Contents

    Project Layout

    Design Procedure

    - CR Design procedure

    - ANFIS Design procedure for data rate prediction

    Simulation Model

    - CR Simulation model

    - ANFIS ased data rate prediction simulation model Results

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    Project Layout

    !"e #or$ proposed in our project summari%es t"e follo#ing

    points&

    - 'arious stages of Cogniti(e Radio) its emergent e"a(ior

    and standards) and its applications*

    - Implementation of Cogniti(e Radio Net#or$*

    - ANFIS ased learning sc"eme and its use for data rate

    prediction for Cogniti(e Radio*

    - Discussing performance of ANFIS met"ods li$e RMS+)prediction accuracy etc*

    - Simulation of ANFIS model along #it" results*

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    CR Design Procedure

    Figure 1: ,loc$ Diagram for simulation of cogniti(e radio implementation

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    ANFIS Design procedurefor data rate prediction

    Figure 2& ANFIS design procedure for

    data rate prediction

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    CR Simulation Model

    No* of primary users in t"e net#or$ &

    Do you #ant to enter first primary user ./N & .

    Do you #ant to enter second primary user ./N & .

    Do you #ant to enter t"ird primary user ./N & . 00

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    Contd

    Carrier Frequency

    Fc121333 4%

    Sampling Frequency

    Fs215333 4%

    Message signal &

    61 2 78cos958pi81333*8t:Modulated Signal :

    y1 2 ammod961)Fc1)Fs:

    Figure 3: 1stmodulated signal

    Figure 4: 5ndmodulated signal

    Carrier Frequency

    Fc525333 4%Sampling Frequency

    Fs215333 4%

    Message signal &

    61 2 78cos958pi81333*8t:

    Modulated Signal :

    y5 2 ammod961)Fc5)Fs:

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    Contd

    Figure 5 : rdmodulated signal

    Carrier Frequency

    Fc2333 4%

    Sampling Frequency

    Fs215333 4%

    Message signal &

    61 2 78cos958pi81333*8t:Modulated Signal :

    y 2 ammod961)Fc)Fs:

    #"ere ammod96) Fc)Fs: is a matla function #"ic" uses message

    signal 6 to modulate a carrier signal #it" fre;uency Fc 94%: using

    amplitude modulation* Carrier signal and 6 "a(e sampling

    fre;uency Fs94%:*

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    Contd

    Figure 6: Adder

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    Contd

    Figure 7 :Po#er Spectral Density (ia Periodogram 9all

    primary users are present:

    4ere periodogram is an inuilt MA!LA, function

    #"ic" returns po#er spectral density 9psd: of a signal

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    Contd

    Allocated spectrum ands used y

    primary users

    Figure 8 : Po#er spectral Density #"en all

    users are present

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    Contd

    1stand rdprimary users

    are present 5ndprimary user asent

    Spectral "ole left

    Allocation of t"is (acant slot to

    secondary user

    Figure : Po#er spectral Density

    #"en only 5nd user is asent

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    ANFIS !ased data rate predictionsimulation model

    !ime Series "ata :

    !"e data is generated from t"e Mac$ey >lass time delay differential e;uation

    #"ic" is defined y&

    dx (t)/dt = 0.2x (t tau)/ (1+x (t tau) ^10) 0.1x (t)

    ?"en 6 93: 2 1*5 and tau 2 1@) #e "a(e a non-periodic and non-con(ergent time

    series t"at is (ery sensiti(e to initial conditions* 9?e assume 6 9t: 2 3 #"en t 3*:

    Figure 1#: Plot of generation of Mac$ey->lass time series data

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    Contd

    $reprocessing t%e "ata :

    No# #e #ant to uild an ANFIS t"at can predict 6 9t=B: from t"e past

    (alues of t"is time series) t"at is) 6 9t-1:) 6 9t-15:) 6 9t-B:) and 6 9t:* !"erefore

    t"e training data format is

    6 9t 1:) 6 9t 15:) 6 9t B:) 6 9t:) 6 9t=B:E

    From t 2 11 to 111@) #e collect 1333 data pairs of t"e ao(e format* !"e

    first 33 are used for training #"ile t"e ot"ers are used for c"ec$ing* !"e plot

    s"o#s t"e segment of t"e time series #"ere data pairs #ere e6tracted from*

    !"e first 133 data points are ignored to a(oid t"e transient portion of t"e data*

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    Contd

    Figure 11: Plot of preprocessing t"e time series data

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    Contd

    &rror Cur'es :

    !"is plot displays error cur(es for ot" training and c"ec$ing data* Note

    t"at t"e training error is "ig"er t"an t"e c"ec$ing error* !"is p"enomenon

    is not uncommon in ANFIS learning or nonlinear regression in generalG it

    could indicate t"at t"e training process is not close to finis"ed yet*

    Figure 12 :+rror cur(es plot

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    Contd

    Comparison:

    !"is plot s"o#s t"e original time series and t"e one predicted y ANFIS* !"e

    difference is so tiny t"at it is impossile to tell one from anot"er y eye

    inspection* !"at is #"y you proaly see only t"e ANFIS prediction cur(e*

    !"e prediction errors must e (ie#ed on anot"er scale*

    Figure 13 :Plot et#een original time series and t"e one predicted y

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    Contd

    $rediction &rrors o( )*F+S:

    Prediction error of ANFIS is s"o#n "ere* Note t"at t"e scale is aout a

    "undredt" of t"e scale of t"e pre(ious plot*

    Rememer t"at #e "a(e only 13 epoc"s of training in t"is caseG etter

    performance is e6pected if #e "a(e e6tensi(e training*

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    Contd

    Figure 14 & Plot of ANFIS prediction errors

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    Results

    4ence t"e original time data series and t"e one predicted y ANFIS

    are nearly t"e same* !"e difference is so tiny t"at it is impossile to

    tell one from anot"er y eye inspection*

    !"e ANFIS ased tec"ni;ue #as successfully implemented to

    predict data rate* Con(entional ANFIS #or$s etter in accuracy and RMS+ error

    compared to neural net#or$ met"od* ,ut it generated "uge rule

    #"en numer inputs #ere increased and #"ic" could not e "andled

    y simulation en(ironment*