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Performance Optimization of Hybrid
 Fusion Cluster-based Cooperative
       Spectrum Sensing in
     Cognitive Radio Networks

 Presented by :

 Name         : Thong Wing Yew
 Student ID   : 1061103246
 Course       : Telecommunications

 Supervisor   : Mr. Ayman Abd El-Saleh
 Moderator    : Mr. Aaras Y. Kraidi



                                         1
Presentation Outline
   Objectives
   Project Overview & Recap of FYP Part I
   Performance Criteria
   Simulation Outcomes for Neyman-Pearson and
    Minimax Criteria
   Conclusion
   Recommendations




                                                 2
Objectives
   Part I
         Derivation of mathematical model of the soft-hard fusion for cognitive
          radio network using Neyman-Pearson criterion.
         Compare the effects of different channel’s parameters on the
          performance of the system.
         Evaluate the impact of different number of users of the system on the
          performance of the system.

   Part II
         Derivation of mathematical model of the soft-hard fusion for cognitive
          radio network using Minimax criterion.
         Evaluation of Threshold Analysis by simulation and mathematical
          derivation.
         Evaluate the similar parameters and effect of users of the system
          using the framework of Minimax.

                                                                                   3
Project
Overview
           4
Project Overview
    Performance Optimization of Hybrid Fusion Cluster-based
   Cooperative Spectrum Sensing in Cognitive Radio Networks

• Spectrum Under-utilization                        Cognitive Radio
• Detect the presence of licensed                 Spectrum Sensing
PU
• Destructive channel effects          Cooperative Spectrum Sensing
• Data Fusion
   • Soft Decision Fusion (SDF)
                                              Hybrid Fusion Scheme
   • Hard Decision Fusion (HDF)

• Implementing Hybrid Fusion Scheme             Cluster-based CSS
• Evaluate other schemes and
parameters that give the best result       Performance Optimization

                                                                 5
Spectrum Sensing
                           Spectrum Underutilization
                           Some portions of the
                           frequency band are unused
                           most of the time  CR



Hidden Terminal Problem
The accuracy of spectrum
sensing is reduced
 Cooperative SS
Cluster-based Cooperative Spectrum
Sensing
                Cluster 1




                   Cluster 2

                                    Cluster Header
                                         (CH)
                                                     Base Station
Primary User                                            (BS)
    (PU)

                        Cluster 3



               Secondary Users
                    (SU)


                                                                    7
Hard Decision Fusion Vs Soft Decision
Fusion
                                                       Soft Decision Fusion (SDF)


                 0 = PU absent
                                                       Hard Decision Fusion (HDF)
                 1 = PU present
Cluster Header                          Base Station
     (CH)                                  (BS)



          Fusion                  Detection            Overhead Traffic
        Techniques               Performance
       Hard Decision
       Fusion (HDF)
       Soft Decision
       Fusion (SDF)


                                                                                8
Probabilities Definition
 Pdf
                               β         H1


         Pcr                                  Pd



                                                            Energy (T)
                        Pmd        Pfa

   Pd = 1 – Pmd =    P ( T > β | H1 )          Desired
   Pfa = 1 – Pcr =   P ( T > β | H0 )          Undesired
   Pmd = 1 – Pd =    P ( T < β | H1 )          Undesired
   Pcr = 1 – Pfa =   P ( T < β | H0 )          Desired


                                                                         9
Performance Criteria
 Neyman-Pearson
    Criterion
         &
 Minimax Criterion
Neyman-Pearson Vs Minimax

       Neyman-Pearson Criterion (FYP Part I)
        Minimal interference caused to PU
        Maximize Pd for a given Pf
        The threshold is fixed

       Minimax Criterion (FYP Part II)
        Higher chances of interfering PU (more aggressive)
        Minimize the total Pe = Pf + Pm
        The threshold is adjusted dynamically
Neyman-Pearson Criterion
  For SDF




   Pd depends on a fixed value of Pf
   as well as weighting coefficient, ω
Soft Decision Fusion Schemes
 How to search for the best ω in SDF ?

Conventional Schemes                           Proposed Schemes
Equal Gain Combination (EGC)          Normal Deflection Coefficient (NDC)
Weight assigned to M SUs is equally    ∑ H 0 covariance matrix under hypothesis H
                                                                                 0
distributed                              *                                             −1
                                                                                               
                                         ω opt , NDC = ω opt , NDC / || ω opt , NDC ||= ∑ H 0 θ
          ωi =      1
                        M                where    θ i = K PRi | g i | 2 | hi | 2 σ S
                                                                                   2



Maximal-Ratio Combining (MRC) Modified Deflection Coefficient (MDC)
Weight assigned is dependent on the   ∑ H1   covariance matrix under hypothesis H1
PU SNR value at the SU
                                       *                                              
                               SNRi    ω opt ,MDC = ωopt ,MDC / || ω opt ,MDC ||= ∑ H 1 θ
                                                                                    −1

    ||ω|| = 1           ωi =
                               SNRT



                                                                                                   13
The ROC Curve
Receiver operating characteristic (ROC) as performance evaluation for
different simulations.
   Po a ilit o D t cio , Q



                                 1
    r b b y f ee t n




                                 09
                                  .

                                 08
                                  .
                             d




                                 07
                                  .

                                 06
                                  .

                                 05
                                  .

                                 04
                                  .

                                 03
                                  .

                                 02
                                  .
                                                                       E c ll n
                                                                        x ee t
                                 01
                                  .                                    Go
                                                                        o d
                                                                       W rh s
                                                                        o t le s
                                 0
                                  0    02
                                        .        04
                                                  .         06
                                                             .        08
                                                                       .           1
                                            Po a il yo F l eAa m Q
                                             r b b it f as    l r ,
                                                                  f


                       Area of 1 = Perfect Test
                       Area of 0.5 = Worthless Test

                                                                                       14
Minimax Criterion
Assuming Pf = Pm, where Pm= 1-Pd



             β


 Consider Pe = Pf + Pm
Pe Vs SNR Curve




  • Similar to BER Vs SNR plot
  • Best to have the lowest possible Pe for a low SNR value
Simulation
Outcomes
    &
 Results
Parameters To Be Evaluated
     Sensing Bandwidth, B
     Sensing Time of Secondary Users, Ts
     Number of SU per Cluster, M
     Number of Clusters, N
     Probability of Reporting Error, Pe
     Different Combinations of MN
     Different Spectrum Sensing Schemes
     Threhold Analysis for Minimax

                                            18
Sensed Bandwidth, B
                               1

                              0.9

                              0.8
                d




                              0.7
Probability of Detection, Q




                              0.6

                              0.5

                              0.4

                              0.3
                                                                                 8MHz
                              0.2
                                                                                 6MHz
                              0.1                                                4MHz
                                                                                 2MHz
                               0
                                0    0.2        0.4            0.6         0.8          1
                                           Probability of False Alarm, Q
                                                                       f




                                Higher Sensed Bandwidth is preferred but ….                 K = 2.B.Ts


                                                                                                         19
Sensing Time, Ts
                               1

                              0.9

                              0.8
                 d




                              0.7
Probability of Detection, Q




                              0.6

                              0.5

                              0.4

                              0.3
                                                                                     50us
                              0.2
                                                                                     25us
                              0.1                                                    10us
                                                                                     1us
                               0
                                0        0.2        0.4            0.6         0.8          1
                                               Probability of False Alarm, Q
                                                                           f



                                                                                                Ts       Tx

                                    Longer Sensing Time is good but ….                           Access Period

                                                                                                                 20
Number of SU per Cluster, M
                                 1

                                0.9

                                0.8
Probability of Detection, Q d




                                0.7

                                0.6

                                0.5

                                0.4

                                0.3
                                                                                  M=15
                                0.2
                                                                                  M=10
                                0.1                                               M=5
                                                                                  M=1
                                 0
                                  0    0.2        0.4            0.6        0.8          1
                                             Probability of False Alarm Q
                                                                       ,
                                                                        f




                                      Higher M gives better results!

                                                                                             21
Number of Clusters, N
                          1
  P b b i y fDt c o ,Q



                         0.9
   r ai t o e t n




                         0.8
               e i
                  d




                         0.7

                         0.6

                         0.5
       l




                         0.4
    o




                         0.3                                             N1
                                                                          =0
                                                                         N8
                                                                          =
                         0.2
                                                                         N6
                                                                          =
                         0.1                                             N4
                                                                          =
                                                                         N2
                                                                          =
                          0
                           0          0.2       0.4        0.6     0.8     1
                                            P b bi y fF l e l r ,Q
                                             r ai t o a A m
                                              o  l      s     a
                                                                f




                               Higher N gives better results!

                                                                               22
MN Combination (Neyman-Pearson)
                               1

                              0.9

                              0.8
                 d




                              0.7
Probability of Detection, Q




                              0.6

                              0.5

                              0.4                       MN = 15                                  MN = 4
                              0.3
                                                                              M=15, N=1
                              0.2
                                                                              M=5, N=3
                              0.1                                             M=3, N=5
                                                                              M=1, N=15
                               0
                                0      0.2        0.4            0.6         0.8          1
                                             Probability of False Alarm, Q
                                                                         f




                                    When M increases                         More SDF involved     Better Performance



                                                                                                                        23
Probability of Reporting Error, Pe
                                 1

                               0.99

                               0.98
Probability of Detection, Qd




                               0.97

                               0.96

                               0.95

                               0.94

                               0.93
                                                                              Pe = 0
                               0.92
                                                                              P = 0.15
                                                                                  e
                               0.91                                           Pe = 0.3
                                0.9
                                   0   0.2        0.4            0.6        0.8          1
                                             Probability of False Alarm Q
                                                                       ,
                                                                        f




                                                                  CH                         BS
Threshold Analysis (SNR=10dB)
Threshold Analysis (SNR=5dB)
Single Link Sensing Schemes




   • SDF has better performance than HDF
   • Proposed SDF schemes are better than conventional SDF schemes
Double Link Sensing Schemes (Neyman Pearson)
                                   1


                                  0.9


                                  0.8


                                  0.7
                       d
    Probability of Detection, Q




                                  0.6


                                  0.5


                                  0.4


                                  0.3
                                                                                                                              SDF-SDF(NDC-NDC)
                                                                                                                              SDF-HDF(NDC-OR)
                                  0.2                                                                                         SDF-SDF(MRC-MRC)
                                                                                                                              SDF-HDF(MRC-OR)
                                  0.1                                                                                         SDF-SDF(EGC-EGC)
                                                                                                                              SDF-HDF(EGC-OR)
                                                                                                                              HDF-HDF (OR-OR)
                                   0
                                        0   0.1        0.2     0.3       0.4            0.5           0.6   0.7         0.8         0.9          1
                                                                          Probability of False Alarm, Q
                                                                                                       f



                                            Spectrum                          SDF                                 SDF
                                            Sensing                           HDF                                 HDF

 Primary User (PU)                                Secondary Users (SU)                    Cluster Header (CH)                  Base Station (BS)
Double Link Sensing Schemes (Minimax)
Conclusion
   Cognitive radio is a way to maximize spectrum
    utilization
   Hard Fusion – Less Overhead but Poorer Performance
    Soft Fusion - Better Performance but Higher Overhead
   Employing Soft-Hard Fusion to get the best of both
    methods (Hybrid Fusion)
   Higher Sensing Time and Bandwidth yields better
    detection performance
   The proposed SDF schemes (NDC & MDC) outperform
    the conventional SDF ones (EGC & MRC)

                                                           30
Recommendation for Future Works
•   Explore the possibilities and effect of introducing the
    weighting coefficients at different stages or links of the
    network.

•   Determine the best number of SU per cluster that gives
    the best detection performance.

•   Efficient way of selecting CH, either from an ordinary SU
    or a dedicated BS.

•   Develop an algorithm that minimize the sensing time of
    a SU.

                                                                 31
Thank You

 Q & A Session

                 32

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Performance optimization of hybrid fusion cluster based cooperative spectrum sensing in cr ns

  • 1. Performance Optimization of Hybrid Fusion Cluster-based Cooperative Spectrum Sensing in Cognitive Radio Networks Presented by : Name : Thong Wing Yew Student ID : 1061103246 Course : Telecommunications Supervisor : Mr. Ayman Abd El-Saleh Moderator : Mr. Aaras Y. Kraidi 1
  • 2. Presentation Outline  Objectives  Project Overview & Recap of FYP Part I  Performance Criteria  Simulation Outcomes for Neyman-Pearson and Minimax Criteria  Conclusion  Recommendations 2
  • 3. Objectives  Part I  Derivation of mathematical model of the soft-hard fusion for cognitive radio network using Neyman-Pearson criterion.  Compare the effects of different channel’s parameters on the performance of the system.  Evaluate the impact of different number of users of the system on the performance of the system.  Part II  Derivation of mathematical model of the soft-hard fusion for cognitive radio network using Minimax criterion.  Evaluation of Threshold Analysis by simulation and mathematical derivation.  Evaluate the similar parameters and effect of users of the system using the framework of Minimax. 3
  • 5. Project Overview Performance Optimization of Hybrid Fusion Cluster-based Cooperative Spectrum Sensing in Cognitive Radio Networks • Spectrum Under-utilization Cognitive Radio • Detect the presence of licensed Spectrum Sensing PU • Destructive channel effects Cooperative Spectrum Sensing • Data Fusion • Soft Decision Fusion (SDF) Hybrid Fusion Scheme • Hard Decision Fusion (HDF) • Implementing Hybrid Fusion Scheme Cluster-based CSS • Evaluate other schemes and parameters that give the best result Performance Optimization 5
  • 6. Spectrum Sensing Spectrum Underutilization Some portions of the frequency band are unused most of the time  CR Hidden Terminal Problem The accuracy of spectrum sensing is reduced  Cooperative SS
  • 7. Cluster-based Cooperative Spectrum Sensing Cluster 1 Cluster 2 Cluster Header (CH) Base Station Primary User (BS) (PU) Cluster 3 Secondary Users (SU) 7
  • 8. Hard Decision Fusion Vs Soft Decision Fusion Soft Decision Fusion (SDF) 0 = PU absent Hard Decision Fusion (HDF) 1 = PU present Cluster Header Base Station (CH) (BS) Fusion Detection Overhead Traffic Techniques Performance Hard Decision Fusion (HDF) Soft Decision Fusion (SDF) 8
  • 9. Probabilities Definition Pdf β H1 Pcr Pd Energy (T) Pmd Pfa Pd = 1 – Pmd = P ( T > β | H1 )  Desired Pfa = 1 – Pcr = P ( T > β | H0 )  Undesired Pmd = 1 – Pd = P ( T < β | H1 )  Undesired Pcr = 1 – Pfa = P ( T < β | H0 )  Desired 9
  • 10. Performance Criteria Neyman-Pearson Criterion & Minimax Criterion
  • 11. Neyman-Pearson Vs Minimax  Neyman-Pearson Criterion (FYP Part I)  Minimal interference caused to PU  Maximize Pd for a given Pf  The threshold is fixed  Minimax Criterion (FYP Part II)  Higher chances of interfering PU (more aggressive)  Minimize the total Pe = Pf + Pm  The threshold is adjusted dynamically
  • 12. Neyman-Pearson Criterion For SDF Pd depends on a fixed value of Pf as well as weighting coefficient, ω
  • 13. Soft Decision Fusion Schemes How to search for the best ω in SDF ? Conventional Schemes Proposed Schemes Equal Gain Combination (EGC) Normal Deflection Coefficient (NDC) Weight assigned to M SUs is equally ∑ H 0 covariance matrix under hypothesis H 0 distributed *   −1  ω opt , NDC = ω opt , NDC / || ω opt , NDC ||= ∑ H 0 θ ωi = 1 M where θ i = K PRi | g i | 2 | hi | 2 σ S 2 Maximal-Ratio Combining (MRC) Modified Deflection Coefficient (MDC) Weight assigned is dependent on the ∑ H1 covariance matrix under hypothesis H1 PU SNR value at the SU *    SNRi ω opt ,MDC = ωopt ,MDC / || ω opt ,MDC ||= ∑ H 1 θ −1 ||ω|| = 1 ωi = SNRT 13
  • 14. The ROC Curve Receiver operating characteristic (ROC) as performance evaluation for different simulations. Po a ilit o D t cio , Q 1 r b b y f ee t n 09 . 08 . d 07 . 06 . 05 . 04 . 03 . 02 . E c ll n x ee t 01 . Go o d W rh s o t le s 0 0 02 . 04 . 06 . 08 . 1 Po a il yo F l eAa m Q r b b it f as l r , f Area of 1 = Perfect Test Area of 0.5 = Worthless Test 14
  • 15. Minimax Criterion Assuming Pf = Pm, where Pm= 1-Pd β Consider Pe = Pf + Pm
  • 16. Pe Vs SNR Curve • Similar to BER Vs SNR plot • Best to have the lowest possible Pe for a low SNR value
  • 17. Simulation Outcomes & Results
  • 18. Parameters To Be Evaluated  Sensing Bandwidth, B  Sensing Time of Secondary Users, Ts  Number of SU per Cluster, M  Number of Clusters, N  Probability of Reporting Error, Pe  Different Combinations of MN  Different Spectrum Sensing Schemes  Threhold Analysis for Minimax 18
  • 19. Sensed Bandwidth, B 1 0.9 0.8 d 0.7 Probability of Detection, Q 0.6 0.5 0.4 0.3 8MHz 0.2 6MHz 0.1 4MHz 2MHz 0 0 0.2 0.4 0.6 0.8 1 Probability of False Alarm, Q f Higher Sensed Bandwidth is preferred but …. K = 2.B.Ts 19
  • 20. Sensing Time, Ts 1 0.9 0.8 d 0.7 Probability of Detection, Q 0.6 0.5 0.4 0.3 50us 0.2 25us 0.1 10us 1us 0 0 0.2 0.4 0.6 0.8 1 Probability of False Alarm, Q f Ts Tx Longer Sensing Time is good but …. Access Period 20
  • 21. Number of SU per Cluster, M 1 0.9 0.8 Probability of Detection, Q d 0.7 0.6 0.5 0.4 0.3 M=15 0.2 M=10 0.1 M=5 M=1 0 0 0.2 0.4 0.6 0.8 1 Probability of False Alarm Q , f Higher M gives better results! 21
  • 22. Number of Clusters, N 1 P b b i y fDt c o ,Q 0.9 r ai t o e t n 0.8 e i d 0.7 0.6 0.5 l 0.4 o 0.3 N1 =0 N8 = 0.2 N6 = 0.1 N4 = N2 = 0 0 0.2 0.4 0.6 0.8 1 P b bi y fF l e l r ,Q r ai t o a A m o l s a f Higher N gives better results! 22
  • 23. MN Combination (Neyman-Pearson) 1 0.9 0.8 d 0.7 Probability of Detection, Q 0.6 0.5 0.4 MN = 15 MN = 4 0.3 M=15, N=1 0.2 M=5, N=3 0.1 M=3, N=5 M=1, N=15 0 0 0.2 0.4 0.6 0.8 1 Probability of False Alarm, Q f When M increases More SDF involved Better Performance 23
  • 24. Probability of Reporting Error, Pe 1 0.99 0.98 Probability of Detection, Qd 0.97 0.96 0.95 0.94 0.93 Pe = 0 0.92 P = 0.15 e 0.91 Pe = 0.3 0.9 0 0.2 0.4 0.6 0.8 1 Probability of False Alarm Q , f CH BS
  • 27. Single Link Sensing Schemes • SDF has better performance than HDF • Proposed SDF schemes are better than conventional SDF schemes
  • 28. Double Link Sensing Schemes (Neyman Pearson) 1 0.9 0.8 0.7 d Probability of Detection, Q 0.6 0.5 0.4 0.3 SDF-SDF(NDC-NDC) SDF-HDF(NDC-OR) 0.2 SDF-SDF(MRC-MRC) SDF-HDF(MRC-OR) 0.1 SDF-SDF(EGC-EGC) SDF-HDF(EGC-OR) HDF-HDF (OR-OR) 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Probability of False Alarm, Q f Spectrum SDF SDF Sensing HDF HDF Primary User (PU) Secondary Users (SU) Cluster Header (CH) Base Station (BS)
  • 29. Double Link Sensing Schemes (Minimax)
  • 30. Conclusion  Cognitive radio is a way to maximize spectrum utilization  Hard Fusion – Less Overhead but Poorer Performance Soft Fusion - Better Performance but Higher Overhead  Employing Soft-Hard Fusion to get the best of both methods (Hybrid Fusion)  Higher Sensing Time and Bandwidth yields better detection performance  The proposed SDF schemes (NDC & MDC) outperform the conventional SDF ones (EGC & MRC) 30
  • 31. Recommendation for Future Works • Explore the possibilities and effect of introducing the weighting coefficients at different stages or links of the network. • Determine the best number of SU per cluster that gives the best detection performance. • Efficient way of selecting CH, either from an ordinary SU or a dedicated BS. • Develop an algorithm that minimize the sensing time of a SU. 31
  • 32. Thank You Q & A Session 32