Présentation du stage ouvrier à la CFTP

Stage ouvrier à la Compagnie Franco-Tunisienne des Pétroles effectué par l'élève ingénieur à l'Ecole Polytechnique de Tunisie Akram BEDOUI.

Transcript

1. Republic of Tunisia Ministry of High Education, Scientific Research and Technology University of Carthage Tunisia Polytechnic School Option: SIGNALS AND SYSTEMS (SISY) Graduation Project Presentation Multinode Cooperative Communications with Generalized Combining Schemes Carried out by : Amir HADJTAIEB Supervised by: Dr. Mohamed-Slim ALOUINI Dr. Hatem BOUJEMAA Dr. Ferkan YILMAZ Vis-` a-vis: Dr. Issam MABROUKI June 27, 2012
2. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Introduction Figure : Services evolution over time Amir HADJTAIEB - Graduation Project Presentation 2 / 29
3. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Outline 1 Multinode Relaying System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case 2 Incremental Relaying Protocol description Symbol Error Rate Average number of time slots per burst 3 Joint Adaptive modulation and incremental Relaying Protocol description Symbol Error Rate 4 Summary Amir HADJTAIEB - Graduation Project Presentation 3 / 29
4. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case Outline 1 Multinode Relaying System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case 2 Incremental Relaying Protocol description Symbol Error Rate Average number of time slots per burst 3 Joint Adaptive modulation and incremental Relaying Protocol description Symbol Error Rate 4 Summary Amir HADJTAIEB - Graduation Project Presentation 4 / 29
5. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case System Model hS,R hR,D hS,D Source Destination Relay Figure : System model Slow and frequency-flat fading channel with additive white Gaussian noise No inter relay interference is considered hS,D , hS,R and hR,D are channel fading coefficients. Amir HADJTAIEB - Graduation Project Presentation 5 / 29
6. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case Protocol description · Reception …... · Forwarding …... S R1 Rk RN D Rk-1 Rk+1 …... …... S R1 Rk RN D Rk-1 Rk+1 Figure : Protocol description in phase k Arbitrary N-relay wireless network Combining scheme: Maximum Ratio Combining(MRC) or Generalized Selection Combining(GSC) Cooperation strategy: selective decode and forward Amir HADJTAIEB - Graduation Project Presentation 6 / 29
7. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case General expression of SER Simplifying assumption Relay . . . . Relay 1 Relay 2 Relay3 Relay N Network state SN Bx,N = 1 1 0 1 Forwards : 1 Remains idle: 0 Amir HADJTAIEB - Graduation Project Presentation 7 / 29
8. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case General expression of SER Simplifying assumption Relay . . . . Relay 1 Relay 2 Relay3 Relay N Network state SN Bx,N = 1 1 0 1 Forwards : 1 Remains idle: 0 Probability that the network is in a given state Pr(SN = Bi,N ) = Pr SN [1] = Bi,N [1] × Pr SN [2] = Bi,N [2] SN [1] = Bi,N [1] × . . . × Pr SN [N] = Bi,N [N] SN [N − 1] = Bi,N [N − 1], ..., SN [1] = Bi,N [1] Amir HADJTAIEB - Graduation Project Presentation 7 / 29
9. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case General expression of SER Probability that the kth relay is in a given state Pk,i Pr(SN [k] = Bi,N [k] SN [k − 1] = Bi,N [k − 1], ..., SN [1] = Bi,N [1]) = Ψ(SNRRk ), if Bi,N [k]=0 1 − Ψ(SNRRk ), if Bi,N [k]=1 where ΨP SK (γ) 1 π (M−1)π/M 0 exp − bP SK γ sin2(θ) dθ Amir HADJTAIEB - Graduation Project Presentation 8 / 29
10. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case General expression of SER Probability that the kth relay is in a given state Pk,i Pr(SN [k] = Bi,N [k] SN [k − 1] = Bi,N [k − 1], ..., SN [1] = Bi,N [1]) = Ψ(SNRRk ), if Bi,N [k]=0 1 − Ψ(SNRRk ), if Bi,N [k]=1 where ΨP SK (γ) 1 π (M−1)π/M 0 exp − bP SK γ sin2(θ) dθ Instantaneous SER Pe/CSI = 2N −1 i=0 Pr(e SN = Bi,N )Pr(SN = Bi,N ) Pr(e SN = Bi,N ) = Ψ(SNRd ) Pr(SN = Bi,N ) = N k=1 Pk,i Amir HADJTAIEB - Graduation Project Presentation 8 / 29
11. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case General expression of SER Average SER PSER = 2N −1 i=0 ECSI Ψ(SNRd ) N k=1 ECSI Pk,i where ECSI is expectation operator Amir HADJTAIEB - Graduation Project Presentation 9 / 29
12. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case Results for Rayleigh fading channel 0 5 10 15 20 25 10−10 10−8 10−6 10−4 10−2 100 P/N 0 BER N = 3 N = 2 N = 1 N = 0 Figure : BER versus SNR for different number of relays Amir HADJTAIEB - Graduation Project Presentation 10 / 29
13. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case SER expression SER of one relay Ps (E) = L i1,i2,...,iL=1 i1=i2=,...=iL 1 π (M−1π/M) 0 L l=1 ¯ γil −1 l k=1 ¯ γik −1 × sin2 θ gMP SK min(l, Lc ) l k=1 ¯ γik −1 −1 + sin2 θ dθ Amir HADJTAIEB - Graduation Project Presentation 11 / 29
14. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case SER expression SER of one relay Ps (E) = L i1,i2,...,iL=1 i1=i2=,...=iL 1 π (M−1π/M) 0 L l=1 ¯ γil −1 l k=1 ¯ γik −1 × sin2 θ gMP SK min(l, Lc ) l k=1 ¯ γik −1 −1 + sin2 θ dθ SER at destination PGSC (E) = 2N −1 i=0 PD (E SN = Bi,N ) N k=1 ˜ Pk,i where ˜ Pk,i = PRk (E), if Bi,N [k]=0 1 − PRk (E), if Bi,N [k]=1 Amir HADJTAIEB - Graduation Project Presentation 11 / 29
15. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case Results for Rayleigh fading channel 0 5 10 15 20 25 10−12 10−10 10−8 10−6 10−4 10−2 100 Average SNR per Bit of first path[dB] BER L c = 1 L c = 2 L c = 3 Figure : BER versus SNR of first path for different values of Lc, L = 3 and δ = 0.2 ¯ γl = ¯ γ1 exp(−δ(l − 1)), l = 1,..., L, where δ is the power decay factor. Amir HADJTAIEB - Graduation Project Presentation 12 / 29
16. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Outline 1 Multinode Relaying System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case 2 Incremental Relaying Protocol description Symbol Error Rate Average number of time slots per burst 3 Joint Adaptive modulation and incremental Relaying Protocol description Symbol Error Rate 4 Summary Amir HADJTAIEB - Graduation Project Presentation 13 / 29
17. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Protocol description Phase 0 …... …... S R1 Rk RN D Rk-1 Rk+1 Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 14 / 29
18. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Protocol description After k phases …... …... S R1 Rk RN D Rk-1 Rk+1 Sent in phase 0 Sent in phase 1 Sent in phase (k-1) Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 15 / 29
19. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Protocol description if γSD + ∑ k-1 γRiD < ζ …... …... S R1 Rk RN D Rk-1 Rk+1 Feedback Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 16 / 29
20. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Protocol description Phase k …... …... S R1 Rk RN D Rk-1 Rk+1 Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 17 / 29
21. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Protocol description phase N …... …... S R1 Rk RN D Rk-1 Rk+1 Sent in phase 0 Sent in phase 1 Sent in phase (k-1) Sent in phase (k+1) Sent in phase N Sent in phase k Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 18 / 29
22. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Instantaneous SER Instantaneous SER Pe/CSI = N l=0 2l−1 i=0 Pr(e Sl = Bi,l , phase = l) × Pr(Sl = Bi,l phase = l) × Pr(phase = l) Amir HADJTAIEB - Graduation Project Presentation 19 / 29
23. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Instantaneous SER Instantaneous SER Pe/CSI = N l=0 2l−1 i=0 Pr(e Sl = Bi,l , phase = l) × Pr(Sl = Bi,l phase = l) × Pr(phase = l) Pr(e Sl = Bi,l , phase = l) = Ψ(SNRd ) Pr(Sl = Bi,l phase = l) = N k=1 Pk,i Pr(phase = l) =      Pr(γSD > ξ), if phase=0 Pr(γl > ξ , γl−1 < ξ), if phase=1,...,(N-1) Pr(γN−1 < ξ), if phase=N Amir HADJTAIEB - Graduation Project Presentation 19 / 29
24. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Average SER PSER =Pr(γSD > ξ)E1(Ψ(SNRd )) + N−1 l=1 2l−1 i=0 Pr(γl > ξ , γl−1 < ξ) k j=1 E∗(Pl j,i )El(Ψ(SNRd )) + 2N −1 i=0 Pr(γN−1 < ξ) N j=1 E∗(PN j,i )EN (Ψ(SNRd )) where : E0(Ψ(γ)) = ∞ 0 Ψ(γ)fγSD (γ γSD > ξ)dγ El(Ψ(γ)) = ∞ ξ Ψ(γ)fγl (γ γl−1 < ξ)dγ , 1 ≤ l ≤ N − 1 EN (Ψ(γ)) = ∞ 0 Ψ(γ)fγN (γ γN−1 < ξ)dγ E∗(Pl k,j ) = ∞ 0 Pl k,j fγk−1 (γ)dγ Amir HADJTAIEB - Graduation Project Presentation 20 / 29
25. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Results for Rayleigh fading channel 2 4 6 8 10 12 14 16 10−5 10−4 10−3 10−2 10−1 100 SNR[dB] BER exact BER simulated BER ξ = 6 dB ξ = ∞ ξ = 4.7 dB ξ = 3dB ξ = −∞ Figure : BER versus SNR in incremental relaying for different threshold values. The number of relays equals to 3 and the modulation scheme is BPSK Amir HADJTAIEB - Graduation Project Presentation 21 / 29
26. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst General expression General expression Np = N+1 l=1 2l−1−1 i=0 l Pr[Np = l Sl−1 = Bi,l−1 ] l−1 k=1 E∗(Pl k,i ) where : Pl k,i = Pr(Sl−1 = Bi,l−1 phase = l) Pr[Np = 1] = Pr(γSD > ξ) Pr[Np = l Sl−1 = Bi,l−1 ] = Pr(γl−1 > ξ, γl−2 < ξ) , 2 ≤ l ≤ N Pr[Np = N + 1 SN = Bi,N ] = Pr(γN−1 < ξ) Amir HADJTAIEB - Graduation Project Presentation 22 / 29
27. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Results for Rayleigh fading channel 2 4 6 8 10 12 14 16 1 1.5 2 2.5 3 3.5 4 SNR[dB] Average number of time slots exact simulation ξ = 3 dB ξ = 6 dB ξ = 10 dB Figure : Average number of time slots per burst versus SNR for different threshold values. The number of relays equals to 3 and the modulation scheme is BPSK Amir HADJTAIEB - Graduation Project Presentation 23 / 29
28. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Average number of time slots per burst Results for Rayleigh fading channel 0 1 2 3 4 5 6 7 8 9 10 10−3 10−2 10−1 BER 0 1 2 3 4 5 6 7 8 9 10 1 1.5 2 2.5 3 3.5 ξ[dB] Average number of time slots Figure : BER and average number of time slots per burst versus ξ for an SNR fixed to 10 dB. The number of relays equals to 3 and the modulation scheme is BPSK Amir HADJTAIEB - Graduation Project Presentation 24 / 29
29. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Outline 1 Multinode Relaying System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case 2 Incremental Relaying Protocol description Symbol Error Rate Average number of time slots per burst 3 Joint Adaptive modulation and incremental Relaying Protocol description Symbol Error Rate 4 Summary Amir HADJTAIEB - Graduation Project Presentation 25 / 29
30. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Protocol description Highest modulation (64-QAM) ζ1 Lower modulation (16-QAM) ζ2 Lowest modulation (4-QAM) ζ3 Figure : Protocol description Amir HADJTAIEB - Graduation Project Presentation 26 / 29
31. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Protocol description Symbol Error Rate Results for Rayleigh fading channel 0 5 10 15 20 25 10−4 10−3 10−2 10−1 100 SNR[dB] BER Figure : BER of incremental relaying(blue) for ξ = 25dB and joint adaptive modulation and incremental relaying(red) for ξ = [25dB 4dB 1.6dB] versus SNR. Amir HADJTAIEB - Graduation Project Presentation 27 / 29
32. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Outline 1 Multinode Relaying System model and protocol description Symbol Error Rate: MRC case Symbol Error Rate: GSC case 2 Incremental Relaying Protocol description Symbol Error Rate Average number of time slots per burst 3 Joint Adaptive modulation and incremental Relaying Protocol description Symbol Error Rate 4 Summary Amir HADJTAIEB - Graduation Project Presentation 28 / 29
33. Multinode Relaying Incremental Relaying Joint Adaptive modulation and incremental Relaying Summary Summary Summary Study of different relaying techniques with different strategies Performance analysis of multinode incremental relaying Effect of adaptive modulation on performance of multinode incremental relaying Extensions Use of other combining schemes in incremental relaying protocol Performance analysis of amplify and forward incremental relaying protocol. Amir HADJTAIEB - Graduation Project Presentation 29 / 29