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Cooperative Diversity with Multiple-Antenna Nodes in Fading Relay Channels

Cooperative Diversity with Multiple-Antenna Nodes in Fading Relay Channels. Advisor : Yinman Lee Speaker : Yen-Nan Chen (s96325525). Outline. Introduction Transmission Model Diversity Gain Analysis Simulation Results And Discussion Conclusion. Introduction.

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Cooperative Diversity with Multiple-Antenna Nodes in Fading Relay Channels

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  1. Cooperative Diversity with Multiple-Antenna Nodes in Fading Relay Channels Advisor : Yinman Lee Speaker : Yen-Nan Chen (s96325525) Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  2. Outline • Introduction • Transmission Model • Diversity Gain Analysis • Simulation Results And Discussion • Conclusion Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  3. Introduction • We investigate the performance of a single-relay cooperative scenario where the source, relay and destination terminals are equipped with multiple transmit/receive antennas. A. CSI-assisted AaF relaying B. Blind AaF relaying C. DaF relaying Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  4. Transmission Model Fig. 1. Schematic representation of relay-assisted transmission. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  5. Transmission Model • The received signals during the broadcasting phase at the receive antenna of the destination terminal are given by is the STBC-encoded modulation symbol sent from the transmit antenna in time interval k. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  6. Transmission Model • The received signals at the receive antenna of the relay terminal are given by • In matrix notation, we can rewrite (2) as Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  7. Transmission Model where is the S → R link channel matrix with size K × Q, denotes the codeword vector, and represents the noise vector. • During the relaying phase, the received signals processed at the relay terminal are forwarded to the destination terminal. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  8. Transmission Model A. CSI-assisted AaF relaying • The received signals at the destination terminal are given by denote the STBC-encoded modulation symbols transmitted from the antenna at time slot . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  9. Transmission Model B. Blind AaF relaying • The received signal at the destination terminal from the antenna is given by Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  10. Transmission Model C. DaF relaying • The received signals at the destination terminal can be written as denotes the STBC-encoded modulation symbol transmitted from the relay’s transmit antenna in time slot . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  11. Diversity Gain Analysis • Defining the transmitted codeword vector from the source and the erroneously-decoded codeword vector at the destination terminal, respectively, as and , the conditional PEP is given by Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  12. Diversity Gain Analysis assuming ML decoding. Here, Q(.) is the Gaussian-Q function and denotes the Euclidean distance between and . Applying the standard Chernoff bound to (7), we obtain Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  13. Diversity Gain Analysis A. PEP for CSI-assisted AaF relaying The Euclidean distance for AaF relaying can be written as Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  14. Diversity Gain Analysis denotes the eigenvalue of the codeword difference matrix, and Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  15. Diversity Gain Analysis • Scenario 1 (Balanced S → D and R → D links and high SNR in S → R link ): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  16. Diversity Gain Analysis • Scenario 2 (Balanced S → D and S → R links and high SNR in R → D link): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  17. Diversity Gain Analysis • Scenario 3 (Poor SNR in S → R link): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  18. Diversity Gain Analysis • Scenario 4 (Non-fading R → D link): the diversity order is large and can not be determined byan integer value anymore, i.e., an AWGN-like performanceis observed. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  19. Diversity Gain Analysis B. PEP for blind AaF relaying the Euclidean distance for blind AaF relaying can be written as Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  20. Diversity Gain Analysis • Scenario 1 (Balanced S → D and R → D links and high SNR in S → R link ): we obtain the PEP expressions as Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  21. Diversity Gain Analysis diversity order . • Comparison to (10) further reveals that CSI-assisted AaF and blind AaF relaying yield the same diversity order, provided that . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  22. Diversity Gain Analysis • Scenario 2 (Balanced S → D and S → R links and high SNR in R → D link): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  23. Diversity Gain Analysis • Scenario 3 (Poor SNR in S → R link): we find PEP as it can be easily concluded that the diversity order in (19) is limited to as observed for CSI-assisted case. i.e., direct transmission. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  24. Diversity Gain Analysis • Scenario 4 (Non-fading R → D link): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  25. Diversity Gain Analysis C. PEP for DaF relaying we can upper bound Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  26. Diversity Gain Analysis • Scenario 1 (Balanced S → D and R → D links and high SNR in S → R link ): we find PEP as diversity order . Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  27. Diversity Gain Analysis • Scenario 2 (Balanced S → D and S → R links and high SNR in R → D link): we find PEP as diversity order . i.e.,non-cooperative. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  28. Diversity Gain Analysis • Scenario 3 (Poor SNR in S → R link): we find PEP as diversity order . i.e.,non-cooperative. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  29. Diversity Gain Analysis • Scenario 4 (Non-fading R → D link): we find PEP as diversity order is large and provides an AWGN-like performance similar to our observationfor CSI-assisted AaF relaying. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  30. Diversity Gain Analysis TABLE I DIVERSITY ORDERS OF BLIND AaF, CSI-ASSISTED AaF, AND DaF RELAYING. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  31. Simulation Results And Discussion Fig. 2. SER performance of blind AaF relaying. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  32. Simulation Results And Discussion Fig. 3. SER performance of blind AaF relaying assuming M = 2. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  33. Simulation Results And Discussion Fig. 4. SER performance of CSI-assisted AaF relaying. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  34. Simulation Results And Discussion Fig. 5. SER performance of CSI-assisted AaF relaying assuming M = 2. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  35. Simulation Results And Discussion Fig. 6. SER performance of DaF relaying. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  36. Simulation Results And Discussion Fig. 7. SER performance of DaF relaying assuming M = 2. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  37. Conclusion • In this paper, we have investigated performance of three relaying schemes in a cooperative scenario in which the cooperating nodes are equipped with multiple antennas and operating over frequency-flat Rayleigh fading channels. • We have analyzed the diversity gains of blind AaF, CSI-assisted AaF, and DaF schemes Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  38. References • [1] S. Alamouti, “A simple transmit diversity technique for wireless communications,” IEEE J. Select. Areas Commun., vol. 16, no. 8, pp. 1451–1458, 1998. • [2] A. Sendonaris, E. Erkip, and B. Aazhang, “User cooperation diversity-Part I: System description,” IEEE Trans. Commun., vol. 51, pp. 1927-1938, Nov. 2003. • [3] A. Sendonaris, E. Erkip, and B. Aazhang, “User cooperation diversity-Part II: Implemen taion aspects and performance analysis,” IEEE Trans. Commun., vol. 51, pp. 1939-1948, Nov. 2003. • [4] M. K. Simon and M. S. Alouini, Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis. NewYork: Wiley-Interscience, 2000. Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

  39. Thanks for your attention Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU

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