1. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Cooperative Diversity with Multiple- Antenna Nodes in Fading Relay Channels Advisor : Yinman Lee Speaker : Yen-Nan Chen (s96325525)

2. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Outline Introduction Transmission Model Diversity Gain Analysis Simulation Results And Discussion Conclusion

3. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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

4. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Transmission Model Fig. 1. Schematic representation of relay-assisted transmission.

5. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

6. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Transmission Model The received signals at the receive antenna of the relay terminal are given by In matrix notation, we can rewrite (2) as

7. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

8. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

9. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Transmission Model B. Blind AaF relaying The received signal at the destination terminal from the antenna is given by

10. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

11. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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

12. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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

13. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis A. PEP for CSI-assisted AaF relaying The Euclidean distance for AaF relaying can be written as

14. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis denotes the eigenvalue of the codeword difference matrix, and

15. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

16. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

17. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis Scenario 3 (Poor SNR in S → R link): we find PEP as diversity order.

18. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis Scenario 4 (Non-fading R → D link): the diversity order is large and can not be determined by an integer value anymore, i.e., an AWGN-like performance is observed.

19. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis B. PEP for blind AaF relaying the Euclidean distance for blind AaF relaying can be written as

20. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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

21. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

22. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

23. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

24. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis Scenario 4 (Non-fading R → D link): we find PEP as diversity order.

25. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis C. PEP for DaF relaying we can upper bound

26. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

27. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

28. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis Scenario 3 (Poor SNR in S → R link): we find PEP as diversity order. i.e.,non-cooperative.

29. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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 observation for CSI-assisted AaF relaying.

30. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Diversity Gain Analysis TABLE I DIVERSITY ORDERS OF BLIND AaF, CSI-ASSISTED AaF, AND DaF RELAYING.

31. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 2. SER performance of blind AaF relaying.

32. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 3. SER performance of blind AaF relaying assuming M = 2.

33. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 4. SER performance of CSI-assisted AaF relaying.

34. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 5. SER performance of CSI-assisted AaF relaying assuming M = 2.

35. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 6. SER performance of DaF relaying.

36. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Simulation Results And Discussion Fig. 7. SER performance of DaF relaying assuming M = 2.

37. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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

38. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU 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.

39. Tin Studio Established 07. In TAITUNG CITY Communication Signal Processing Lab Graduate Institute of Communication Engineering NCNU Thanks for your attention