Cooperative diversity with multiple antenna nodes in fading relay channels
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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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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)

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Outline

Outline

  • Introduction

  • Transmission Model

  • Diversity Gain Analysis

  • Simulation Results And Discussion

  • Conclusion

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Introduction

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


Transmission model

Transmission Model

Fig. 1. Schematic representation of relay-assisted transmission.

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Transmission model1

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


Transmission model2

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


Transmission model3

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


Transmission model4

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


Transmission model5

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


Transmission model6

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


Diversity gain analysis

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


Diversity gain analysis1

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


Diversity gain analysis2

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


Diversity gain analysis3

Diversity Gain Analysis

denotes the eigenvalue of the codeword difference matrix, and

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Diversity gain analysis4

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


Diversity gain analysis5

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


Diversity gain analysis6

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


Diversity gain analysis7

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


Diversity gain analysis8

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


Diversity gain analysis9

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


Diversity gain analysis10

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


Diversity gain analysis11

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


Diversity gain analysis12

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


Diversity gain analysis13

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


Diversity gain analysis14

Diversity Gain Analysis

C. PEP for DaF relaying

we can upper bound

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Diversity gain analysis15

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


Diversity gain analysis16

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


Diversity gain analysis17

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


Diversity gain analysis18

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


Diversity gain analysis19

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


Simulation results and discussion

Simulation Results And Discussion

Fig. 2. SER performance of blind AaF relaying.

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Simulation results and discussion1

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


Simulation results and discussion2

Simulation Results And Discussion

Fig. 4. SER performance of CSI-assisted AaF relaying.

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Simulation results and discussion3

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


Simulation results and discussion4

Simulation Results And Discussion

Fig. 6. SER performance of DaF relaying.

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Simulation results and discussion5

Simulation Results And Discussion

Fig. 7. SER performance of DaF relaying assuming M = 2.

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


Conclusion

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


References

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


Thanks for your attention

Thanks for your attention

Communication Signal Processing Lab

Graduate Institute of Communication Engineering

NCNU


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