Network Coding Design in Wireless Cooperative Networks

摘要

The objective of this work is to investigate network coding design in wireless cooperativenetworks.Along this line, our work can be divided into following subjects:
　　 (i)Compute-and-forward strategy is one category of network coding in which a relay will decode andforward a linear combination of source messages according to the observed channel coefficients, based on the algebraic structure of lattice codes.The destination will recoverall transmitted messages if enough linear equations are received.For multi-source multirelay wireless cooperative channels, we design in a system level, the compute-and-forwardnetwork coding coefficients by Fincke-Pohst based candidate set searching algorithm andnetwork coding system matrix constructing algorithm, such that by those proposed algorithms, the transmission rate of the multi-source multi-relay system is maximized.Numerical results demonstrate the effectiveness of our proposed algorithms.
　　 (ii)Wc consider the two-way relay channel (TWRC) of wireless cooperative system with compute-and-forward network coding strategy.First a new lemma is proposed as network codessearch criteria for TWRC.Then, instead of exhaustive search, we present an efficientnetwork codes search algorithm based on modified Fincke-Pohst method.Numerical results demonstrate the effectiveness and complexity reduction of our proposed lemma andalgorithm.
　　 (iii)Based on the idea of compute-and-forward, integer forcing (IF) linear receiver architecture is for MIMO system to recover different integer combinations of latticecodewords for further original message detection.In our work, we consider the problem ofIF linear receiver design with respect to the channel conditions.We present practical andefficient algorithms to design the IF coefficient matrix with full rank such that the totalachievable rate is maximized, based on the slowest descent method.Numerical resultsdemvonstrate the effectiveness of our proposed algorithms.
　　 (iv)We consider network coding application in wireless multiple access relay channels with multiple-antenna relays.We investigate several different relay techniques applicable for different system models,including decode-and-forward (DF), space-time decode-and-forward (STDF), analog network coding (ANC), space-time analog network coding (STANC), digital network coding(DNC), etc.We describe in details those different schemes in different system modelswith transmission time slots constraints, and compare the error rate performance.

目录

Acknowledgment

Contents

Abbreviations

List of Figures

List of Tables

Abstract

Chapter 1 Introduction

1．1 Research Background

1．2 Research Contents of Each Chapter

Chapter 2 Compute-and-Forward Network Coding Design over Multi-Source Multi-Relay Channels

2．1 Multi-Source Multi-Relay Channel

2．1．1 System Model

2．1．2 Compute-and-Forward Scheme

2．1．3 Problem Statement

2．2 Proposed Strategy

2．2．1 Searching Candidate Set ΩTmaxm for Each Relay

2．2．2 Constructing Network Coding Matrix A

2．3 Experimental Studies

2．3．1 A Transparent Realization

2．3．2 Simulation Results

2．4 Conclusion

Chapter 3 Efficient Compute-and-Forward Network Codes Search for Two-Way Relay Channel

3．1 System Model

3．2 Optimal Network Codes Search for TWRC

3．2．1 Formulation

3．2．2 Searching Algorithm Derivation

3．2．3 Optimal Network Codes Search Algorithm for TWRC

3．3 Experimental Studies

3．4 Conclusions

Chapter 4 Integer-Forcing Linear Receiver Design with Slowest Descent Method

4．1 System Model

4．2 Integer Forcing Linear Receiver Design

4．2．1 Candidate Set Searching Algorithm with Slowest Descent Method

4．2．2 Constructing IF Coefficient Matrix AIF

4．3 Experimental Studies

4．4 Conclusion

4．5 Appendix

Chapter 5 Network Coding in Wireless Cooperative Networks with Multiple Antenna Relays

5．1 System Model A：Two Sources Without Direct Links

5．1．1 Different Schemes for System Model A

5．1．2 Experimental Studies

5．2 System Model B：Two Sources With Direct Links

5．2．1 Different Schemes for System Model B

5．2．2 Experimental Studies

5．3 System Model C：Three Sources with Direct Links

5．3．1 Different Schemes for System Model C

5．3．2 Experimental Studies

5．4 System Model D：Four Sources with Direct Links

5．4．1 Different Schemes for System Model D

5．4．2 Experimental Studies

5．5 Conclusions

Bibliography

Publications During Postdoc in SJTU

Research Projects and Patents Information