Non-Coherent Near-Capacity Network Coding for Cooperative Multi-User Communications

Near-capacity Non-coherent Cooperative Network-coding aided Multi-user (NNCNM) systems are designed with the aid of Extrinsic Information Transfer (EXIT) charts for the sake of approaching the Differential Discrete-input Continuous-output Memoryless Channel's (D-DCMC) system capacity1. The upper and lower Frame Error Ratio (FER) performance bounds are derived for aiding our network coding design. The outage capacity of the D-DCMC channel is also calculated and used for computing the best-case performance bounds of both the corresponding single-link scheme and of the proposed NNCNM system. Moreover, a new technique referred to as the Pragmatic Algebraic Linear Equation Method (PALEM) was proposed for determining the exact number of information sources that may be recovered from the composite NNCNM stream, which constitutes a lower-complexity evaluation of the attainable FER performance of the NNCNM systems without resorting to high-complexity Monte-Carlo simulations. The NNCNM systems advocated are capable of operating within 0.3-0.5 dB from the corresponding D-DCMC capacity. A joint treatment of channel and network coding is considered in our system2. The design principles presented in this contribution may be extended to a vast range of NNCNM based systems using arbitrary channel coding schemes.

[1]  Jörg Widmer,et al.  Toward network coding-based protocols for data broadcasting in wireless Ad Hoc networks , 2010, IEEE Transactions on Wireless Communications.

[2]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[3]  Ming Xiao,et al.  Multiple-User Cooperative Communications Based on Linear Network Coding , 2010, IEEE Transactions on Communications.

[4]  Branka Vucetic,et al.  Multiuser Cooperative Diversity Through Network Coding Based on Classical Coding Theory , 2010, IEEE Transactions on Signal Processing.

[5]  Michael Tüchler,et al.  Design of Serially Concatenated Systems Depending on the Block Length , 2004, IEEE Trans. Commun..

[6]  Lie-Liang Yang,et al.  Luby Transform Coding Aided Bit-Interleaved Coded Modulation for the Wireless Internet , 2007, 2007 IEEE 66th Vehicular Technology Conference.

[7]  V. Tarokh,et al.  Design and analysis of collaborative diversity protocols for wireless sensor networks , 2004, IEEE 60th Vehicular Technology Conference, 2004. VTC2004-Fall. 2004.

[8]  Lajos Hanzo,et al.  Near-Capacity Non-Coherent Network-Coding Aided Scheme for Cooperative Multi-User Communications , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

[9]  Rudolf Ahlswede,et al.  Network information flow , 2000, IEEE Trans. Inf. Theory.

[10]  Michael Tuchler,et al.  EXIT charts of irregular codes , 2002 .

[11]  Candice King,et al.  Fundamentals of wireless communications , 2013, 2013 IEEE Rural Electric Power Conference (REPC).

[12]  Ming Xiao,et al.  Design of Network Codes for Multiple-User Multiple-Relay Wireless Networks , 2009, IEEE Transactions on Communications.

[13]  Andrea J. Goldsmith,et al.  Adaptive coded modulation for fading channels , 1997, Proceedings of ICC'97 - International Conference on Communications.

[14]  Stephan ten Brink,et al.  Convergence behavior of iteratively decoded parallel concatenated codes , 2001, IEEE Trans. Commun..

[15]  T. H. Liew,et al.  Turbo Coding, Turbo Equalisation and Space-Time Coding: EXIT-Chart-Aided Near-Capacity Designs for Wireless Channels , 2011 .

[16]  Lajos Hanzo,et al.  Reduced-complexity near-capacity downlink iteratively decoded generalized multi-layer space-time coding using irregular convolutional codes , 2010, IEEE Transactions on Wireless Communications.

[17]  Onurcan Iscan,et al.  Iterative Network and Channel Decoding for the Relay Channel with Multiple Sources , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

[18]  Stephan ten Brink,et al.  Extrinsic information transfer functions: model and erasure channel properties , 2004, IEEE Transactions on Information Theory.

[19]  John Cocke,et al.  Optimal decoding of linear codes for minimizing symbol error rate (Corresp.) , 1974, IEEE Trans. Inf. Theory.

[20]  Branka Vucetic,et al.  Adaptive Distributed Network-Channel Coding , 2011, IEEE Transactions on Wireless Communications.

[21]  M. Skoglund,et al.  Design of Network Codes for Multiple-User Multiple-Relay Wireless Networks , 2012, IEEE Trans. Commun..

[22]  P. Ho,et al.  Error performance of multiple symbol differential detection of PSK signals transmitted over correlated Rayleigh fading channels , 1991, ICC 91 International Conference on Communications Conference Record.

[23]  Lajos Hanzo,et al.  Adaptive Turbo Trellis Coded Modulation Aided Distributed Space-Time Trellis Coding for Cooperative Communications , 2010, 2010 IEEE 71st Vehicular Technology Conference.

[24]  Lie-Liang Yang,et al.  Iteratively Decoded Variable Length Space-Time Coded Modulation: Code Construction and Convergence Analysis , 2007, IEEE Transactions on Wireless Communications.

[25]  Lutz H.-J. Lampe,et al.  "Turbo DPSK" using soft multiple-symbol differential sphere decoding , 2006, IEEE Transactions on Information Theory.

[26]  Lajos Hanzo,et al.  Performance Bounds of Network Coding Aided Cooperative Multiuser Systems , 2011, IEEE Signal Processing Letters.

[27]  Li Wang,et al.  Multiple-Symbol Differential Sphere Detection Aided Differential Space-Time Block Codes Using QAM Constellations , 2011, IEEE Signal Processing Letters.

[28]  Lajos Hanzo,et al.  Near-Capacity Irregular Convolutional Coded Cooperative Differential Linear Dispersion Codes Using Multiple-Symbol Differential Detection , 2011, IEEE Signal Processing Letters.

[29]  Lajos Hanzo,et al.  Upper-bound performance of a wide-band adaptive modem , 2000, IEEE Trans. Commun..

[30]  Lajos Hanzo,et al.  A Systematic Luby Transform Coded V-BLAST System , 2008, 2008 IEEE International Conference on Communications.

[31]  Branka Vucetic,et al.  Generalized distributed network coding based on nonbinary linear block codes for multi-user cooperative communications , 2010, 2010 IEEE International Symposium on Information Theory.

[32]  Ming Xiao,et al.  M-user cooperative wireless communications based on nonbinary network codes , 2009, 2009 IEEE Information Theory Workshop on Networking and Information Theory.

[33]  Ming Xiao,et al.  Optimal Decoding and Performance Analysis of a Noisy Channel Network with Network Coding , 2009, IEEE Transactions on Communications.

[34]  Gene H. Golub,et al.  Matrix computations , 1983 .