Wireless four-way relaying using physical layer network coding with nested lattices

Two-way relaying in wireless systems has initiated a large research effort during the past few years. In particular, structured codes and lattices are instrumental for achieving high rates when using Physical Layer Network Coding (PLNC). In an attempt to bring the gains of PLNC beyond the classical traffic pattern of two-way relaying, in this paper we consider a scenario with four-way relaying, where each of the two Mobile Stations (MSs) has a two-way connection to the same Base Station (BS), while each connection is through a dedicated Relay Station (RS). The two RSs are in the range of the BS, but they are at antipodal positions within the cell and do not interfere with each other, i. e. achieve a perfect spatial reuse. We introduce communication schemes for serving the four communication flows in two transmission phases. Each phase consists of combined broadcast and multiple access. The main design ingredients are dirty paper coding nested lattice code codes. We compare the performance with a reference scheme that utilizes Decode-and-Forward (DF). The results show that the usage of structured codes in the four-way relaying scenario can significantly increase the achievable rate region.

[1]  Soung Chang Liew,et al.  > Replace This Line with Your Paper Identification Number (double-click Here to Edit) < 1 , 2022 .

[2]  Uri Erez,et al.  Achieving 1/2 log (1+SNR) on the AWGN channel with lattice encoding and decoding , 2004, IEEE Transactions on Information Theory.

[3]  Sungyeon Kim,et al.  Joint Resource Allocation for Uplink and Downlink in Wireless Networks: A Case Study with User-Level Utility Functions , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[4]  Petar Popovski,et al.  Coordinated Transmissions to Direct and Relayed Users in Wireless Cellular Systems , 2010, 2011 IEEE International Conference on Communications (ICC).

[5]  NamWooseok,et al.  Capacity of the Gaussian two-way relay channel to within 1/2 bit , 2010 .

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

[7]  Sae-Young Chung,et al.  Capacity of the Gaussian Two-Way Relay Channel to Within ${1\over 2}$ Bit , 2009, IEEE Transactions on Information Theory.

[8]  Huaping Liu,et al.  Transmission Schemes for Four-Way Relaying in Wireless Cellular Systems , 2012, ArXiv.

[9]  Sachin Katti,et al.  Embracing wireless interference: analog network coding , 2007, SIGCOMM.

[10]  Sae-Young Chung,et al.  Capacity of the Gaussian Two-way Relay Channel to within 1/2 Bit , 2009, ArXiv.

[11]  Toshiaki Koike-Akino,et al.  Coded Bidirectional Relaying in Wireless Networks , 2009 .

[12]  Shlomo Shamai,et al.  Nested linear/Lattice codes for structured multiterminal binning , 2002, IEEE Trans. Inf. Theory.

[13]  Michael Gastpar,et al.  Reliable Physical Layer Network Coding , 2011, Proceedings of the IEEE.

[14]  Petar Popovski,et al.  Bi-directional Amplification of Throughput in a Wireless Multi-Hop Network , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[15]  Alexander Sprintson,et al.  Joint Physical Layer Coding and Network Coding for Bidirectional Relaying , 2008, IEEE Transactions on Information Theory.

[16]  Petar Popovski,et al.  The Anti-Packets Can Increase the Achievable Throughput of a Wireless Multi-Hop Network , 2006, 2006 IEEE International Conference on Communications.

[17]  H. L. Truong,et al.  The IEEE 802.11e MAC for Quality of Service in Wireless LANs , 2002 .

[18]  Sae-Young Chung,et al.  Nested Lattice Codes for Gaussian Relay Networks With Interference , 2011, IEEE Transactions on Information Theory.

[19]  Alister G. Burr,et al.  Physical-layer Network Coding based Interference Exploitation Strategy for Multi-user Hierarchical Wireless Networks , 2012, EW.

[20]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.