Polar Coded Modulation Operated With Physical Network Coding

This letter proposes a polarization mapping (PM) for polar coded modulation with physical network coding (PM-PNC) over two-way relay channels (TWRC). The achievable information rates (AIRs) of the mapped bits within a XOR symbol from bit-wise XOR of two user symbols are significantly different, since the users adopt non-uniform PAM modulation to avoid mapping ambiguity. In the polar-coded PM-PNC, the original channels associated with the split information bit channel are mapped to the XOR bit stream with a larger AIR. In this way, the achieved rate of the split information channels can be maximized and is illustrated in distribution of split bit channel AIRs. Simulation results show that the proposed PM-PNC can achieve significant performance gains of more than 0.5 dB as compared to the bit-interleaved coded modulation (BICM) and multilevel coded (MLC) PNC systems over Gaussian and block fading channels.

[1]  Peter Trifonov,et al.  Efficient Design and Decoding of Polar Codes , 2012, IEEE Transactions on Communications.

[2]  Alexander Vardy,et al.  List decoding of polar codes , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[3]  Lin Wang,et al.  Decoding Generalized Joint Channel Coding and Physical Network Coding in the LLR Domain , 2013, IEEE Signal Processing Letters.

[4]  Stephan Pfletschinger.  A practical physical-layer network coding scheme for the uplink of the two-way relay channel , 2011, 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[5]  Yuping Zhao,et al.  A Mapping Shortening Algorithm for Polar Codes , 2019, IEEE Access.

[6]  Erdal Arikan,et al.  On the Origin of Polar Coding , 2015, IEEE Journal on Selected Areas in Communications.

[7]  Toshiyuki Tanaka,et al.  Performance of polar codes with the construction using density evolution , 2009, IEEE Communications Letters.

[8]  Yan Chen,et al.  On the puncturing patterns for punctured polar codes , 2014, 2014 IEEE International Symposium on Information Theory.

[9]  Erdal Arikan,et al.  Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels , 2008, IEEE Transactions on Information Theory.

[10]  Andreas Schenk,et al.  Polar-Coded Modulation , 2013, IEEE Transactions on Communications.

[11]  Yi Fang,et al.  Polar-Coded Physical Layer Network Coding Over Two-Way Relay Channels , 2019, IEEE Communications Letters.

[12]  Kai Chen,et al.  CRC-Aided Decoding of Polar Codes , 2012, IEEE Communications Letters.

[13]  Shahid Mumtaz,et al.  Physical-Layer Network Coding: An Efficient Technique for Wireless Communications , 2019, IEEE Network.

[14]  Joohwan Chun,et al.  Modified High-Order PAMs for Binary Coded Physical-Layer Network Coding , 2010, IEEE Communications Letters.

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

[16]  Kai Chen,et al.  Polar Coded Modulation with Optimal Constellation Labeling , 2013, ArXiv.

[17]  Jungwon Lee,et al.  Achieving the Uniform Rate Region of General Multiple Access Channels by Polar Coding , 2013, IEEE Transactions on Communications.