Bit-interleaved polar-coded OFDM for low-latency M2M wireless communications

Machine-to-machine (M2M) communications play an important role for applications that involve connections between a massive number of heterogeneous devices in home and industrial networks. For M2M networks, realizing low latency and high reliability is of great importance. In this paper, we show the great potential of polar-coded orthogonal frequency-division multiplexing (OFDM) to fulfill those requirements. We show that polar codes with list decoding plus cyclic redundancy check (CRC) can outperform state-of-the-art low-density parity-check (LDPC) codes at short block lengths. In addition, we introduce an efficient interleaver and constellation shaping for polar-coded high-order modulations, where a coded sequence is carefully mapped across subcarriers and modulation bits to exploit non-uniform reliability for higher diversity gains. Through computer simulations, we demonstrate that a significant gain greater than 2 dB can be achieved by quadratic polynomial permutation (QPP) interleaver with optimized parameters in comparison to the conventional random interleaver for high-order 256-ary quadrature-amplitude modulation (QAM) OFDM transmission in frequency-selective wireless channels.

[1]  M. O. Damen,et al.  Transmit diversity using rotated constellations with Hadamard transform , 2000, Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373).

[2]  Feng-Wen Sun,et al.  Approaching capacity by equiprobable signaling on the Gaussian channel , 1993, IEEE Trans. Inf. Theory.

[3]  Alexander Vardy,et al.  How to Construct Polar Codes , 2011, IEEE Transactions on Information Theory.

[4]  Robert W. Heath,et al.  Linear dispersion codes for MIMO systems based on frame theory , 2002, IEEE Trans. Signal Process..

[5]  Rudiger Urbanke,et al.  Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC , 2010, ISIT.

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

[7]  Kyeongcheol Yang,et al.  Mapping Selection and Code Construction for 2^m-ary Polar-Coded Modulation , 2012, IEEE Communications Letters.

[8]  Wei Yu,et al.  Design of irregular LDPC codes with optimized performance-complexity tradeoff , 2010, IEEE Transactions on Communications.

[9]  G. David Forney,et al.  Modulation and Coding for Linear Gaussian Channels , 1998, IEEE Trans. Inf. Theory.

[10]  Bin Li,et al.  An Adaptive Successive Cancellation List Decoder for Polar Codes with Cyclic Redundancy Check , 2012, IEEE Communications Letters.

[11]  Giuseppe Caire,et al.  Bit-Interleaved Coded Modulation , 2008, Found. Trends Commun. Inf. Theory.

[12]  Gerhard Fettweis,et al.  Turbo codes with non-uniform constellations , 2001, ICC 2001. IEEE International Conference on Communications. Conference Record (Cat. No.01CH37240).

[13]  Ye Wang,et al.  Bit-interleaved polar-coded modulation for low-latency short-block transmission , 2017, 2017 Optical Fiber Communications Conference and Exhibition (OFC).

[14]  Erdal Arikan,et al.  Systematic Polar Coding , 2011, IEEE Communications Letters.

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

[16]  Jing Sun,et al.  Interleavers for turbo codes using permutation polynomials over integer rings , 2005, IEEE Transactions on Information Theory.

[17]  Toshiaki Koike-Akino,et al.  Modified Probabilistic Data Association algorithms , 2014, 2014 IEEE International Conference on Communications (ICC).

[18]  Geng Wu,et al.  M2M: From mobile to embedded internet , 2011, IEEE Communications Magazine.

[19]  Georgios B. Giannakis,et al.  Space-time diversity systems based on linear constellation precoding , 2003, IEEE Trans. Wirel. Commun..

[20]  Chunjie Duan,et al.  On probabilistic data association for achieving near-exponential diversity over fading channels , 2013, 2013 IEEE International Conference on Communications (ICC).

[21]  Oscar Y. Takeshita,et al.  On maximum contention-free interleavers and permutation polynomials over integer rings , 2005, IEEE Transactions on Information Theory.

[22]  Andreas Schenk,et al.  Multilevel polar-coded modulation , 2013, 2013 IEEE International Symposium on Information Theory.

[23]  D. Millar,et al.  Iteration-Aware LDPC Code Design for Low-Power Optical Communications , 2016, Journal of Lightwave Technology.

[24]  Ramesh Annavajjala,et al.  Achieving near-exponential diversity on uncoded low-dimensional MIMO, multi-user and multi-carrier systems without transmitter CSI , 2011, 2011 Information Theory and Applications Workshop.

[25]  Toshiaki Koike-Akino,et al.  Universal Multi-Stage Precoding with Monomial Phase Rotation for Full-Diversity M2M Transmission , 2014, GLOBECOM 2014.

[26]  Laurent Schmalen,et al.  Status and Recent Advances on Forward Error Correction Technologies for Lightwave Systems , 2014, Journal of Lightwave Technology.

[27]  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.

[28]  Alexander Vardy,et al.  Flexible and Low-Complexity Encoding and Decoding of Systematic Polar Codes , 2016, IEEE Transactions on Communications.

[29]  R. Heath,et al.  Limited feedback unitary precoding for spatial multiplexing systems , 2005, IEEE Transactions on Information Theory.

[30]  H. Vincent Poor,et al.  Channel Coding Rate in the Finite Blocklength Regime , 2010, IEEE Transactions on Information Theory.