New GRP LDPC Codes for H-ARQ-IR Over the Block Fading Channel

In this paper, we propose a new construction of generalized root protograph (GRP) low-density parity-check (LDPC) codes which has a guaranteed diversity order. New hybrid-automatic request with incremental redundancy (H-ARQ-IR) is also proposed to ensure high diversity and rate-compatibility in wireless communication systems, where the GRP LDPC codes are employed along with a method called feedback encoding. The proposed H-ARQ-IR has advantages of low-complexity and near-optimal performance. In order to show its performance behavior, theoretical analysis for the proposed scheme is conducted for the block fading channel. Furthermore, numerical analysis shows that it achieves near maximum diversity order under the belief propagation (BP) decoding with binary phase shift keying (BPSK) modulation and high-order quadrature amplitude modulations (QAMs).

[1]  Rüdiger L. Urbanke,et al.  Modern Coding Theory , 2008 .

[2]  Murat Uysal,et al.  Fast-Decodable MIMO HARQ Systems , 2015, IEEE Transactions on Wireless Communications.

[3]  Nihar Jindal,et al.  Coding versus ARQ in Fading Channels: How Reliable Should the PHY Be? , 2009, IEEE Transactions on Communications.

[4]  Marc P. C. Fossorier,et al.  Quasi-Cyclic Low-Density Parity-Check Codes From Circulant Permutation Matrices , 2004, IEEE Trans. Inf. Theory.

[5]  Yongyi Mao,et al.  Rateless coding over fading channels , 2006, IEEE Communications Letters.

[6]  Gangsan Kim,et al.  New Design of High-Rate Generalized Root Protograph LDPC Codes for Nonergodic Block Interference , 2019, IEEE Communications Letters.

[7]  Swapnil Mhaske,et al.  Rate compatible IRA codes using row splitting for 5G wireless , 2015, 2015 49th Annual Conference on Information Sciences and Systems (CISS).

[8]  Nihar Jindal,et al.  Performance of hybrid-ARQ in block-fading channels: A fixed outage probability analysis , 2010, IEEE Transactions on Communications.

[9]  Raymond Knopp,et al.  On coding for block fading channels , 2000, IEEE Trans. Inf. Theory.

[10]  Giuseppe Caire,et al.  Incremental redundancy hybrid ARQ schemes based on low-density parity-check codes , 2004, IEEE Transactions on Communications.

[11]  Soung Chang Liew,et al.  Design of Distributed Protograph LDPC Codes for Multi-Relay Coded-Cooperative Networks , 2017, IEEE Transactions on Wireless Communications.

[12]  Mohamed-Slim Alouini,et al.  An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels , 2000, IEEE Trans. Commun..

[13]  Richard D. Wesel,et al.  Protograph-Based Raptor-Like LDPC Codes , 2014, IEEE Transactions on Communications.

[14]  Shrinivas Kudekar,et al.  Design of Low-Density Parity Check Codes for 5G New Radio , 2018, IEEE Communications Magazine.

[15]  Rodrigo C. de Lamare,et al.  Iterative Detection and Decoding Algorithms for MIMO Systems in Block-Fading Channels Using LDPC Codes , 2016, IEEE Transactions on Vehicular Technology.

[16]  Kyung-Joong Kim,et al.  Low-Density Parity-Check Codes for ATSC 3.0 , 2016, IEEE Transactions on Broadcasting.

[17]  Ghassan M. Kraidy,et al.  High-rate turbo code design for block-fading channels , 2016, 2016 18th Mediterranean Electrotechnical Conference (MELECON).

[18]  Rodrigo C. de Lamare,et al.  Structured root-LDPC codes and PEG-based techniques for block-fading channels , 2015, EURASIP J. Wirel. Commun. Netw..

[19]  Lin Wang,et al.  Rate-Compatible Root-Protograph LDPC Codes for Quasi-Static Fading Relay Channels , 2016, IEEE Transactions on Vehicular Technology.

[20]  Lawrence Ong,et al.  A New Density Evolution Approximation for LDPC and Multi-Edge Type LDPC Codes , 2016, IEEE Transactions on Communications.

[21]  Lars K. Rasmussen,et al.  Analysis and Computation of the Outage Probability of Discrete-Input Block-Fading Channels , 2007, 2007 IEEE International Symposium on Information Theory.

[22]  J. Thorpe.  Low-Density Parity-Check (LDPC) Codes Constructed from Protographs , 2003 .

[23]  Marc Moeneclaey,et al.  Design of diversity-achieving LDPC codes for H-ARQ with cross-packet channel coding , 2010, 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.