Configurable and high-throughput architectures for Quasi-cyclic low-density parity-check codes

LDPC codes are currently the most promising coding technique to achieve the Shannon capacity, making them very popular in modern telecommuncation applications. Despite the attractivity stemming from their effectiveness, encoding and decoding LDPC codes is a rather complex task, due to the size and structure of the codes, especially when considering the ever increasing need for higher throughput in communication networks. All these constraints are setting the demand for new encoding/decoding architectures very high. In this paper, we propose effective encoder and decoder architectures for the Quasi-Cycle subclass of LDPC codes. The main features being targeted are pre-synthesis configurability and high throughput. QC-LDPC codes exhibit a highly regular structure in their parity check matrices making easier the design process to obtain the high levels of architectural parallelism necessary to achieve the required high throughputs. In order to validate our design, several encoder and decoder were implemented on FPGAs of the Altera Stratix III and Xilinx Virtex4 using different code parameters (block length and code rate) for QC-LPDC codes from the WiMAX (IEEE 802.16e) and the WiFi (IEEE 802.1 In) protocols. Throughputs up to 32 Gbits/s and 732 Mbits/s have been achieved for the encoder and decoder, respectively.

[1]  Anthony Chan Carusone,et al.  A flexible hardware encoder for systematic low-density parity-check codes , 2009, 2009 52nd IEEE International Midwest Symposium on Circuits and Systems.

[2]  Vikram Arkalgud Chandrasetty,et al.  A Highly Flexible LDPC Decoder using Hierarchical Quasi-Cyclic Matrix with Layered Permutation , 2012, J. Networks.

[3]  Wayne Luk,et al.  A flexible hardware encoder for low-density parity-check codes , 2004, 12th Annual IEEE Symposium on Field-Programmable Custom Computing Machines.

[4]  Hong Ding,et al.  Design and Implementation for High Speed LDPC Decoder with Layered Decoding , 2009, 2009 WRI International Conference on Communications and Mobile Computing.

[5]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.

[6]  Moon Ho Lee,et al.  Semi-Random and Quasi-Cyclic LDPC Codes Based on Multiple Parity-Check Codes , 2010, 2010 IEEE International Conference on Communications.

[7]  J.R. Cavallaro,et al.  High Throughput, Parallel, Scalable LDPC Encoder/Decoder Architecture for OFDM Systems , 2006, 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software.

[8]  Li Ping,et al.  Low density parity check codes with semi-random parity check matrix , 1999 .