TAILIEUCHUNG - EURASIP Journal on Applied Signal Processing 2003:6, 530–542 c 2003 Hindawi Publishing

EURASIP Journal on Applied Signal Processing 2003:6, 530–542 c 2003 Hindawi Publishing Corporation An FPGA Implementation of (3, 6)-Regular Low-Density Parity-Check Code Decoder Tong Zhang Department of Electrical, Computer, and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA Email: tzhang@ Keshab K. Parhi Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN 55455, USA Email: parhi@ Received 28 February 2002 and in revised form 6 December 2002 Because of their excellent error-correcting performance, low-density parity-check (LDPC) codes have recently attracted a lot of attention. In this paper, we are interested in the practical LDPC code decoder hardware implementations. The direct fully parallel. | EURASIP Journal on Applied Signal Processing 2003 6 530-542 2003 Hindawi Publishing Corporation An FPGA Implementation of 3 6 -Regular Low-Density Parity-Check Code Decoder Tong Zhang Department of Electrical Computer and Systems Engineering Rensselaer Polytechnic Institute Troy NY 12180 USA Email tzhang@ Keshab K. Parhi Department of Electrical and Computer Engineering University of Minnesota Minneapolis MN 55455 USA Email parhi@ Received 28 February 2002 and in revised form 6 December 2002 Because of their excellent error-correcting performance low-density parity-check LDPC codes have recently attracted a lot of attention. In this paper we are interested in the practical LDPC code decoder hardware implementations. The direct fully parallel decoder implementation usually incurs too high hardware complexity for many real applications thus partly parallel decoder design approaches that can achieve appropriate trade-offs between hardware complexity and decoding throughput are highly desirable. Applying a joint code and decoder design methodology we develop a high-speed 3 k -regular LDPC code partly parallel decoder architecture based on which we implement a 9216-bit rate-1 2 3 6 -regular LDPC code decoder on Xilinx FPGA device. This partly parallel decoder supports a maximum symbol throughput of 54 Mbps and achieves BER 10 6 at 2 dB over AWGN channel while performing maximum 18 decoding iterations. Keywords and phrases low-density parity-check codes error-correcting coding decoder FPGA. 1. INTRODUCTION In the past few years the recently rediscovered low-density parity-check LDPC codes 1 2 3 have received a lot of attention and have been widely considered as next-generation error-correcting codes for telecommunication and magnetic storage. Defined as the null space of a very sparse M X N parity-check matrix H an LDPC code is typically represented by a bipartite graph usually called Tanner graph in which one set of N variable nodes corresponds to

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