Abstract

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.

Highlights

  • 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

  • In this paper, applying the joint code and decoder design methodology, we develop an elaborate (3, k)-regular LDPC code high-speed partly parallel decoder architecture based on which we implement a 9216-bit, rate-1/2 (3, 6)-regular LDPC code decoder using Xilinx Virtex FPGA (Field Programmable Gate Array) device

  • (2) Develop a partly parallel decoder that is configured by a set of constrained random parameters and defines a (3, k)-regular LDPC code ensemble, in which each code is a subcode of C2 and has the parity-check matrix H = [HT, HT3 ]T

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Summary

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. For any given LDPC code, due to the randomness of its Tanner graph, it is nearly impossible to directly develop a high-speed partly parallel decoder architecture. In this paper, applying the joint code and decoder design methodology, we develop an elaborate (3, k)-regular LDPC code high-speed partly parallel decoder architecture based on which we implement a 9216-bit, rate-1/2 (3, 6)-regular LDPC code decoder using Xilinx Virtex FPGA (Field Programmable Gate Array) device. To achieve good error-correcting capability, the LDPC code decoder architecture has to possess randomness to some extent, which makes the FPGA implementations more challenging since FPGA has fixed and regular hardware resources.

DECODING ALGORITHM
JOINT CODE AND DECODER DESIGN
PARTLY PARALLEL DECODER ARCHITECTURE
Check node processing
Variable node processing
CNU and VNU architectures
76 T -to-S
FPGA IMPLEMENTATION
Findings
CONCLUSION
Full Text
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