Design and Performance of Rate-Compatible Non-binary LDPC Convolutional Codes

作者：Uchikawa Hironori^*; Kasai Kenta; Sakaniwa Kohichi

来源：IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2011, E94A(11): 2135-2143.

DOI：10.1587/transfun.E94.A.2135

• non-binary LDPC codes
• LDPC convolutional codes
• rate-compatibility

In this paper, we present a construction method of nonbinary low-density parity-check (LDPC) convolutional codes. Our construction method is an extension of Felstrom and Zigangirov construction [1] for non-binary LDPC convolutional codes. The rate-compatibility of the non-binary convolutional code is also discussed. The proposed rate-compatible code is designed from one single mother (2,4)-regular nonbinary LDPC convolutional code of rate 1/2. Higher-rate codes are produced by puncturing the mother code and lower-rate codes are produced by multiplicatively repeating the mother code. Simulation results show that non-binary LDPC convolutional codes of rate 1/2 outperform state-of-the-art binary LDPC convolutional codes with comparable constraint bit length. Also the derived low-rate and high-rate non-binary LDPC convolutional codes exhibit good decoding performance without loss of large gap to the Shannon limits.

• 出版日期2011-11