一种低译码复杂度的Turbo架构LDPC码
doi: 10.3724/SP.J.1146.2006.00824
A Low Decoding Complexity Gallager Code with Turbo Architecture
-
摘要: 针对低密度奇偶校验(LDPC)码较大的译码复杂度和RAM占用，该文提出了一种低译码复杂度的Turbo架构LDPC码并行交织级联Gallager码 (Parallel Interleaved Concatenated Gallager Code，PICGC)。该文给出了PICGC的设计方法和编译码算法，并分析比较了PICGC译码器与LDPC译码器所需的RAM存储量，推导出RAM节省比的上界。理论分析和仿真结果表明，PICGC以纠错性能略微降低为代价，有效地降低译码复杂度和RAM存储量，且译码时延并未增加，是一种有效且易于实现的信道编码方案。
-
关键词:
- LDPC码;级联码;译码复杂度
Abstract: Be aimed at lower complexity and RAM requirement of Low Density Parity Check (LDPC) decoder, a new class of concatenated codes called Parallel Interleaved Concatenated Gallager Code (PICGC), based on Turbo architecture and LDPC codes, is presented. In this paper, design, encoding and decoding algorithms of PICGC are studied. The RAM requirement for PICGC decoder is analyzed and compared to LDPC decoder, and an upper bound of memory-saving ratio is derived. The theoretical analysis and simulation results demonstrate that PICGC can reduce decoding complexity and RAM requirement significantly and maintain decoding delay with little sacrifice in performance in comparison to conventional LDPC codes. PICGC is an effective and feasible channel coding scheme. -
Gallager R G. Low-density parity-check codes. IRE Trans. on Inform. Theory, 1962, IT-8(1): 21-28.[2]MacKay D J C and Neal Near R M. Shannon limit performance of low density parity check codes[J].IEEE Electron. Lett.1996, 32(18):1645-1646[3]MacKay D J C. Good error-correcting codes based on very sparse matrices[J].IEEE Trans. on Information Theory.1999, 45(2):399-[4]Chung S Y, Forney G D J, and Richardson T J, et al.. On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit. IEEE Commun. Lett., 2001, 5(2): 58-60.[5]MacKay D J C. Gallager codes that are better than Turbo codes. 36th Allerton Conf. Communications, Control, and Computing, Monticello, USA, Sept. 1998: 23-25.[6]Chen J and Fossorier M P C. Density evolution for two improved BP-based decoding algorithms of LDPC codes[J].IEEE Commun. Lett.2002, 6(5):208-210[7]Rusmevichientong P and Van Roy B. An analysis of belief propagation on the Turbo decoding graph with Gaussian densities[J].IEEE Trans. on Information Theory.2001, 47(2):745-765[8]Hu X-Y, Eleftheriou E, and Arnol D M. Regular and irregular progressive edge-growth Tanner graphs[J].IEEE Trans. on Information Theory.2005, 51(1):386-398[9]Behairy H and Chang S C. Parallel concatenated Gallager codes[J].IEEE Electron. Lett.2000, 36(24):2025-2026[10]Behairy H and Chang S C. Parallel concatenated Gallager codes for CDMA applications. IEEE GLOBECOM 2001, San Antonio, USA, Nov. 2001: 1002-1006.[11]Behairy H and Chang S C. Analysis and design of parallel concatenated Gallager codes[J].IEEE Electron. Lett.2002, 38(18):1039-1040 -
计量
- 文章访问数: 3306
- HTML全文浏览量: 94
- PDF下载量: 993
- 被引次数: 0
下载:
