对于原型图低密度奇偶校验(P-LDPC)码的比特交织编码调制系统,P-LDPC码和比特交织器是系统获得良好性能的关键. 针对高阶QAM调制的P-LDPC码编码调制系统,采用修正的EXIT方法分析了不同变量节点度数匹配交织映射方案下系统的收敛门限,从而提出一种基于节点度数匹配的通用交织优化设计准则. 数值分析和仿真结果验证了优化准则的正确性.
As a crucial part in bit-interleavered coded modulation (BICM), protograph low-density paritycheck(P-LDPC) codes and interleavers can greatly improve the performance of a BICM system. In this paper, we use a modified EXIT analysis method to analyze thresholds for a P-LDPC coded BICM system
with high-order QAM in different variable degree matched mapping (VDMM) schemes. A general criterion for optimization of VDMM interleavers is proposed. Results of numerical analysis and simulation show correctness of the optimization criterion.
[1] CAIRE G, TARICCO G, BIGLIERI E. Bit-interleaved coded modulation [J]. IEEE Transactions on Information Theory, 1998, 44(5): 927-946.
[2] GOFF S Y L. Signal constellations for bit-interleaved coded modulation [J]. IEEE Transactions Inform. Theory, 2003, 49(1): 307-313.
[3] VALLES E L. Constellation design for improved iterative LDPC decoding [C]//IEEE Aerospace Conference, 2008
[4] MUHAMMAD N S, SPEIDEL J. Joint optimization of signal constellation and bit labeling for bit-interleaved coded modulation with iterative decoding [J]. IEEE Communications Letters, 2005, 9(9): 775-777.
[5] SANDBERG S, DEETZEN N. Design of bandwidth-efficient unequal error protection LDPC codes [J]. IEEE Transactions on Communications, 2010, 58(3): 802-811.
[6] ZHANG L, KSCHISCHANG F R. Design of multi-edge-type LDPC codes for high-order coded modulation [C]//12th Canadian Workshop on Information Theory (CWIT), 2011.
[7] LI Y, RYAN W E. Bit-reliability mapping in LDPC-coded modulation [J]. IEEE Communications Letters, 2005, 9(1): 1-3.
[8] DIVSALAR D, JONES C. Protograph based low error floor LDPC coded modulation [C]//Military Communications Conference, Oct. 2005.
[9] LEI J, GAO W, SPASOJEVIC P, YATES R. Demultiplexer design for multi-edge type LDPC coded modulation [C]//Proc. IEEE Int. Symp. on Inf. Theory, 2009.
[10] LEI J, GAO W. Matching graph connectivity of LDPC codes to high-order modulation by bit interleaving [C]//46-th Annual Allerton Conference, UIUC(全拼?), Illinois, USA, Sept. 2008.
[11] YANG H K, YANG K. Optimization of degree-profile matching interleavers for LDPC-coded modulation [J]. IEEE Transactions on Communications, 2006, 10(12): 843-845.
[12] RICHTER G, HOF A, BOSSERT M. On the mapping of low-density parity-check codes for bit-interleaved coded modulation [C]//Proc. IEEE ISIT, Nice, France, Jun. 2007.
[13] NOWAK S, KAYS R. An interleaving scheme for efficient binary LDPC coded higher-order modulation [C]//International ITG Conference on Source and Channel Coding, 2010.
[14] ALVARADO A, AGRELL E, SZCZECINSKI L, SVENSSON A. Exploiting UEP in QAM-based BICM interleaver and code design [J]. IEEE Transactions on Communications, 2010, 58(2): 500-510.
[15] 许成鑫,常永宇,杨鸿文,张欣. 利用LDPC码度分布的QAM方案 [J]. 北京邮电大学学报,2010, 33(1): 89-92.
XU Chengxin, CHANG Yongyu, YANG Hongwen, ZHANG Xin. QAM scheme using degree distribution of LDPC codes [J]. Journal of Beijing University of Posts and Telecommunications, 2010, 33(1): 89-92. (in Chinese)
[16] DIVSALAR D, DOLINAR S, JONES C, et al. Capacity approaching protograph codes [J]. IEEE Journal on Selected Areas in Communications, 27(6): 876-888, 2009
[17] Jin Y, Jiang M, Zhao C. Optimized variable degree matched mapping for protograph LDPC coded modulation with 16QAM [C]//6th International Symposium on Turbo Codes & Iterative Information Processing, 2010.
[18] SMITH B P, KSCHISCHANG F R. Future prospects for FEC in fiber-optic communications [J]. IEEE Journal of Selected Topics in Quantum Electronics, 2010, 16(5): 1245-1257.
[19] BRINK S T, KRAMER G, ASHIKHMIN A. Design of low-density parity-check codes for modulation and detection [J]. IEEE Transactions on Communications,2004, 52(4): 670-678.