A design of rate-adaptive LDPC codes for distributed source coding using PEG algorithm

We propose a method for constructing rate-adaptive low-density parity check (LDPC) codes with large girth by syndrome merging with progressive-edge-growth (PEG) algorithm. Proposed scheme has a different structure from LDPC accumulate (LDPCA) codes. As a result, the new construction method turns the girth up for each specific code, and eliminates error floor.

[1]  Marco Dalai,et al.  The DISCOVER codec: Architecture, Techniques and Evaluation , 2007, PCS 2007.

[2]  Richard D. Wesel,et al.  Construction of irregular LDPC codes with low error floors , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[3]  Bernd Girod,et al.  Rate-adaptive codes for distributed source coding , 2006, Signal Process..

[4]  Toshiaki Fujii,et al.  Adaptive Distributed Source Coding for Multi-view Images , 2004, PCM.

[5]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.

[6]  Aaron D. Wyner,et al.  The rate-distortion function for source coding with side information at the decoder , 1976, IEEE Trans. Inf. Theory.

[7]  Feng Cen Design of degree distributions for LDPCA codes , 2009, IEEE Communications Letters.

[8]  Kenta Kasai,et al.  Rate-Compatible Slepian-Wolf Coding with Short Non-Binary LDPC Codes , 2010, 2010 Data Compression Conference.

[9]  A. Glavieux,et al.  Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1 , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

[10]  R. A. McDonald,et al.  Noiseless Coding of Correlated Information Sources , 1973 .

[11]  Bernd Girod,et al.  Distributed Video Coding , 2005, Proceedings of the IEEE.

[12]  Rüdiger L. Urbanke,et al.  The capacity of low-density parity-check codes under message-passing decoding , 2001, IEEE Trans. Inf. Theory.

[13]  K. Ramchandran,et al.  Distributed source coding using syndromes (DISCUS): design and construction , 1999, Proceedings DCC'99 Data Compression Conference (Cat. No. PR00096).

[14]  Chris Jones,et al.  Rate-compatible low-density parity-check codes , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[15]  Kannan Ramchandran,et al.  Distributed source coding using syndromes (DISCUSS): design and construction , 1999 .

[16]  Evangelos Eleftheriou,et al.  Regular and irregular progressive edge-growth tanner graphs , 2005, IEEE Transactions on Information Theory.