Non-binary turbo codes and applications

In this paper we consider the use of q-ary turbo codes on abstract q-ary channels. Simulations show that our 16-ary codes perform well on the q-ary symmetric channel. This validates their suitability as outer codes in non-binary applications. We also compare with the performance of same codes on conventional PSK and QAM modulation, and demonstrate an application of these codes to the insertion/deletion channel.

[1]  G. Sharma,et al.  Watermark Synchronization: Perspectives and a New Paradigm , 2006, 2006 40th Annual Conference on Information Sciences and Systems.

[2]  D. Divsalar,et al.  Turbo codes for deep-space communications , 1995 .

[3]  John G. Proakis,et al.  Digital Communications , 1983 .

[4]  David J. C. MacKay,et al.  Reliable communication over channels with insertions, deletions, and substitutions , 2001, IEEE Trans. Inf. Theory.

[5]  Markus G. Kuhn,et al.  Attacks on Copyright Marking Systems , 1998, Information Hiding.

[6]  Desmond P. Taylor,et al.  Rate-1/2 component codes for nonbinary turbo codes , 2005, IEEE Transactions on Communications.

[7]  William E. Ryan,et al.  Two classes of convolutional codes over GF(q) for q -ary orthogonal signaling , 1991, IEEE Trans. Commun..

[8]  Daniel J. Costello,et al.  Construction and performance of q-ary turbo codes for use with M-ary modulation techniques , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).

[9]  J.A. Briffa,et al.  Improvement of the Davey-MacKay construction , 2008, 2008 International Symposium on Information Theory and Its Applications.