Double-binary RSC convolutional codes selection based on convergence of iterative turbo-decoding process

This paper presents an analysis of the recursive systematic double-binary convolutional codes (RSDBC) and a performance criterion which can be used to establish their hierarchy. This hierarchy serves for the selection of high performance turbo-codes. The criterion already mentioned consists in the convergence of the corresponding iterative turbo decoding process. We investigated the families of codes of memory 2, 3, 4 and 5. The simulation results are presented in two manners: statistically for the entire set of codes and nominal for the best ones.

[1]  Claude Berrou,et al.  The advantages of non-binary turbo codes , 2001, Proceedings 2001 IEEE Information Theory Workshop (Cat. No.01EX494).

[2]  Ramesh Pyndiah,et al.  Near-optimum decoding of product codes: block turbo codes , 1998, IEEE Trans. Commun..

[3]  Claude Berrou,et al.  Designing good permutations for turbo codes: towards a single model , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[4]  Claude Berrou,et al.  Turbo codes with rate-m/(m+1) constituent convolutional codes , 2005, IEEE Transactions on Communications.

[5]  C. Berrou,et al.  Non-binary convolutional codes for turbo coding , 1999 .

[6]  Rolf Johannesson,et al.  Minimal and canonical rational generator matrices for convolutional codes , 1996, IEEE Trans. Inf. Theory.

[7]  Alexander Vardy,et al.  Generalized minimum-distance decoding of Euclidean-space codes and lattices , 1996, IEEE Trans. Inf. Theory.

[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]  G. David Forney,et al.  Convolutional codes I: Algebraic structure , 1970, IEEE Trans. Inf. Theory.

[11]  Jing Sun,et al.  Interleavers for turbo codes using permutation polynomials over integer rings , 2005, IEEE Transactions on Information Theory.

[12]  B. Horia,et al.  On the Encoding of the Multi-Non-Binary Convolutional Codes , 2009 .

[13]  Rolf Johannesson,et al.  Fundamentals of Convolutional Coding , 1999 .