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Reseach Article

Chaotic Adaptive Control of Non-Binary TTCM Decoding Algorithm

by Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 75 - Number 5
Year of Publication: 2013
Authors: Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher
10.5120/13106-0414

Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher . Chaotic Adaptive Control of Non-Binary TTCM Decoding Algorithm. International Journal of Computer Applications. 75, 5 ( August 2013), 12-20. DOI=10.5120/13106-0414

@article{ 10.5120/13106-0414,
author = { Riyadh A. Al-hilali, Abdulkareem S. Abdallah, Raad H. Thaher },
title = { Chaotic Adaptive Control of Non-Binary TTCM Decoding Algorithm },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 75 },
number = { 5 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 12-20 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume75/number5/13106-0414/ },
doi = { 10.5120/13106-0414 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:43:28.122359+05:30
%A Riyadh A. Al-hilali
%A Abdulkareem S. Abdallah
%A Raad H. Thaher
%T Chaotic Adaptive Control of Non-Binary TTCM Decoding Algorithm
%J International Journal of Computer Applications
%@ 0975-8887
%V 75
%N 5
%P 12-20
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents a non-binary Turbo Trellis Coded Modulation (TTCM) decoder-based multidimensional 3-D (Maximum A Posteriori) MAP algorithm. The proposed system deals with Non-binary error control coding of the TTCM scheme for transmissions over the AWGN channel. The idea of Non-binary codes has been extended for symbols de?ned over rings of integers, which outperform binary codes with only a small increase in decoding complexity. This paper employs chaos technique at the decoding stage of the Non-binary TTCM decoder, since the turbo decoding algorithm can be viewed as a high-dimensional dynamical nonlinear system. A simple technique to control transient chaos of turbo decoding algorithm is devised. The analysis of non-linear discrete deterministic Non-binary TTCM decoder used the Binary (0-1) test for chaos to distinguish between regular and chaotic dynamics. The most powerful aspect of the method is that it is independent of the nature of the vector field (or data) under consideration. The simulation results show that the performance of the non-binary TTCM decoding algorithm-based chaos technique outperforms the binary and non-binary decoding methods.

References
  1. C. Berrou and A. Glavieux, 'Near optimum error correcting coding and decoding: turbo codes', IEEE Transactions on Communications, vol. 44, pp. 1261–1271, October 1996.
  2. R. Gallager, 'Low density parity check codes', IEEE Transactions on Information Theory, vol. 8, pp. 21–28, January 1962.
  3. D. J. C. Mackay and R. M. Neal, 'Near Shannon limit performance of low density parity check codes', Electronics Letters, vol. 33, pp. 457–458, March 1997.
  4. B. Lu, X. Wang, and K. R. Narayanan, 'LDPC-based space-time coded OFDM systems over correlated fading channels: performance analysis and receiver design', in Proceedings of the 2001 IEEE International Symposium on Information Theory, (Washington, DC, USA), vol. 1, p. 313, 24–29 June 2001.
  5. 'Using MIMO-OFDM Technology To Boost Wireless LAN Performance Today', White Paper, Data comm Research Company, St Louis, USA, June 2005.
  6. H. Sampath, S. Talwar, J. Tellado, V. Erceg, and A. J. Paulraj, 'A fourth-generation MIMO-OFDM broadband wireless system: design, performance, and ?eld trial results', IEEE Communications Magazine, vol. 40, pp. 143–149, September 2002.
  7. Bahl, L. R. , Cocke, J. , Jelinek, F. , Raviv, J. Optimal decoding of linear codes for minimizing symbol error rate. IEEE Trans. Inform. Theory, vol. 20, pp. 284–287, 1974.
  8. L. E. Larson, Jia-Ming L. , and L. S. Tsimring: Digital Communications Using Chaos and Nonlinear Dynamics. Springer Science+Business Media, LLC (2006).
  9. N. Mobini, New Iterative Decoding Algorithms for Low-Density Parity-Check (LDPC) Codes. A thesis submitted to the Faculty of Graduate and Postdoctoral Affairs, Carleton University, Ottawa, Ontario, August, 2011.
  10. R. A. Carrasco and M. Johnston, Non-Binary Error Control Coding for Wireless Communications and Data Storage. UK, John Wiley & Sons, Ltd. 2009.
  11. C. Berrou, A. Glavieux, and P. Thitimajshima, 'Near Shannon limit error-correcting coding and decoding: turbo codes', in Proceedings of the International Conference on Communications,(Geneva,Switzerland), pp. 1064–1070, May 1993.
  12. Bahl, L. R. , Cocke, J. , Jelinek, F. , Raviv, J. Optimal decoding of linear codes for minimizing symbol error rate. IEEE Trans. Inform. Theory, vol. 20, pp. 284–287, 1974.
  13. Kuznetsov, Y. A. Elements of Applied Bifurcation Theory. Springer-Verlag, New York, 1995.
  14. G. A. Gottwald and I. Melbourne, "A new test for chaos in deterministic systems," Proceedings of the Royal Society of London A, vol. 460, no. 2042, pp. 603–611, 2004.
  15. M. M. Aziz and and M. N. Faraj, "Numerical and Chaotic Analysis of CHUA'S CIRCUT," Journal of Emerging Trends in Computing and Information Sciences, vol. 3, no. 5, pp. 783-791, May 2012.
Index Terms

Computer Science
Information Sciences

Keywords

Turbo codes TTCM chaos techniques nonlinear phenomena of dynamic systems