Multidimensional convolutional code: Progresses and bottlenecks

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn 3, Issue , 2003, Pages

  Charoenlarpnopparut, C ^a   Tantaratana, S ^a  

^a THAMMASAT UNIVERSITY   (Thailand)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY SEQUENCES; MATRIX ALGEBRA; POLYNOMIALS;

MULTIDIMENSIONAL SIGNALS;

CONVOLUTIONAL CODES;

EID: 0037744792     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. W.W. Adams and P. Loustaunau, "An Introduction to Gröbner Bases", Graduate Studies in Mathematics, vol.3, American Mathematical Society, 1994.
2. B. Buchberger, "Gröbner bases: An algorithmic method in polynomial ideal theory," In Multidimensional System Theory (N.K. Böse, ed.), Reidel, Dordrecht, 1985, pp. 184-232.
3. C. Charoenlarpnopparut and N.K. Bose, "Multidimensional filter bank design using Groebner bases," IEEE Transactions on Circuits and Systems II; Analog and Digital Signal Processing, vol. 46, no. 12, December 1999, pp. 1475-1486.
4. C. Charoenlarpnopparut and N.K. Bose, "Groebner Bases For Problem Solving in Multidimensional Systems," Multi-dimensional Systems and Signal Processing, vol. 12, no. 3-4, 2001, pp. 365-376.
5. nd edition, Springer-Verlag, New York, 1996.
6. E. Fornasini and M.E. Valcher, "Algebraic aspect of 2D convolutional codes," IEEE Trans. Inform. Theory, vol. IT-40, No. 4, 1994, pp. 1068-1082.
7. G.D. Forney, Jr, "Convolutional codes I: Algebraic structure," IEEE Trans. Info. Theory, vol. IT-16, Nov. 1970, pp. 720-738.
8. G.D. Forney, Jr, "The Viterbi algorithm," Proc. of the IEEE, vol. 61, pp. 268-278, Mar. 1973.
9. G.-M. Greuel, G. Pfister, and H. Schönemann. SINGULAR 2.0. A Computer Algebra System for Polynomial Computations. Centre for Computer Algebra, University of Kaiserslautern (2001). http://www.singular.uni-kl.de.
10. R. Johannesson and Z. Wan, "A linear algebra appoach to minimal convolutional encoders," IEEE Trans. Information Theory, vol. 39, no. 4, Jul. 1993, pp. 1219-1233.
11. R. Johannesson and Z. Wan, "Some structural properties of convolutional codes over rings," IEEE Trans. Information Theory, vol. 44, no. 2, Mar. 1998, pp. 839-845.
12. S. Mahapakulchai and R. E. Van Dyck, "Design of ring convolutional trellis codes for MAP decoding of MPEG-4 imagery," Proc. IEEE Inter. Conf. Commun. (ICC 2001), June 2001.
13. S. Mahapakulchai, "MAP source-controlled channel decoding for image transmission using CPFSK and ring convolutional codes," Ph.D. Dissertation, Pennsylvania State University, PA, USA, 2002.
14. J.L. Massey and T. Mittelholzer, "Convolutional codes over rings," in Proc. 4th Joint Swedish-Soviet Int. Workshop Information Theory Gotland, Sweden, Aug. 27-Sept. 1, 1989, pp. 14-18.
15. M.E. Valcher and E. Fornasini,"On 2-D finite support convolutional codes: An algebraic approach," Multidimensional Systems and Signal Processing," Vol. 5, No. 3, July 1994, pp. 231-243.
16. P.A. Wiener,"Multidimensional Convolutional Codes," Ph.D. Dissertation, University of Notre Dame, IN, USA, 1998.