Algebraic tools to build modulation schemes for fading channels

IEEE Transactions on Information Theory

Volumn 43, Issue 3, 1997, Pages 938-952

  Giraud, Xavier ^a,b   Boutillon, Emmanuel ^b   Belfiore, Jean Claude ^a,b  

^a IEEE   (France)

^b TELECOM PARISTECH   (France)

Author keywords

Coset codes; Diversity; Fading channels; Lattices; Number fields

Indexed keywords

ALGEBRA; CODES (SYMBOLS); CODING ERRORS; FADING (RADIO); MODULATION; PROBABILITY; SIGNAL PROCESSING;

FADING CHANNELS;

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 0031140443     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.568703     Document Type: Article

References (17)

1. X. Giraud and J. C. Belfiore, "Constellations matched to the Rayleigh fading channel," IEEE Trans. Inform. Theory, vol. 42, pp. 106-115, Jan. 1996.
2. X. Giraud, "Constellations matched to the fading channels," Ph.D. dissertation, ENST, Paris, France, May 1994.
3. K. Boullé and J. C. Belfiore, "Modulation schemes designed for the Rayleigh fading channel," presented at CISS'92, Princeton, NJ, Mar. 1992.
4. G. D. Forney Jr. "Geometrically uniform codes," IEEE Trans. Inform. Theory, vol. 37, pp. 1241-1260, Sept. 1991.
5. _, "Coset codes - Part I and Part II," IEEE Trans. Inform. Theory, vol. 34, pp. 1123-1187, Jan. 1988.
6. _, "Ternary codes, lattices and trellis codes," unpublished.
7. P. M. Grüber and C. G. Lekkerkerker, Geometry of Numbers. Amsterdam, The Netherlands: North-Holland Math. Library Elsevier, 1987.
8. D. Divsalar and M. K. Simon, "The design of trellis coded MPSK for fading channels: Performance criteria," IEEE Trans. Commun., vol. 36, pp. 1004-1012, Sept. 1988.
9. J. A. Rush, "Constructive packing of crosspolytopes," Mathematika, vol. 38, pp. 376-380, 1991.
10. M. Siala, X. Giraud, and G. K. Kaleh, "Lee metric coset codes and their performance on some Rician channels," in Proc. Int. Conf. on Telecommunications (Istanbul, Turkey, Apr. 1996).
11. D. A. Marcus, Number Fields (University Texts). New York: Springer-Verlag, 1977.
12. S. Lang, Algebraic Number Fields (Graduate Texts in Mathematics). New York: Springer-Verlag, 1986.
13. M. Craig, "Extreme forms and cyclotomy," Mathematika, vol. 25, pp. 236-241, 1978.
14. J. Boutros, E. Viterbo, C. Rastello, and J. C. Belfiore, "Good lattice constellations for both Rayleigh and Gaussian channels," IEEE Trans. Inform. Theory, vol. 42, pp. 502-518, Mar. 1996.
15. G. Ungerboeck, "Trellis-coded modulation with redundant signal sets, Part II," IEEE Commun. Mag., vol. 25, no. 2, Feb. 1987.
16. L. F. Wei, "Trellis-coded modulations with multidimensional constellations," IEEE Trans. Inform. Theory, vol. IT-33, pp. 483-501, July 1987.
17. E. Boutillon, "A VLSI architecture of a decoder for TCM using admissible lattices designed for the Rayleigh fading channel," presented at ICC'94, New Orleans, LA.