Trellis Shaping

IEEE Transactions on Information Theory

Volumn 38, Issue 2, 1992, Pages 281-300

  Forney, G David ^a  

^a MOTOROLA   (United Kingdom)

Author keywords

coded modulation; constellations; Shaping; trellis codes

Indexed keywords

OPTIMIZATION;

CONSTELLATION EXPANSION; CONVOLUTIONAL CODES; MINIMUM WEIGHT SEQUENCES; SHAPING CODES; TRELLIS SHAPING;

CODES, SYMBOLIC;

EID: 0026834915     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.119687     Document Type: Article

References (24)

1. G. Ungerboeck, “Channel coding with multilevel/phase signals,” IEEE Trans. Inform. Theory, vol. IT-28, pp. 55–67, Jan. 1982.
2. G. D. Forney, Jr., R. G. Gallager, G. R. Lang, F. M. Longstaff, and S. U. Qureshi, “Efficient modulation for band-limited channels,” IEEE J. Select. Areas Commun., vol. SAC-2, pp. 632–647, Sept. 1984.
3. G. D. Forney, Jr. and L.-F. Wei, “Multidimensional constellations I: Introduction, figures of merit, and generalized cross constellations,” IEEE J. Select. Areas Commun., vol. SAC-7, pp. 877–892, Aug. 1989.
4. L.-F. Wei, “Trellis-coded modulation with multidimensional constellations,” IEEE Trans. Inform. Theory, vol. IT-33, pp. 483–501, July 1987.
5. N. J. A. Sloane, “Tables of sphere packings and spherical codes,” IEEE Trans. Inform. Theory, vol. IT-27, pp. 327–338, 1981.
6. A. R. Calderbank and N. J. A. Sloane, “Four-dimensional modulation with an eight-state trellis code,” AT&T Tech. J., vol. 64, pp. 1005–1018, 1985.
7. A. R. Calderbank and N. J. A. Sloane, “An eight-dimensional trellis code,” Proc. IEEE, vol. 74, pp. 757–759, 1986.
8. ―, “New trellis codes based on lattices and cosets,” IEEE Trans. Inform. Theory, vol. IT-33, pp. 177–195, Jan. 1987.
9. R. G. Gallager, “Source coded modulation system,” U.S. Pat. 4,586,182, Apr. 29, 1986.
10. J. R. Livingston, “Shaping gains using non-equiprobable signaling,” submitted to IEEE Trans. Inform. Theory, July 1990.
11. F. R. Kschischang and S. Pasupathy, “Optimal nonuniform signalling for Gaussian channels,” submitted to IEEE Trans. Inform. Theory, Nov. 1990.
12. J. H. Conway and N. J. A. Sloane, “A fast encoding method for lattice codes and quantizers,” IEEE Trans. Inform. Theory, vol. IT-29, pp. 820–824, Nov. 1983.
13. G. D. Forney, Jr., “Multidimensional constellations II: Voronoi constellations,” IEEE J. Select. Areas Commun., vol. SAC-7, pp. 941–958, Aug. 1989.
14. A. R. Calderbank and L. H. Ozarow, “Nonequiprobable signaling on the Gaussian channel,” IEEE Trans. Inform. Theory, vol. 36, pp. 726–740, July 1990.
15. M. W. Marcellin and T. R. Fischer, “Trellis coded quantization of memoryless and Gauss-Markov sources,” IEEE Trans. Commun., vol. 38, pp. 82–93, 1990.
16. G. D. Forney, Jr., “Coset codes—Part I: Introduction and geometrical classification,” IEEE Trans. Inform. Theory, vol. 34, pp. 1123–1151, Sept. 1988.
17. G. D. Forney, Jr., “The Viterbi algorithm,” Proc. IEEE, vol. 61, pp. 268–278, Mar. 1973.
18. G. D. Forney, Jr., “Convolutional codes I: Algebraic structure,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 720–738, Nov. 1970.
19. G. D. Forney, Jr., “Structural analysis of convolutional codes via dual codes,” IEEE Trans. Inform. Theory, vol. IT-19, pp. 512–518, July 1973.
20. J. H. Conway and N. J. A. Sloane, “A lower bound on the average error of vector quantizers,” IEEE Trans. Inform. Theory, vol. IT-31, pp. 106–109, Jan. 1985.
21. M. V. Eyuboglu and G. D. Forney, Jr., “Trellis precoding: Combined coding, precoding and shaping for intersymbol interference channels,” IEEE Trans. Inform. Theory, vol. 38, pt. I, pp. 301–314, Mar. 1992.
22. G. D. Forney, Jr., “Geometrically uniform codes,” IEEE Trans. Inform. Theory, vol. 37, pp. 1241–1260, Sept. 1991.
23. M. V. Eyuboglu and G. D. Forney, Jr., “Lattice and trellis quantization with lattice- and trellis-bounded codebooks—Part I: High-rate theory for memory less sources,” submitted to IEEE Trans. Inform. Theory, Dec. 1990.
24. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.