Rotational invariance of trellis codes-part II: Group codes and decoders

IEEE Transactions on Information Theory

Volumn 42, Issue 3, 1996, Pages 766-778

  Benedetto, Sergio ^a,c   Garello, Roberto ^a,b   Mondin, Marina ^b   Trott, Mitchell D ^b  

^a IEEE

^b POLITECNICO DI TORINO   (Italy)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Differential preceding; Encoders; Group systems; Rotational invariance; Trellis codes

Indexed keywords

ALGEBRA; BINARY CODES; BIT ERROR RATE; COMPUTER SIMULATION; CONSTRAINT THEORY; CONVOLUTIONAL CODES; DECODING; GRAPH THEORY; PROBABILITY; SPURIOUS SIGNAL NOISE;

BINARY LINEAR CONVOLUTIONAL CODES; DIFFERENT INVARIENT ENCODERS; DIFFERENTIAL PRECODING; GROUP SYSTEMS; ROTATIONAL INVARIANCE;

TRELLIS CODES;

EID: 0030151230     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.490543     Document Type: Article

References (12)

1. Benedetto,S.,Garello,R., Mondin,M. and Montorsi,G.Geometrically uniform TCM codes over groups based on L × MPSK constellations, IEEE Transactions on Information Theory(1994), vol.40, no.1, pp. 137-152, DOI: 10.1109/18.272463
2. H.J. Chizeck and M. D. Trott, "Algebraic systems, trellis codes, and rotational invariance," in Advances in Electronics and Electron Physics. vol. 79. New York: Academic Press, 1990, pp. 1-71.
3. G. 13. homey, Jr., "Geometrically uniform codes," IEEE Trans. Inform. Theory; vol. 37, pp. 1241-1260, Sept. 1991.
4. G.D. Forney, Jr. and M. D. Trott, "The dynamics of group codes: State spaces, trellis diagrams and canonical encoders," IEEE Trans. Inform. Theory, vol. 39, pp. 1491-1513, Sept. 1993.
5. B.P. Kitchens, "Expansive dynamics on zero-dimensional groups," Ergodic Theory and Dynamical Systems, vol. 7, pp. 249-261, 1987.
6. H.-A. Loeliger, "Signal sets matched to groups," IEEE Trans. Inform. Theory, vol. 37, pp. 1675-1682, Nov. 1991.
7. H.-A. Loeliger and T. Mittelholzer, "Convolutional codes over groups," submitted to IEEE Trans. Inform. Theory.
8. [81 J.L. Massey, T. Mittelholr, T. Riedel, and M. VoUenweider, "Ring convolutional codes for phase modulation," presented at the IEEE International Symposium on Information Theory, San Diego, CA, Jan. 1990.
9. J.L. Massey and T. Mittelholzer, "Systematicity and rotational invariance of cunvolutional codes over rings." in Proc. 2nd Int. Workshop on Algebraic and Combinatorial Coding Theory, Sept. 1990.
10. M. Oerder, "Rotationally invariant trellis codes for m-PSK modulation," in IEEE Int. Conf. on Communications, Conf. Rec., 1985, pp. 552-556.
11. M.D. Trott, "The algebraic structure of trellis codes," Ph.D. dissertation, Stanford Univ., Stanford, CA, Aug. 1992.
12. M.D. Trott, S. Benedetto, R. Garello, and M. Mondin, "Rotational invariance of trellis codes-Part I: Encoders and precoders," this issue, pp. 751-765.