Optimization of Two-Dimensional Signal Constellations in the Presence of Gaussian Noise

IEEE Transactions on Communications

Volumn 22, Issue 1, 1974, Pages 28-38

  Foschini, Gerard J ^a   Gitlin, Richard D ^a   Weinstein, Stephen B ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY - DIGITAL SIGNALS; MATHEMATICAL TECHNIQUES - NUMERICAL METHODS;

DATA TRANSMISSION;

EID: 0015958752     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOM.1974.1092061     Document Type: Article

References (12)

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2. R. W. Lucky and J. C. Hancock, “On the optimum performance of N-ary systems having two degrees of freedom,” IRE Trans. Commun. Syst., vol. CS-10, pp. 185–192, June 1962.
3. J. Salz, J. R. Sheehan, and D. J. Paris, “Data transmission by combined AM and PM,” Bell Syst. Tech. J., vol. 50, Sept. 1971.
4. K. Kawai, S. Shintani, and H. Yanagidaira, “Optimum combination of amplitude and phase modulation scheme,” in 1972 Int. Conf. Communications Rec., Philadelphia, Pa.
5. C. M. Thomas, “Amplitude phase-keying with M-ary alphabets: A technique for bandwidth reduction,” Int. Telemetering Conf. Proc. (vol. 8), 1972.
6. G. J. Foschini, R. D. Gitlin, and S. B. Weinstein, “On the selection of a two-dimensional signal constellation in the presence of phase jitter and Gaussian noise,” Bell Syst. Tech. J., vol. 52, pp. 927–965, July-Aug. 1973.
7. J. M. Wozencraft and I. M. Jacobs, Principles of Communication Engineering. New York: Wiley, 1967.
8. D. G. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
9. A. A. Goldstein, Constructive Real Analysis. New York: Harper and Row, 1967, ch. 2 (sec. A-2).
10. M. K. Simon and J. G. Smith, “Hexagonal multiple phase-and-amplitude-shift-keyed signal sets,” IEEE Trans. Commun., vol. COM-21, pp. 1108–1115, Oct. 1973.
11. C. A. Rogers, Packing and Covering. New York: Cambridge Univ. Press, 1964.
12. J. H. Folkman and R. L. Graham, “A packing inequality for compact convex subsets of the plane,” Can. Math. Bull., vol. 12, pp. 745–752, 1969.