On the discreteness of capacity-achieving distributions

IEEE Transactions on Information Theory

Volumn 50, Issue 11, 2004, Pages 2773-2778

  Tchamkerten, Aslan ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CAPACITY; INTEGRAL EQUATIONS; PROBABILITY DENSITY FUNCTION; SPURIOUS SIGNAL NOISE; THEOREM PROVING;

ADDITIVE CHANNEL; CAPACITY ACHIEVING DISTRIBUTION; EXPONENTIAL NOISE; POLYNOMIAL NOISE;

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 8144219848     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.836662     Document Type: Article

References (16)

1. I. C. A. Faycal, M. D. Trott, and S. Shamai (Shitz), "The capacity of discrete-time memoryless rayleigh fading channels," Trans. Inform. Theory, vol. 47, pp. 1290-1301, May 2001.
2. A. Das, "Capacity-achieving distributions for non-Gaussian additive noise channels," in Proc. IEEE Int. Symp. Information Theory, Sorrento, Italy, June 2000, p. 432.
3. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
4. M. C. Gursoy, H. V. Poor, and S. Verdú "On the capacity-achieving distribution of the noncoherent rician fading channel," in Proc. Canadian Workshop on Information Theory, Waterloo, ON, Canada, May 18-21, 2003.
5. P. Hou, B. J. Belzer, and T. R. Fisher, "On the capacity of the Partially coherent additive white Gaussian noise channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, June /July 2003, p. 372.
6. D. G. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
7. M. Katz and S. Shamai (Shitz), "On the capacity-achieving distribution of the discrete-time noncoherent additive white Gaussian noise channel," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, June/July 2002, p. 165.
8. R. Nuriyev and A. Anastasopoulos, "Capacity characterization for the non-coherent block independent AWGN channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, June/July 2003, p. 373.
9. W. Oettli, "The capacity-achieving input distribution for some amplitude-limited channels with additive noise," IEEE Trans. Inform. Theory, vol. IT-20, pp. 372-374, May 1974.
10. R. Palanki, "On the capacity achieving distributions of some fading channels," in Proc. 40th Annu. Allerton Conf. Communication, Control, and Computing, Monticello, IL, Oct. 2002, pp. 337-346.
11. R. Remmert, Theory of Complex Functions New York, 1998.
12. S. Shamai (Shitz) and I. Bar-David, "The capacity of average and peak-power limited quadrature Gaussian channels," IEEE Trans. Inform. Theory, vol. 41, pp. 1060-1071, July 1995.
13. A. N. Shiryayev, Probability Berlin, Germany, 1984.
14. J. G. Smith, "On the information capacity of peak and average power constrained Gaussian channels," Ph.D. dissertation, Dept. Elec. Eng., Univ. Calif., Berkeley, CA, 1969.
15. J. G. Smith, "The information capacity of amplitude and variance constrained scalar Gaussian channel," Inform. Contr., vol. 18, pp. 203-219, 1971.
16. K. Yosida, Analysis Berlin, Germany, 1980.