On the capacity-achieving distribution of the discrete-time noncoherent and partially coherent AWGN channels

IEEE Transactions on Information Theory

Volumn 50, Issue 10, 2004, Pages 2257-2270

  Katz, Michael ^a   Shamai, Shlomo ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER COMMUNICATION; CHANNEL CAPACITY; CONSTRAINT THEORY; ERROR STATISTICS; PHASE LOCKED LOOPS; SIGNAL RECEIVERS; SIGNAL TO NOISE RATIO; WHITE NOISE;

ADDITIVE WHITE GAUSSIAN NOISE; CAPACITY ACHIEVING DISTRIBUTION; KUHN-TUCKER CONDITIONS (KTC); NONCOHERENT CHANNEL; PARTIALLY COHERENT CHANNEL;

COMMUNICATION CHANNELS (INFORMATION THEORY);

EID: 5144221014     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.834745     Document Type: Article

References (46)

1. S. Hranilovic and F. R. Kschischang, "Capacity bounds for power- and band-limited optical intensity channels corrupted by Gaussian noise," IEEE Trans. Inform. Theory, vol. 50, pp. 784-795, May 2004.
2. E. Telatar, "Envelope detected complex Gaussian noise channel," Bell Labs., Lucent Technologies, Murray-Hill, NJ, 1999. Personal communication.
3. N. M. Blachman, "A comparison of the informational capacities of amplitude- and phase-modulation communication systems," Proc. IRE, vol. 41, pp. 748-759, June 1953.
4. Z. Jelonek, "A comparison of transmission systems," in Proc. Symp. Applications of Communication Theory, Elec. Eng. Dept., Imperial College, London, U.K., Sept. 1952.
5. A. Lapidoth and S. M. Moser, "Convex-programming bounds on the capacity of flat fading channels," in IEEE Int. Symp. Information Theory, Washington, DC, June 24-29, 2001, p. 53.
6. A. Lapidoth, "Capacity bounds via duality: A phase noise example," in Proc. 2nd Asian-European Workshop on Information Theory, Breisach, Germany, June 26-29, 2002, pp. 58-61.
7. D. Divasalar and M. K. Simon, "Multiple-symbol differential detection of MPSK," IEEE Trans. Commun., vol. 38, pp. 300-308, Mar. 1990.
8. D. Divasalar and M. K. Simon, "Maximum-likelihood differential detection of uncoded and trellis coded amplitude phase modulation over AWGN and fading channels - Metrics and performance," IEEE Trans. Commun., vol. 42, pp. 76-89, Jan. 1994.
9. G. Covalope and R. Raheli, "Noncoherent sequence detection," IEEE Trans. Commun., vol. 47, pp. 1376-1385, Sept. 1999.
10. G. Covalope, G. Ferrar, and R. Raheli, "Noncoherent iterative (turbo) decoding," IEEE Trans. Commun., vol. 48, pp. 1488-1498, Sept. 2000.
11. I. D. Marsland and P. T. Mathiopoulos, "On the performance of iterative noncoherent detection of coded M-PSK signals," IEEE Trans. Commun., vol. 48, pp. 588-596, Apr. 2000.
12. M. Peleg and S. Shamai (Shitz), "On the capacity of the blockwise incoherent MPSK channel ," IEEE Trans. Inform. Theory, vol. 46, pp. 603-609, May 1998.
13. M. Peleg and S. Shamai (Shitz), "Iterative decoding of coded and interleaved noncoherent multiple symbol detected DPSK," Electron. Lett., vol. 33, no. 12, pp. 1018-1020, June 1997.
14. M. Peleg, S. Shamai (Shitz), and S. Galán, "Iterative decoding for coded noncoherent MPSK communications over phase-noisy AWGN channel," Proc. Inst. Elec. Eng. - Commun., vol. 147, no. 2, pp. 87-95, Apr. 2000.
15. G. Covalope and R. Raheli, "The capacity of noncoherent channels," Europ. Trans. Telecommun., vol. 12, no. 4, pp. 289-296, July/Aug. 2001.
16. R. Palanki, "On the capacity achieving distributions of some fading channels," in Proc. 40th Annu. Allerton Conf. Communication, Control, and Computing, Monticello, IL, Oct. 2-4, 2002.
17. 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.
18. J. G. Smith, "The information capacity of amplitude and variance constrained scalar Gaussian channels," Inform. Contr., vol. 18, pp. 203-219, 1971.
19. 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.
20. T. H. Chan, S. Hranilovic, and F. R. Kschischang, "Capacity achieving probability measure of an input-bounded vector Gaussian channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, June/July 2003, p. 371.
21. W. Oettli, "Capacity-achieving input distributions for some amplitude-limited channels with additive noise," IEEE Trans. Inform. Theory, vol. IT-20, pp. 372-374, May 1974.
22. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
23. I. C. Abou-Faycal, M. D. Trott, and S. Shamai (Shitz), "The capacity of discrete-time memoryless Rayleigh-fading channels," IEEE Trans. Inform. Theory, vol. 47, pp. 1290-1301, May 2001.
24. M. C. Gursoy, H. V. Poor, and S. Verdú, "Efficient signaling for low-power Rician fading channels," in Proc. 40th Annu. Allerton Conf. Communication, Control, and Computing, Monticello, IL, Oct. 2-4, 2002.
25. M. C. Gursoy, H. V. Poor, and S. Verdú, "On the capacity-achieving distribution of the noncoherent Rician fading channel," in Proc. 2003 Canadian Workshop on Information Theory, Waterloo, ON, Canada, May 18-21, 2003.
26. M. C. Gursoy, H. V. Poor, and S. Verdú, "The noncoherent Rician fading channel - Part I : Structure of the capacity achieving input; Part II: Spectral efficiency in the low power regime," IEEE Trans. Wireless Commun., to be published.
27. A. Das, "Capacity-achieving distributions for non-Gaussian additive noise channels," in Proc. IEEE Int. Symp. Information Theory, Sorrento, Italy, June 25-30, 2000, p. 432.
28. P. Hou, B. Belzer, and T. R. Fischer, "Shaping gain of partially coherent additive white Gaussian noise channel," in Proc. Conf. Information Sciences and Systems, Princeton, NJ, Mar. 15-17, 2000, pp. wp6-17-wp6-22.
29. P. Hou, B. Belzer, and T. R. Fischer, "Shaping gain of the partially coherent additive white Gaussian noise channel," IEEE Commun. Lett., vol. 6, pp. 175-177, May 2002.
30. B. J. Belzer, A. D. Risley, P. Hou, and T. R. Fischer, "Capacity of AM-PSK on partially coherent fading channels," IEEE Trans. Commun., vol. 50, pp. 369-373, Mar. 2002.
31. M. Katz, "On the capacity-achieving distribution of the discrete-time non-coherent and partially-coherent additive white Gaussian noise channels," M.Sc. thesis, Technion-Israel Inst. Technol., Haifa, Israel, 2002.
32. D. G. Luenberger, Optimization by Vector Space Methods. New York: Wiley, 1969.
33. G. F. Carrier, M. Krook, and C. E. Pearson, Functions of a Complex Variable: Theory and Technique. New York: McGraw-Hill, 1966.
34. A. D. Poularikas, The Transforms and Applications Handbook. Piscataway, NJ: IEEE Press, 2000.
35. I. N. Sneddon, The Use of Integral Transforms. New York: McGraw-Hill, 1972.
36. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1952.
37. A. D. Wyner, "Bounds on communication with polyphase coding," Bell Syst. Tech. J., pp. 523-559, Apr. 1966.
38. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inform. Theory, vol. 48, pp. 1319-1343, June 2002.
39. R. E. Blahut, "Computation of channel capacity and rate-distortion functions," IEEE Trans. Inform. Theory, vol. IT-18, pp. 460-473, July 1972.
40. S. Arimoto, "An algorithm for computing the capacity of arbitrary discrete memoryless channels," IEEE Trans. Inform. Theory, vol. IT-18, pp. 14-20, Jan. 1972.
41. G. Taricco and M. Elia, "Capacity of fading channel with no side information," Electron. Lett., vol. 33, no. 16, pp. 1368-1370, July 1997.
42. I. Csiszár and J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems. Budapest, Hungary: Akadémiai Kiadó, 1986.
43. P. Hou, B. Belzer, and T. R. Fischer, "On the capacity of the parially coherent additive white Gaussian noise channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, June-July 2003, p. 372.
44. R. Nuriyev and A. Anastasopoulos, "Capacity characterization for the noncoherent block-independent AWGN channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, June/July 2003, p. 373.
45. M. Loève, Probability Theory. New York: Van Nostrand, 1963.
46. S. Lang, Complex Analysis, 3rd ed. New York: Springer-Verlag, 1993.