The noncoherent Rician fading channel - Part I: Structure of the capacity-achieving input

IEEE Transactions on Wireless Communications

Volumn 4, Issue 5, 2005, Pages 2193-2206

  Gursoy, Mustafa Cenk ^a,b   Poor, H Vincent ^a,c,d,e,f   Verdú, Sergio ^a,c  

^a IEEE   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

^c Princeton University   (United States)

^d PRINCETON UNIVERSITY   (United States)

^e NATIONAL ACADEMY OF ENGINEERING   (United States)

^f OPTICAL SOCIETY OF AMERICA   (United States)

Author keywords

Capacity achieving input; Channel capacity; Fading channels; Memoryless fading; Peak constraints; Phase noise; Rician fading

Indexed keywords

FADING CHANNELS; MEMORYLESS FADING; PEAK CONSTRAINTS; PHASE NOUSE; RICIAN FADING;

AMPLITUDE MODULATION; CHANNEL CAPACITY; PHASE MODULATION; SIGNAL PROCESSING; SIGNAL TO NOISE RATIO; TRANSMITTERS;

FADING (RADIO);

EID: 28444482117     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2005.853970     Document Type: Article

References (34)

1. M. C. Gursoy, H. V. Poor, and S. Verdú. (2002). "The capacity of the noncoherent Rician fading channel," Princeton Univ., Princeton, NJ, Tech. Rep. 70. [Online]. Available: http://www.ee.unl.edu/people/gursoy.html
2. _, "The noncoherent Rician fading channel - Part D: Spectral efficiency in the low-power regime," IEEE Trans. Wireless Commun., vol. 4, no. 5, pp. 2207-2221, Sep. 2005.
3. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inf. Theory, vol. 48, no. 6, pp. 1319-1343, Jun. 2002.
4. R. S. Kennedy, Fading Dispersive Communication Channels. New York: Wiley-Interscience, 1969.
5. J. S. Richters, "Communication over fading dispersive channels," MIT Res. Lab. Electron., Cambridge, MA, Tech. Rep. 464, Nov. 1967.
6. J. G. Smith, "The information capacity of peak and average power constrained Gaussian channels," Inf. Control, vol. 18, pp. 203-219, 1971.
7. S. Shamai and I. Bar-David, "The capacity of average and peak-power-limited quadrature Gaussian channels," IEEE Trans. Inf. Theory, vol. 41, no. 4, pp. 1060-1071, Jul. 1995.
8. I. Abou-Faycal, M. D. Trott, and S. Shamai, "The capacity of discrete-time memoryless Rayleigh fading channels," IEEE Trans. Inf. Theory, vol. 47, no. 4, pp. 1290-1301, May 2001.
9. M. Katz and S. Shamai, "On the capacity-achieving distribution of the discrete-time non-coherent and partially-coherent AWGN channels," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2257-2270, 2004.
10. _, "On the capacity-achieving distribution of the discrete-time non-coherent additive white Gaussian noise channel," in Proc. IEEE Int. Symp. Information Theory, Lausanne, Switzerland, Jun. 30-Jul. 5, 2002, p. 165.
11. S. Shamai, "On the capacity of a pulse amplitude modulated direct detection photon channel," Proc. Inst. Elect. Eng., vol. 137, pt. I, pp. 424-430, Dec. 1990.
12. A. Das, "Capacity-achieving distributions for non-Gaussian additive noise channels," in Proc. IEEE Int. Symp. Information Theory, Sorrento, Italy, Jun. 25-30, 2000, p. 432.
13. R. Nuriyev and A. Anastasopoulos, "Capacity characterization for the noncoherent block-independent AWGN channel," in Proc. IEEE Int. Symp. Information Theory, Yokohama, Japan, Jun. 29-Jul. 4, 2003, p. 373.
14. J. Huang and S. P. Meyn, "Characterization and computation of optimal distributions for channel coding," IEEE Trans. Inf. Theory, vol. 51, no. 7, pp. 2336-2351, Jul. 2005.
15. T. L. Marzetta and B. M. Hochwald, "Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading," IEEE Trans. Inf. Theory, vol. 45, no. 1, pp. 139-157, Jan. 1999.
16. A. Lapidoth, "Capacity bounds via duality: A phase noise example," in Workshop Concepts Information Theory, Breisach, Germany, Jun. 26-28, 2002, pp. 58-61.
17. _, "On phase noise channels at high SNR," in IEEE Information Theory Workshop, Bangalore, India, Oct. 20-25, 2002, pp. 1-4.
18. A. Lapidoth and S. M. Moser, "Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2426-2467, Oct. 2003.
19. M. Médard and R. G. Gallager, "Bandwidth scaling for fading multipath channels," IEEE Trans. Inf. Theory, vol. 48, no. 4, pp. 840-852, Apr. 2002.
20. V. G. Subramanian and B. Hajek, "Broad-band fading channels: Signal burstiness and capacity," IEEE Trans. Inf. Theory, vol. 48, no. 4, pp. 809-827, Apr. 2002.
21. I. E. Telatar and D. N. C. Tse, "Capacity and mutual information of wideband multipath fading channels," IEEE Trans. Inf. Theory, vol. 46, no. 4, pp. 1384-1400, Jul. 2000.
22. E. Biglieri, J. Proakis, and S. Shamai, "Fading channels: Information-theoretic and communications aspects," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2619-2692, Oct. 1998.
23. R. Palanki, "On the capacity achieving distributions of some fading channels," in 40th Annu. Allerton Conf. Communication, Control, and Computing, Monticello, IL, Oct. 2-4, 2002, pp. 337-346.
24. A. J. Goldsmith and P. P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inf. Theory, vol. 43, no. 6, pp. 1986-1992, Nov. 1997.
25. G. Caire and S. Shamai, "On the capacity of some channels with channel state information," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2007-2019, Sep. 1999.
26. M. Médard and A. J. Goldsmith, "Capacity of time-varying channels with channel side information," in Proc. IEEE Int. Symp. Information Theory, Ulm, Germany, Jun. 29-Jul. 4 1997, p. 372.
27. M. Médard, "The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of channel," IEEE Trans. Inf. Theory, vol. 46, no. 3, pp. 933-946, May 2000.
28. R. B. Ash, Information Theory. New York: Dover, 1990.
29. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
30. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
31. W. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1964.
32. K. Knopp, Theory of Functions. New York: Dover, 1945.
33. S. Lang, Complex Analysis, 2nd ed. New York: Springer-Verlag, 1985.
34. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1958.