Capacity bounds via duality with applications to multiple-antenna systems on flat-fading channels

IEEE Transactions on Information Theory

Volumn 49, Issue 10, 2003, Pages 2426-2467

  Lapidoth, Amos ^a   Moser, Stefan M ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Channel capacity; Duality; Fading channels; Flat fading; High signal to noise ratio (SNR); Multiple antenna fading number; Noncentral chi square; Rayleigh fading; Ricean fading; Upper bounds

Indexed keywords

ANTENNAS; BOUNDARY CONDITIONS; DOPPLER EFFECT; OPTIMIZATION; PROBABILITY; RAYLEIGH FADING; SIGNAL TO NOISE RATIO;

FLAT-FADING CHANNELS; MULTIPLE-ANTENNA SYSTEMS; RICEAN FADING; UPPER BOUNDS;

CHANNEL CAPACITY;

EID: 0242270781     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.817449     Document Type: Article

References (39)

1. I. Csiszár and J. Körner, Information Theory: Coding Theorems for Discrete Memoryless Systems. New York: Academic, 1981.
2. F. Topsoe, "An information theoretical identity and a problem involving capacity," Studia Scientiarum Math. Hung., vol. 2, pp. 291-292, 1967.
3. P. Vontobel and D. Arnold, "An upper bound on the capacity of channels with memory and constraint input," in Proc. 2001 IEEE Information Theory Workshop, Cairns, Australia, Sept. 2-7, 2001, pp. 147-149.
4. 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.
5. A. Lapidoth, "On phase noise channels at high SNR," in Proc. 2002 IEEE Information Theory Workshop, Bangalore, India, Oct. 20-25, 2002, pp. 1-4.
6. A. Lapidoth and S. Moser, "The asymptotic capacity of the discrete-time Poisson channel," in Proc. 2003 Winter School on Coding and Information Theory. Ascona, Switzerland, Feb. 24-27, 2003.
7. A. Lapidoth and N. Miliou, "Duality based bounds on the cut-off rate of a discrete-time memoryless Rayleigh fading channel," in Proc. 2003 Winter School on Coding and Information Theory. Ascona, Switzerland, Feb. 24-27, 2003.
8. S. Karlin and W. Studen, Tchebycheff Systems: With Applications in Analysis and Statistics. New York: Wiley, 1966.
9. M. Shaked and J. Shanthikumar, Stochastic Orders and Their Applications. San Diego, CA: Academic, 1994.
10. A. Lapidoth and S. Shamai (Shitz), "Fading channels: How perfect need "perfect side information" be?," IEEE Trans. Inform. Theory, vol. 48, pp. 1118-1134, May 2002.
11. N. Merhav and M. Feder, "A strong version of the redundancy-capacity theorem of universal coding," IEEE Trans. Inform. Theory, vol. 41, pp. 714-722, May 1995.
12. I. Abou-Faycal, M. Trott, and S. Shamai (Shitz), "The capacity of discrete time Rayleigh fading channels," IEEE Trans. Inform. Theory, vol. 47, pp. 1290-1301, May 2001.
13. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
14. A. Sengupta and P. Mitra, "Capacity of multivariate channels with multiplicative noise: I. Random matrix techniques and large-n expansion for full transfer matrices," Bell Labs., Lucent Technologies, Murray Hill, NJ, Tech. Rep., Oct. 2000.
15. G. Taricco and M. Elia, "Capacity of fading channels with no side information," Electron. Lett., vol. 33, pp. 1368-1370, July 31, 1997.
16. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic, 1996.
17. T. Ericson, "A Gaussian channel with slow fading," IEEE Trans. Inform. Theory, vol. IT-16, pp. 353-355, May 1970.
18. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, 1999.
19. R. G. Gallager, Information Theory and Reliable Communication. New York: Wiley, 1968.
20. D. Haussler, "A general minimax result for relative entropy," IEEE Trans. Inform. Theory, vol. 43, pp. 1276-1280, July 1997.
21. I. Vajda, Theory of Statistical Inference and Information. Norwell, MA: Kluwer, 1989.
22. I. Csiszár, "Arbitrarily varying channel with general alphabets and states," IEEE Trans. Inform. Theory, vol. 38, pp. 1725-1742, Nov. 1992.
23. F. D. Neeser and J. L. Massey, "Proper complex random processes with applications to information theory," IEEE Trans. Inform. Theory, vol. 39, pp. 1293-1302, July 1993.
24. N. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, 2nd ed. New York: Wiley, 1995, vol. 1.
25. ____, Continuous Univariate Distributions, 2nd ed. New York: Wiley, 1995, vol. 2.
26. E. L. Lehmann, "Ordered families of distributions," Ann. Math. Statist., vol. 26, pp. 399-419, 1955.
27. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications. New York: Academic, 1979.
28. Y. L. Tong, The Multivariate Normal Distribution. New York: Springer-Verlag, 1990.
29. R. Horn and C. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
30. T. Linder and R. Zamir, "On the asymptotic tightness of the Shannon lower bound," IEEE Trans. Inform. Theory, vol. 40, pp. 2026-2031, Nov. 1994.
31. D. Williams, Probability with Martingales. Cambridge, U.K.: Cambridge Mathematical Textbooks, Cambridge Univ. Press, 1991.
32. M. Costa, "A new entropy power inequality," IEEE Trans. Inform. Theory, vol. IT-31, pp. 751-760, Nov. 1985.
33. A. Dembo, "Simple proof of the concavity of the entropy power with respect to added Gaussian noise," IEEE Trans. Inform. Theory, vol. 35, pp. 887-888, July 1989.
34. C. Villani, "A short proof of the concavity of entropy power," IEEE Trans. Inform. Theory, vol. 46, pp. 1695-1696, July 2000.
35. A. Lapidoth, "On the asymptotic capacity of fading channels," preprint, May 2003, submitted for publication.
36. Ö Oyman, R. Nabar, H. Bölcskei, and A. Paulraj, "Tight lower bounds on the ergodic capacity of Rayleigh fading MIMO channels," in Proc. IEEE GLOBECOM 2002, Taipei, Taiwan, R.O.C., Nov. 2002.
37. T. Marzetta and B. Hochwald, "Capacity of a multiple-antenna communication link in Rayleigh flat fading environment," IEEE Trans. Inform. Theory, vol. 45, pp. 139-157, Jan. 1999.
38. L. Zheng and D. N. C. Tse, "Communication on the Grassmann manifold: A geometric approach to the noncoherent multiple-antenna channel," IEEE Trans. Inform. Theory, vol. 48, pp. 359-383, Feb. 2002.
39. S. Verdú, "Spectral efficiency in the wideband regime," IEEE Trans. Inform. Theory, vol. 48, pp. 1319-1343, June 2002.