A coordinate system for gaussian networks

IEEE Transactions on Information Theory

Volumn 58, Issue 2, 2012, Pages 721-733

  Abbe, Emmanuel ^a   Zheng, Lizhong ^b  

^a EPFL   (Switzerland)

^b Massachusetts Institute of Technology   (United States)

Author keywords

Broadcast channel; Gaussian channels; Hermite polynomials; Information geometry; Interference; Network information theory

Indexed keywords

BROADCAST CHANNELS; GAUSSIAN CHANNELS; HERMITE POLYNOMIALS; INFORMATION GEOMETRY; NETWORK INFORMATION THEORY;

FADING CHANNELS; GAUSSIAN NOISE (ELECTRONIC); INFORMATION THEORY; INTERFERENCE SUPPRESSION; POLYNOMIALS; SIGNAL INTERFERENCE; WAVE INTERFERENCE;

GAUSSIAN DISTRIBUTION;

EID: 84856912623     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2011.2169536     Document Type: Article

References (24)

1. E. Abbe, Global Properties of the Hermite Coordinate System. 2009.
2. E. Abbe and L. Zheng, "Linear universal decoding: A local to global geometric approach," IEEE Trans. Inf. Theory, 2008, submitted for publication.
3. V. S. Annapureddy and V. V. Veeravalli, "Gaussian interference network: sum capacity in the low interference regime and new outer bounds on the capacity region," IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3032-3050, Jul. 2009.
4. I. N. Andersen, "Sample-whitened matched filters," IEEE Trans. Inf. Theory, vol. IT-19, no. 5, pp. 653-660, Sep. 1973.
5. D. Arnold and H.-A. Loeliger, "On the information rate of binary-input channels with memory," in Proc. 2001 IEEE Int. Conf. on Communications, Helsinki, Finland, Jun. 11-14, 2001, pp. 2692-2695.
6. D. Arnold, H.-A. Loeliger, P. O. Vontobel, A. Kavcic, and W. Zeng, "Simulation-based computation of information rates for channels with memory," IEEE Trans. Inf. Theory, vol. 52, no. 8, pp. 3498-3508, Aug. 2006.
7. S. Artstein, K. Ball, F. Barthe, and A. Naor, "Solution of shannon's problem on the monotonicity of entropy," J. Amer. Math. Soc., vol. 17, no. 4, pp. 975-982, 2004.
8. A. R. Barron, "Entropy and the central limit theorem," Ann. Probabil., vol. 14, pp. 336-342, 1986.
9. L. D. Brown, "A proof of the central limit theorem motivated by the Cramér-Rao inequality," in In Statistics and Probability: Essays in Honor of C. R. Rao, Amsterdam, The Netherlands, 1982, pp. 141-148.
10. E. Calvo, J. Fonollosa, and J. Vidal, "The totally asynchronous interference channel with single-user receivers," in ISIT 2009, Seoul.
11. M. Costa, "On the Gaussian interference channel," IEEE Trans. Inf. Theory, vol. IT-31, pp. 607-615, Sep. 1985.
12. T. M. Cover, "Comments on broadcast channel," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2524-2530, Oct. 1998.
13. T. M. Cover and J.A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
14. W. Feller, An Introduction to Probability Theory and its Applications. New York, Sydney: Wiley, 1966, vol. II.
15. G. D. Fomey, "Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference," IEEE Trans. Inf. Theory, vol. IT-18, no. 3, pp. 363-378, May 1972.
16. M. Madiman and A. R. Barron, "Generalized entropy power inequalities and monotonicity properties of information," IEEE Trans. Inf. Theory, vol. 53, no. 7, pp. 2317-2329, Jul. 2007.
17. A. S. Motahari and A. K. Khandani, Capacity Bounds for the Gaussian Interference Channel 2008, CoRR abs/0801.1306.
18. S. S. Shamai (Shitz) and R. Laroia, "The intersymbol interference channel: Lower bounds on capacity and channel precoding loss," IEEE Trans. Inf. Theory, vol. 42, pp. 1388-1404, Sep. 1996.
19. S. S. Shamai (Shitz), L. H. Ozarow, and A. D. Wyner, "Information rates for a discrete-time Gaussian channel with intersymbol interference and stationary inputs," IEEE Trans. Inf. Theory, vol. 37, no. 6, pp. 1527-1539, Nov. 1991.
20. X. Shang, G. Kramer, and B. Chen, "Outer bound and noisy-interference sum-rate capacity for symmetric Gaussian interference channels," CISS, pp. 385-389, 2008.
21. A. J. Stam, "Some inequalities satisfied by the quantities of information of Fisher and Shannon," Inf. Contr., vol. 2, pp. 101-112, 1959.
22. D. W. Stroock, A Concise Introduction to the Theory of Integration, 3d ed. Boston, MA: Birkhäuser, 1999.
23. G. Szegö, Orthogonal Polynomials, 4th ed. Providence, RI: AMS, 1975, vol. 23.
24. D. Tuninetti and S. Shamai, "On two-user fading Gaussian broadcast channels with perfect channel state information at the receivers," in Int. Symp. Inf. Theory (ISIT), 2003.