Scaling laws for one- and two-dimensional random wireless networks in the low-attenuation regime

IEEE Transactions on Information Theory

Volumn 53, Issue 10, 2007, Pages 3573-3585

  Özgür, Ayfer ^a   Lévêque, Olivier ^a   Preissmann, Emmanuel ^b  

^a EPFL   (Switzerland)

^b Lycée de Meylan   (France)

Author keywords

Ad hoc networks; Cauchy matrix; Cut set bound; Multiple input multiple output (MIMO) channel; Scaling laws; Transport capacity; Wireless networks

Indexed keywords

AD HOC NETWORKS; SCALING LAWS;

CAUCHY MATRIX; CUT-SET BOUND; MULTIPLE-INPUT MULTIPLE-OUTPUT CHANNEL; TRANSPORT CAPACITY;

WIRELESS NETWORKS;

EID: 35148879492     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.904979     Document Type: Article

References (14)

1. P. Gupta and P. R. Kumar, "The capacity of wireless networks," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 388-404, Mar. 2000.
2. L.-L. Xie and P. R. Kumar, "Network information theory for wireless communications: Scaling laws and optimal operation," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 748-767, May 2004.
3. A. Jovicic, S. R. Kulkarni, and P. Viswanath, "Upper bounds to transport capacity of wireless networks," IEEE Trans. Inf. Theory vol. 50, no. 11, pp. 2555-2565, Nov. 2004.
4. O. Lévêque and I. E. Telatar, "Information theoretic upper bounds on the capacity of large, extended ad-hoc wireless networks," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 858-865, Mar. 2005.
5. L.-L. Xie and P. R. Kumar, "On the path-loss attenuation regime for positive cost and linear scaling of transport capacity in wireless networks," IEEE Trans. Inf. Theory, vol. 52, no. 6, pp. 2313-2328, Jun. 2006.
6. D. N. C. Tse and P. Viswanath, Fundamentals of Wireless Communication Cambridge, U.K.: Cambridge Univ. Press, 2005.
7. O. Lévêque and E. Preissmann, "Scaling laws for one-dimensional ad hoc wireless networks," IEEE Trans. Inf. Theory, vol. 51, no. 11, pp. 3987-3991, Nov. 2005.
8. H. Weyl, The Classical Groups, their Invariants and Representations Princeton, NJ: Princeton Univ. Press, 1939.
9. A. Özgür and O. Lévêque, "Scaling laws for two-dimensional random ad-hoc wireless networks," in Proc. Int. Zurich Seminar on Communications, Zurich, Switzerland, Feb. 2006.
10. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applicaitons. London, U.K.: Academic, 1979.
11. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
12. M. Habib, C. McDiarmid, J. Ramizez-Alfonsin, and B. Reed, Probabilistic Methods for Algorithmic Discrete Mathematics. New York: Springer, 1998.
13. F. Oberhettinger, Tables of Fourier Transforms and Fourier Transforms of Distributions. Berlin, Germany: Springer-Verlag, 1990.
14. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions Washington, DC: Nat. Bur. Stand., 1966.