Information-theoretic upper bounds on the capacity of large extended ad hoc wireless networks

IEEE Transactions on Information Theory

Volumn 51, Issue 3, 2005, Pages 858-865

  Lévêque, Olivier ^a   Telatar, I Emre ^a  

^a EPFL   (Switzerland)

Author keywords

Ad hoc networks; Capacity; Cut set bound; Eigen values; Random matrices

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC WAVE ATTENUATION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; TELECOMMUNICATION NETWORKS; THEOREM PROVING; VECTORS; WHITE NOISE; WIRELESS TELECOMMUNICATION SYSTEMS;

AD HOC NETWORKS; ADDITIVE WHITE GAUSSIAN NOISE; CUT SET BOUND; RANDOM MATRICES; WIRELESS NETWORKS;

CHANNEL CAPACITY;

EID: 15044364840     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.842576     Document Type: Article

References (9)

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. P. R. Kumar and L.-L. Xie, "A 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. P. Gupta and P. R. Kumar "Internets in the sky: The capacity of three dimensional wireless networks," Commun. Inf. Syst., vol. 1, no. 1, pp. 33-50, 2001.
4. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
5. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, no. 6, pp. 585-595, 1999.
6. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications, ser. Mathematics in Science and Engineering. New York-London: Academic, 1979, vol. 143.
7. W. Hoeffding, "Probability inequalities for sums of bounded random variables," J. Amer. Statist. Assoc., vol. 58, pp. 13-30, 1963.
8. F. Oberhettinger, Tables of Fourier Transforms and Fourier Transforms of Distributions. Berlin, Germany: Springer-Verlag, 1990.
9. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions Washington, DC: Nat. Bur. Stds., 1966.