The effect of fading, channel inversion, and threshold scheduling on Ad Hoc networks

IEEE Transactions on Information Theory

Volumn 53, Issue 11, 2007, Pages 4127-4149

  Weber, Steven ^a   Andrews, Jeffrey G ^b   Jindal, Nihar ^c  

^a Drexel University   (United States)

^b The University of Texas at Austin   (United States)

^c University of Minnesota   (United States)

Author keywords

Ad hoc networks; Channel inversion; Fading; Threshold scheduling; Transmission capacity (TC)

Indexed keywords

AD HOC NETWORKS; CHANNEL STATE INFORMATION; PROBABILITY; SIGNAL INTERFERENCE;

CHANNEL INVERSION; OUTAGE PROBABILITY; SIGNAL-TO-INTERFERENCE LEVEL; TRANSMISSION CAPACITY;

FADING CHANNELS;

EID: 36349017876     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2007.907482     Document Type: Article

References (37)

1. S. Weber, X. Yang, J. G. Andrews, and G. de Veciana, "Transmission capacity of wireless ad hoc networks with outage constraints," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4091-4102, Dec. 2005.
2. J. Venkataraman, M. Haenggi, and O. Collins, "Shot noise models for the dual problems of cooperative coverage and outage in random networks," in Proc. 44th Annu. Allerton Conf. Communications, Control and Computing, Monticello, IL, Sep. 2006.
3. R. K. Ganti and M. Haenggi, "Regularity, interference, and capacity of large ad hoc networks," in Proc. IEEE Asilomar Conf. Signals, Systems and Computers, Pacific Grove, CA, Oct. 2006, pp. 3-7.
4. S. Weber, J. G. Andrews, X. Yang, and G. de Veciana, "Transmission capacity of wireless ad hoc networks with successive interference cancellation," IEEE Trans. Inf. Theory, vol. 53, no. 8, pp. 2799-2814, Aug. 2007.
5. A. Hasan and J. G. Andrews, "The guard zone in wireless ad hoc networks," IEEE Trans. Wireless Commun., to be published.
6. P. Gupta and P. Kumar, "The capacity of wireless networks," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 388-404, Mar. 2000.
7. A. Jovicic, P. Viswanath, and S. R. Kulkarni, "Upper bounds to transport capacity of wireless networks," IEEE Trans. Inf. Theory vol. 50, no. 11, pp. 2555-2565, Nov. 2004.
8. L. Xie and P. R. Kumar, "A network information theory for wireless communication: Scaling laws and optimal operation," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 748-767, May 2004.
9. F. Xue, L. Xie, and P. R. Kumar, "The transport capacity of wireless networks over fading channels," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 834-847, Mar. 2005.
10. 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.
11. F. Xue and P. R. Kumar, Scaling Laws for ad hoc Wireless Networks: An Information Theoretic Approach, ser. Foundations and Trends in Networking. Hanover, MA: Now Publishers, 2006.
12. A. Özgür, O. Lévêque, and D. N. C. Tse, "Hierarchical cooperation achieves optimal capacity scaling in ad hoc networks," IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3549-3572, Oct. 2006.
13. E. S. Sousa and J. A. Silvester, "Optimum transmission ranges in a direct-sequence spread-spectrum multihop packet radio network," IEEE J. Sel. Areas Commun., vol. 8, no. 5, pp. 762-771, Jun. 1990.
14. J. Ilow and D. Hatzinakos, "Analytic alpha-stable noise modeling in a Poisson field of interferers or scatterers," IEEE Trans. Signal Process., vol. 46, no. 6, pp. 1601-1611, Jun. 1998.
15. F. Baccelli, B. Blaszczyszyn, and P. Mühlethaler, "An Aloha protocol for multihop mobile wireless networks," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 421-436, Feb. 2006.
16. P. Levy, Calcul des Probabilites. Paris, France: Gauthier-Villars, 1925.
17. M. Shao and C. L. Nikias, "Signal processing with fractional lower order moments: Stable processes and their applications," Proc. IEEE vol. 81, no. 7, pp. 986-1010, Jul. 1993.
18. A. P. Petropulu, J.-C. Pesquet, X. Yang, and J. Yin, "Power-law shot noise and its relationship to long-memory α-stable processes," IEEE Trans. Signal Process., vol. 48, no. 7, pp. 1883-1892, Jul. 2000.
19. W. Schottky, "Uber Spontane Stromschwankungen in Verschiedenen Elektrizitatsleitern," Ann. Physik, vol. 57, pp. 541-567, 1918.
20. S. B. Lowen and M. C. Teich, "Power-law shot noise," IEEE Trans. Inf. Theory, vol. 36, no. 6, pp. 1302-1318, Nov. 1990.
21. S. O. Rice, "Mathematical analysis of random noise," Bell Syst. Tech. J., vol. 23, pp. 282-332, 1944.
22. J. A. Gubner, "Computation of shot-noise probability distributions and densities," SIAM J. Scient. Comput., vol. 17, no. 3, pp. 750-761, May 1996.
23. S. Musa and W. Wasylkiwskyj, "Co-channel interference of spread spectrum systems in a multiple user environment," IEEE Trans. Commun., vol. COM-26, no. 10, pp. 1405-1413, Oct. 1978.
24. E. S. Sousa, "Interference modeling in a direct-sequence spread-spectrum packet radio network," IEEE Trans. Commun., vol. 38, no. 9, pp. 1475-1482, Sep. 1990.
25. E. S. Sousa, "Performance of a spread spectrum packet radio network link on a Poisson field of interferers," IEEE Trans. Inf. Theory, vol. 38, no. 6, pp. 1743-1754, Nov. 1992.
26. J. Holtsmark, "Uber die Verbreiterung von Sektrallinien," Ann. Physik, vol. 58, no. 4, pp. 577-630, 1919.
27. M. Felegyhazi and J.-P. Hubaux, Game Theory in Wireless Networks: A Tutorial, EPFL Laboratory for Computer Communications and Applications, Lausanne, Switzerland, 2006, Tech. Rep. LCA-REPORT-2006-002.
28. S. Toumpis and A. J. Goldsmith, "Capacity regions for wireless ad hoc networks," IEEE Trans. Wireless Commun., vol. 24, no. 5, pp. 736-748, May 2003.
29. S. Toumpis and A. J. Goldsmith, "Large wireless networks under fading, mobility, and delay constraints," in Proc. IEEE INFOCOM, Hong Kong, Mar. 2004, pp. 609-619.
30. R. Gowaikar, B. Hochwald, and B. Hassibi, "Communication over a wireless network with random connections," IEEE Trans. Inf. Theory submitted for publication.
31. L. Georgiadis, M. J. Neely, and L. Tassiulas, Resource Allocation and Cross-Layer Control in Wireless Networks. Hanover, MA: Foundations and Trends in Networking (NOW), 2006.
32. C. Goldie and C. Kluppelberg, "Subexponential distributions," in A Practical Guide to Heavy Tails: Statistical Techniques for Analysing Heavy Tails, R. Adler, R. Feldman, and M. Taqqu, Eds. Basel, Switzerland: Birkhauser, 1997.
33. R. Corless, G. Gonnet, D. Hare, D. Jeffrey, and D. Knuth, "On the Lambert W function," Adv. Comput. Math., vol. 5, pp. 329-359, 1996.
34. S. Weber and M. Kam, "Computational complexity of outage probability simulations in mobile ad-hoc networks," in Proc. 39th Annu. Conf. Information Sciences and Systems (CISS), Baltimore, MD, Mar. 2005.
35. D. Stoyan, W. Kendall, and J. Mecke, Stochastic Geometry and its Applications, 2nd ed. New York: Wiley, 1996.
36. M. Haenggi, "On distances in uniformly random networks," IEEE Trans. Inf. Theory, vol. 51, no. 10, pp. 3584-3586, Oct. 2005.
37. J. Kingman, Poisson Processes. Oxford, U.K.: Oxford Science, 1993.