Gaussian approximation for the wireless multi-access interference distribution

IEEE Transactions on Signal Processing

Volumn 60, Issue 11, 2012, Pages 6114-6120

  Inaltekin, Hazer ^a  

^a ANTALYA INTERNATIONAL UNIVERSITY   (Turkey)

Author keywords

Bounded path loss model; Gaussian approximation; multi access interference; Poisson processes; spatial wireless networks; stochastic geometry

Indexed keywords

GAUSSIAN APPROXIMATIONS; MULTI-ACCESS INTERFERENCE; PATH-LOSS MODEL; POISSON PROCESS; STOCHASTIC GEOMETRY;

POISSON DISTRIBUTION; WIRELESS NETWORKS;

GAUSSIAN DISTRIBUTION;

EID: 84867502598     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2012.2212014     Document Type: Article

References (20)

1. M. Haenggi, J. G. Andrews, F. Baccelli, O. Dousse, and M. Franceschetti, "Stochastic geometry and random graphs for the analysis and design of wireless networks," IEEE J. Sel. Areas Commun., vol. 27, no. 7, pp. 1029-1046, Sept. 2009.
2. M. Haenggi and R. K. Ganti, "Interference in large wireless networks," Found. Trends Netw., vol. 3, no. 2, pp. 127-248, 2009.
3. M. Z. Win, P. C. Pinto, and L. A. Shepp, "A mathematical theory of network interference and its applications," Proc. IEEE, vol. 97, no. 2, pp. 205-230, Feb. 2009.
4. S. P. Weber and J. G. Andrews, "Bounds on the SIR distribution for a class of channel models in ad hoc networks," presented at the 49th IEEE Global Telecommun. Conf., San Francisco, CA, Dec. 2006.
5. H. Inaltekin and S. V. Hanly, "On the rates of convergence of the wireless multi-access interference distribution to the normal distribution," presented at the 6th Workshop Spatial Stoch. Models Wireless Netw., Avignon, France, Jun. 2010.
6. M. Aljuaid and H. Yanikomeroglu, "Investigating the Gaussian convergence of the distribution of the aggregate interference power in large wireless networks," IEEE Trans. Veh. Technol., vol. 59, no. 9, pp. 4418-4424, Nov. 2010.
7. H. Inaltekin, "Gaussian approximation for the wireless multi-access interference distribution and its applications," Antalya Int. Univ., Tech. Rep., 2012 [Online]. Available: http://arxiv.org/abs/1204.3812
8. S. Musa and W. Wasylkiwskyj, "Co-channel interference of spread spectrum systems in a multiple user environment," IEEE Trans. Commun., vol. 26, no. 10, pp. 1405-1413, Oct. 1978. (Pubitemid 9397249)
9. 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, June 1990.
10. E. S. Sousa, "Performance of a spread spectrum packet radio network in a Poisson field of interferers," IEEE Trans. Inf. Theory, vol. 38, no. 6, pp. 1743-1754, Nov. 1992.
11. 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. (Pubitemid 128743929)
12. C. C. Chan and S. V. Hanly, "Calculating the outage probability in a CDMA network with spatial Poisson traffic," IEEE Trans. Veh. Technol., vol. 50, no. 1, pp. 183-204, Jan. 2001. (Pubitemid 32444227)
13. J. A. Gubner, "Computation of shot-noise probability distributions and densities," SIAM J. Sci. Comput., vol. 17, no. 37, pp. 50-761, May 1996.
14. H. Inaltekin, M. Chiang, H. V. Poor, and S. B.Wicker, "On unbounded path-loss models: Effects of singularity on wireless network performance," IEEE J. Sel. Areas Commun., vol. 27, no. 7, pp. 1078-1092, Sep. 2009.
15. R. K. Ganti and M. Haenggi, "Interference and outage in clustered wireless ad hoc networks," IEEE Trans. Inf. Theory, vol. 55, pp. 4067-4086, Sep. 2009.
16. S. B. Lowen and M. C. Teich, "Power-law shot noise," IEEE Trans. Inf. Theory, vol. IT-36, no. 6, pp. 1302-1318, Nov. 1990.
17. L. Heinrich and V. Schmidt, "Normal convergence of multidimensional shot noise and rates of this convergence," Adv. Appl. Probab., vol. 17, no. 4, pp. 709-730, Dec. 1985.
18. J. F. C. Kingman, Poisson Processes. Oxford, U.K.: Clarendon, 1993.
19. I. S. Tyurin, "Refinement of the upper bounds of the constants in Lyapunov's theorem," Commun. Moscow Math. Soc., vol. 65, no. 3, pp. 586-588, 2010.
20. L. Paditz, "On the analytical structure of the constant in the nonuniform version of the Esseen inequality," Statistics, vol. 20, no. 3, pp. 453-464, 1989.