Indian Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access

Stochastic Geometry and its Application in Calculating Transmission Capacity of Wireless ad hoc Networks


Affiliations
1 Department of mathematics, Mahshahr branch, Islamic Azad University, Mahshahr
2 Department of electrical engineering, Mahshahr branch, Islamic Azad University, Mahshahr
 

In this paper we analysed a special kind of wireless ad hoc networks. The elements of this network are distributed according to marked Poisson point processes in the plan so as to derive the characteristics of this network we use stochastic geometry. We assume that the channel between receivers and transmitters varies according to a gamma distribution and based on this assumption we model our network. The main topic of study in this issue is transmission capacity so we focus on it as well using some other related terms we try to find some bounds for it. Our work shows that different assumptions of channel variation in wireless ad hoc networks must be carried by precise calculation because of the complication of transmission capacity.

Keywords

Ad hoc Networks, Outage Probability, Stochastic Geometry, Transmission Capacity, Wireless Networks
User

  • Gupta P and P Kumar (2000) The capacity of wireless networks. IEEE Trans. Info. Theory. 46(2), 388-404.

  • Stoyan D, Kendall W and Mmecke J (1996) Stochastic geometry and its applications, 2nd edition. John Wiley & Sons.

  • Weber S, Yang X, Andrews J and Vaciana GD (2005) Transmission capacity of wireless ad hoc networks with outage constraint. IEEE Trans. Info. Theory. 51(12), 4091-4102.

  • Weber S, Andrews J and Jindal N (2007) The effect of fading, channel inversion, and threshold scheduling on ad hoc networks. IEEE Trans. Info. Theory. 53(11), 4127-4149.

  • Weber S and Andrew J (2006) An stochastic geometry approach to wide bound wireless ad hoc networks with channel variations. Proc. 2nd Workshop on Spatial Stochastic Models for Wireless Networks (SpaSWiN), Boston, MA.

  • Weber S, Andrew J and Jindal N (2010) An overview of the transmission capacity of wireless networks. IEEE Trans. Commun. 58(12.

  • Andrews JG, Weber S and Haenggi M (2007) Ad hoc networks: To spread or not to spread? IEEE Commun. Magaz. 45, 84–91.

  • Weber S, Andrews J, Yang X and Veciana GD (2007) Transmission capacity of wireless ad hoc networks with successive interference cancellation. IEEE Trans. Info. Theory. 53, 2799–2814,

  • Baccelli F, Blaszczyszyn B and Muhlethaler P (2006) An ALOHA protocol for multihop mobile wireless networks. IEEE Trans. Info. Theory. 52(2), 421–436.


Abstract Views: 470

PDF Views: 139




  • Stochastic Geometry and its Application in Calculating Transmission Capacity of Wireless ad hoc Networks

Abstract Views: 470  |  PDF Views: 139

Authors

Farhad Asgari
Department of mathematics, Mahshahr branch, Islamic Azad University, Mahshahr
Saheb Aghajari
Department of electrical engineering, Mahshahr branch, Islamic Azad University, Mahshahr

Abstract


In this paper we analysed a special kind of wireless ad hoc networks. The elements of this network are distributed according to marked Poisson point processes in the plan so as to derive the characteristics of this network we use stochastic geometry. We assume that the channel between receivers and transmitters varies according to a gamma distribution and based on this assumption we model our network. The main topic of study in this issue is transmission capacity so we focus on it as well using some other related terms we try to find some bounds for it. Our work shows that different assumptions of channel variation in wireless ad hoc networks must be carried by precise calculation because of the complication of transmission capacity.

Keywords


Ad hoc Networks, Outage Probability, Stochastic Geometry, Transmission Capacity, Wireless Networks

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i7%2F30496