Second Workshop on Spatial Stochastic Models for Wireless Networks

Research Article

A stochastic geometry approach to wideband ad hoc networks with channel variations

  • @INPROCEEDINGS{10.1109/WIOPT.2006.1666523,
        author={Steven  Weber and Jeffrey G.  Andrews},
        title={A stochastic geometry approach to wideband ad hoc networks with channel variations},
        proceedings={Second Workshop on Spatial Stochastic Models for Wireless Networks},
        publisher={IEEE},
        proceedings_a={SPASWIN},
        year={2006},
        month={8},
        keywords={},
        doi={10.1109/WIOPT.2006.1666523}
    }
    
  • Steven Weber
    Jeffrey G. Andrews
    Year: 2006
    A stochastic geometry approach to wideband ad hoc networks with channel variations
    SPASWIN
    IEEE
    DOI: 10.1109/WIOPT.2006.1666523
Steven Weber1,*, Jeffrey G. Andrews2,*
  • 1: Drexel University, Dept. of ECE, Philadelphia PA 19104
  • 2: The University of Texas at Austin, Dept. of ECE, Austin TX 78712
*Contact email: sweber@ece.drexel.edu, jandrews@ece.utexas.edu

Abstract

We present a methodology for determining the outage probability of wideband ad hoc networks with random wireless channels. Assuming that the nodes are Poisson distributed and subject to a required SINR constraint, we develop a simple framework that gives upper and lower bounds on the outage probability. These bounds are important in that they can be manipulated to obtain bounds on the transmission capacity, i.e., the maximum permissible spatial density of transmissions ensuring an acceptably low outage probability. In this paper, we derive the outage probability of wireless ad hoc networks under path loss and shadowing, which are the dominant large-scale effects in wideband ad hoc networks. The analytical framework is rooted in stochastic geometry, employing marked point processes, void probabilities, Palm measure, and Campbell’s Theorem.