A deterministic approach to throughput scaling in wireless networks

  • Authors:
  • S. R. Kulkarni;P. Viswanath

  • Affiliations:
  • Dept. of Electr. Eng., Princeton Univ., NJ, USA;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2004

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Abstract

We address the problem of how throughput in a wireless network scales as the number of users grows. Following the model of Gupta and Kumar, we consider n identical nodes placed in a fixed area. Pairs of transmitters and receivers wish to communicate but are subject to interference from other nodes. Throughput is measured in bit-meters per second. We provide a very elementary deterministic approach that gives achievability results in terms of three key properties of the node locations. As a special case, we obtain Ω(√n) throughput for a general class of network configurations in a fixed area. Results for random node locations in a fixed area can also be derived as special cases of the general result by verifying the growth rate of three parameters. For example, as a simple corollary of our result we obtain a stronger (almost sure) version of the √n/√(logn) throughput for random node locations in a fixed area obtained by Gupta and Kumar. Results for some other interesting non-independent and identically distributed (i.i.d.) node distributions are also provided.