English

Sensing Capacity for Markov Random Fields

Information Theory 2016-11-17 v1 math.IT

Abstract

This paper computes the sensing capacity of a sensor network, with sensors of limited range, sensing a two-dimensional Markov random field, by modeling the sensing operation as an encoder. Sensor observations are dependent across sensors, and the sensor network output across different states of the environment is neither identically nor independently distributed. Using a random coding argument, based on the theory of types, we prove a lower bound on the sensing capacity of the network, which characterizes the ability of the sensor network to distinguish among environments with Markov structure, to within a desired accuracy.

Keywords

Cite

@article{arxiv.cs/0508054,
  title  = {Sensing Capacity for Markov Random Fields},
  author = {Yaron Rachlin and Rohit Negi and Pradeep Khosla},
  journal= {arXiv preprint arXiv:cs/0508054},
  year   = {2016}
}

Comments

To appear in the proceedings of the 2005 IEEE International Symposium on Information Theory, Adelaide, Australia, September 4-9, 2005