Second Workshop on Spatial Stochastic Models for Wireless Networks

Research Article

Regularization Energy in Sensor Networks

  • @INPROCEEDINGS{10.1109/WIOPT.2006.1666510,
        author={Radha Krishna  Ganti  and Martin  Haenggi},
        title={Regularization Energy in Sensor Networks},
        proceedings={Second Workshop on Spatial Stochastic Models for Wireless Networks},
        publisher={IEEE},
        proceedings_a={SPASWIN},
        year={2006},
        month={8},
        keywords={},
        doi={10.1109/WIOPT.2006.1666510}
    }
    
  • Radha Krishna Ganti
    Martin Haenggi
    Year: 2006
    Regularization Energy in Sensor Networks
    SPASWIN
    IEEE
    DOI: 10.1109/WIOPT.2006.1666510
Radha Krishna Ganti 1,*, Martin Haenggi1,*
  • 1: Department of Electrical Engineering, University of Notre Dame, Notre Dame, Indiana, USA-46556
*Contact email: rganti@nd.edu, mhaenggi@nd.edu

Abstract

Regularization energy is defined as the energy required to move the points of a homogeneous point process in a bounded set to unique points of a lattice. The optimal mapping required for this movement is derived for one dimensional processes, and bounds are derived for the Poisson point process in one and two dimensions. In addition regularization energy is evaluated for well known point processes in one dimension by simulation.