Optimum level set estimation of a time-varying random field under a power constraint

Zuoen Wang, Jingxian Wu, Jing Yang, Hai Lin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Level set estimation (LSE) is the process of using noisy observations of an unknown function to estimate the region(s) where the function values lie above a given threshold. It has a wide range of applications in many scientific and engineering areas, such as spectrum sensing or environment monitoring. In this paper, we study the optimum LSE of a time-varying random field under a total power constraint. A sensor performs uniform sampling of the random field and sends the samples to a fusion center, which estimates the level set by using distorted observations of the samples. Under a total power constraint, a higher sampling rate means less energy per sample, which may negatively impact the estimation performance, but also a stronger correlation between adjacent samples, which can improve the estimation accuracy. Thus it is critical to identify the optimum sampling rate that can minimize the LSE error provability. With the help of a Gaussian process (GP) prior model, we first develop an optimum LSE algorithm based on GP regression. The exact analytical LSE error probability of the LSE algorithm is then derived by considering a number of factors, such as the power consumptions of both sensing and transmission, the power constraint of the sensor, the sampling rate, and the probability distributions of the random field. To simplify analysis, we also obtain a closed-form upper bound of the LSE error probability. The optimum sampling rate is identified by using the analytical error probabilities.

Original languageEnglish (US)
Title of host publication2015 IEEE Global Communications Conference, GLOBECOM 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479959525
DOIs
StatePublished - 2015
Event58th IEEE Global Communications Conference, GLOBECOM 2015 - San Diego, United States
Duration: Dec 6 2015Dec 10 2015

Publication series

Name2015 IEEE Global Communications Conference, GLOBECOM 2015

Other

Other58th IEEE Global Communications Conference, GLOBECOM 2015
CountryUnited States
CitySan Diego
Period12/6/1512/10/15

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering
  • Communication

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    Wang, Z., Wu, J., Yang, J., & Lin, H. (2015). Optimum level set estimation of a time-varying random field under a power constraint. In 2015 IEEE Global Communications Conference, GLOBECOM 2015 [7417745] (2015 IEEE Global Communications Conference, GLOBECOM 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GLOCOM.2014.7417745