In this paper we use a simple a model for a stochastically moving plume center and determine sufficient measurement schemes, for three cases of measurement noise, that reduce the support of the plume center's probability distribution. We assume a multivariate gaussian plume that moves according to a stochastic discrete-time stochastic linear time-invariant model. We also assume a measurement function that is a function of proximity to the center of the plume distribution. Using both knowledge of the dynamics and the behaviour of this measurement function a recursive probability distribution was formulated. We then found sufficient measurement schemes that reduce the support of this recursive probability distribution such that the area of the support behaves like a supermartingale.
stochastic, plume, measurement sampling, supermartingale, support, tracking, triangulation
This material is based upon work supported by the National Science Foundation under Grant Numbers CMMI-1254990 (CAREER, Oishi), CNS-1329878, and IIS- 1528047 and by an AFOSR Space Scholarship (Cutlip). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Level of Degree
Electrical and Computer Engineering
First Committee Member (Chair)
Second Committee Member
Cutlip, Steven. "Stochastic Plume Estimation: Measurement Sampling for a Supermartingale Support." (2016). https://digitalrepository.unm.edu/ece_etds/258