Electrical and Computer Engineering ETDs


Steven Cutlip

Publication Date



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.

Document Type




Degree Name

Electrical Engineering

Level of Degree


Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Hayat, Majeed

Second Committee Member

Fierro, Rafael