Electrical and Computer Engineering ETDs

Publication Date

7-1-2016

Abstract

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.

Keywords

stochastic, plume, measurement sampling, supermartingale, support, tracking, triangulation

Project Sponsors

This material is based upon work supported by the National Science Foundationunder Grant Numbers CMMI-1254990 (CAREER, Oishi), CNS-1329878, and IIS-1528047 and by an AFOSR Space Scholarship (Cutlip). Any opinions, findings, andconclusions or recommendations expressed in this material are those of the authorsand do not necessarily reflect the views of the National Science Foundation.

Document Type

Thesis

Language

English

Degree Name

Electrical Engineering

Level of Degree

Masters

Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Meeko Oishi

Second Committee Member

Majeed Hayat

Third Committee Member

Rafael Fierro

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