Date of Award

3-2006

Document Type

Thesis

Degree Name

Master of Science

Department

Department of Mathematics and Statistics

First Advisor

Matthew C. Fickus, PhD

Abstract

In order to estimate the position and velocity of a target, most multistatic radar systems require multiple independent target measurements, such as angle-of-arrival, time-of-arrival, and Doppler information. Though inexpensive and reliable, Doppler-only systems have not been widely implemented due to the inherent nonlinear problem of determining a target’s position and velocity from their measurements. We solve this problem. In particular, we first establish the lack of observability in the Doppler-only bistatic system, thereby demonstrating the need for multiple transmitters and/or receivers. Next, for a multistatic system with a sufficient number of transmitter-receiver pairs, we invoke classical optimization techniques, such as gradient-descent and Newton’s method, to quickly and reliably find a numerical solution to the system of nonlinear Doppler equations. Finally, we indicate a best design for the transmitter-receiver constellation to be employed in the aforementioned optimization.

AFIT Designator

AFIT-GAM-ENC-06-01

Comments

Page 88 (author vitae) is not included in this copy.

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