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Optimization of a Generalized Velocity-Inertial System

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2 Author(s)
Porter, W.A. ; Dept. of Elec. Engrg., The University of Michigan, Ann Arbor, Mich. ; Kazda, L.F.

In this paper the variational calculus techniques of the Wiener-Kolmogoroff optimum filter theory are employed to develop the statistically optimum form of a generalized hybrid velocity-inertial system. A velocity-inertial system is considered which is general in both form and application. The form of the system encompasses pure inertial, pure Doppler, and a large family of Doppler- inertial hybrid systems including the present-day second-and thirdorder Doppler inertial navigation and stabilization systems. The system may be used for a wide range of applications including any linear combination of acceleration, velocity, or vertical-reference sensing. The general system form is developed by employing an unspecified filter to mix the inertially derived signal with the signal from the auxiliary velocity sensor. As a result of utilizing this general system form, a single general error equation is found which represents the system error for each of the above system forms and applications. Using a linear analysis and the minimum mean-square error criteria, an optimum system form is found for the complete range of possible system applications.

Published in:

Aerospace and Navigational Electronics, IRE Transactions on  (Volume:ANE-8 ,  Issue: 2 )