A GENERALIZED STATISTICALLY OPTIMUM VELOCITY-INERTIAL SYSTEM
Abstract
The variational calculus techniques of WienerKolmogoroff optimum filter theory are used to develop the statistically optimum form of a generalized hybrid velocity-inertial system which may be used for a wide range of applications including any linear combination of acceleration, velocity, or vertical-reference sensing. The form of the system considered encompasses pure inertial, pure doppler, and a large family of doppler-inertial hybrid systems. The general system form is developed by employing two unspecified filters to mix the inertially derived signal with the signal from the auxiliary velocity sensor. The algebraic sum of the two unspecified filter transfer functions must total unity at all frequencies if dynamic errors due to vehicle motion are to be avoided. With this restriction and through consideration of the general syste , a single general error equation is found which represents the system error for each of the above system forms and applications. The generalized system representation is further developed by removing the previous restriction on the filter transfer functions, thus allowing forced dynamic errors and their effects on system performance to be considered. These dynamically nonexact systems can be studied within the generalized framework without modifying the principles involved. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1961
- Accession Number
- AD0254612
Entities
People
- William A. Porter
Organizations
- University of Michigan