REPRESENTATION AND ANALYSIS OF SIGNALS: PART XVIII: VECTOR AND TENSOR ALGEBRA OF SIGNALS APPLIED TO SATELLITE NAVIGATION
Abstract
The basic concepts of signals and linear systems are formulated in terms of finite-dimensional vector algebra. Important ideas, often confused or omitted in classical signal theory, are clarified by the system of notation and nomenclature presented in the dissertation. Measurement and specification are emphasized in the notation as is appropriate to their importance in engineering practice. The theory and notation are extended to finite-dimensional tensor product spaces. The extension to multi-linear systems of the engineer's intuitive knowledge of linear systems is illustrated. The abstract notions are illustrated by application to the familiar problem of time-domain multiplication. The utility of the notation and the tensor product concepts is demonstrated by application to satellite navigation signal processing. Descriptions of feasibility tests on the IBM 7094 and excerpts of results are presented. The results confirm the expected simplicity and indicate a surprisingly high accuracy of the processor designed by the tensor product approach.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 20, 1964
- Accession Number
- AD0603775
Entities
People
- Dan C. Ross
Organizations
- Johns Hopkins University