NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Ambiguity resolution for satellite Doppler positioning systemsThe implementation of satellite-based Doppler positioning systems frequently requires the recovery of transmitter position from a single pass of Doppler data. The least-squares approach to the problem yields conjugate solutions on either side of the satellite subtrack. It is important to develop a procedure for choosing the proper solution which is correct in a high percentage of cases. A test for ambiguity resolution which is the most powerful in the sense that it maximizes the probability of a correct decision is derived. When systematic error sources are properly included in the least-squares reduction process to yield an optimal solution the test reduces to choosing the solution which provides the smaller valuation of the least-squares loss function. When systematic error sources are ignored in the least-squares reduction, the most powerful test is a quadratic form comparison with the weighting matrix of the quadratic form obtained by computing the pseudoinverse of a reduced-rank square matrix. A formula for computing the power of the most powerful test is provided. Numerical examples are included in which the power of the test is computed for situations that are relevant to the design of a satellite-aided search and rescue system.
Document ID
19790054523
Document Type
Reprint (Version printed in journal)
Authors
Argentiero, P. (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Marini, J. (NASA Goddard Space Flight Center Information Extraction Div., Greenbelt, Md., United States)
Date Acquired
August 9, 2013
Publication Date
May 1, 1979
Publication Information
Publication: IEEE Transactions on Aerospace and Electronic Systems
Volume: AES-15
Subject Category
AIRCRAFT COMMUNICATIONS AND NAVIGATION
Distribution Limits
Public
Copyright
Other