3 September 1998 Adding measurement dimensions can decrease the probability of correct correlation
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Abstract
A simple experiment is used to empirically show that adding measurement dimensions to the process of determining correct correlation can reduce performance under some conditions. The author noted this effect during the checkout of a complicated model and used an experiment to model the effect more simply. The experiment consist s of two targets located at the same elevation but at differing azimuths. A track file consisting of an azimuth estimate and an elevation estimate is realized for each target. An azimuth and elevation measurement is then realized for each target. There are tow possible ways to uniquely pair the measurements to the tracks. The standard square residual (SSR) scores of the two unique solutions are compared to determine measurement to track assignment. This process is performed many times to create a probability of correct correction (Pcc) value. Two methods are used for the SSR calculation. For the first, azimuth values only are used. For the second, elevation values are included in the SSR calculation. Including elevation reduces the Pcc by 2-3 percent. Additionally, Pcc values vary with the elevation measurement variance. These results are surprising to the author and can be interpreted to mean that adding information to a decision process may in fact degrade the theoretical correctness of the decision. Some excursions to the basic experiment are presented including a case where there is track separation in the elevation direction. Two forms of the underlying mathematics are provided including a case where there is track separation in the elevation direction. Two forms of the underlying mathematics are provided although they are currently intractable to the author. The checkout that was performed to verify this effect is discussed.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John B. Treece, "Adding measurement dimensions can decrease the probability of correct correlation", Proc. SPIE 3373, Signal and Data Processing of Small Targets 1998, (3 September 1998); doi: 10.1117/12.324656; https://doi.org/10.1117/12.324656
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