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Proceedings Paper

Single-look tracking noise for intensity and binary centroiding algorithms for resolved targets and performance comparison between shared- and separate-aperture active tracking
Author(s): Lothar W. Bandermann; Robin B. Kwong
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Paper Abstract

Expressions are derived for the single look tracking noise (SLTN) for an unthresholded intensity centroid algorithm and a binary centroid with a lower threshold. The SLTN is defined as the rss value of the rms errors due to (1) photoelectron statistics, (2) background in the tracking gate, and (3) non-coincidence of the object boundaries and the focal plane array (FPA) detector pixels. The expressions, eqs. (27) and (28) below, are applied to typical directed energy weapon scenarios where the objects are pulse-illuminated distant, Lambertian targets. We find for both algorithms that the SLTN decreases with increasing illuminator energy to a terminal value set by the boundary mismatch error (3) above, but for a fixed illumination and pixel footprint on the target this error is smaller for the intensity algorithm. For each algorithm, the footprint can be optimized to obtain a minimal SLTN, and in the cases studied the binary SLTN was consistently lower than the intensity SLTN. Furthermore, the dependence on illuminator pulse energy E is approximately 1/(root)E for the intensity, approximately 1/E2/3 for the binary centroid. Finally, the SLTN is approximately proportional to 1/D(root)(eta) , where D is the collecting aperture and (eta) is the tracker photon efficiency (transmission X quantum). Thus the advantage of a `shared' DEW tracker compared to `separate' is typically a factor 5 or less.

Paper Details

Date Published: 25 August 1992
PDF: 14 pages
Proc. SPIE 1698, Signal and Data Processing of Small Targets 1992, (25 August 1992); doi: 10.1117/12.139369
Show Author Affiliations
Lothar W. Bandermann, Lockheed Missles & Space Co., Inc. (United States)
Robin B. Kwong, Lockheed Missles & Space Co., Inc. (United States)

Published in SPIE Proceedings Vol. 1698:
Signal and Data Processing of Small Targets 1992
Oliver E. Drummond, Editor(s)

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