13 July 2000 Track testing for single targets in clutter
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This paper concerns itself with the target-free behavior of data association in the clutter. There are a pair of main results. In the first, a new technique is developed for the detection of track loss. The basis is Page's (cusum) test, but a modification is given for the situation that the track-absent parameter (e.g. of mean of squared innovations) is not known. The result is a Page-style test with variable bias and threshold. The second matter of interest if the target-free distribution of the maximum-likelihood probabilistic data association (MLPDA) statistic. It is confirmed via importance sampling that a Gaussian distribution is not inappropriate; but the mean and variance of this distribution are different from those of the un-maximized log- likelihood surface. Guidance is given on the calculation of these.
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Peter K. Willett, Peter K. Willett, Yaakov Bar-Shalom, Yaakov Bar-Shalom, } "Track testing for single targets in clutter", Proc. SPIE 4048, Signal and Data Processing of Small Targets 2000, (13 July 2000); doi: 10.1117/12.391973; https://doi.org/10.1117/12.391973

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