13 May 2015 Multinomial pattern matching revisited
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Proceedings Volume 9475, Algorithms for Synthetic Aperture Radar Imagery XXII; 94750H (2015); doi: 10.1117/12.2176229
Event: SPIE Defense + Security, 2015, Baltimore, Maryland, United States
Abstract
Multinomial pattern matching (MPM) is an automatic target recognition algorithm developed for specifically radar data at Sandia National Laboratories. The algorithm is in a family of algorithms that first quantizes pixel value into Nq bins based on pixel amplitude before training and classification. This quantization step reduces the sensitivity of algorithm performance to absolute intensity variation in the data, typical of radar data where signatures exhibit high variation for even small changes in aspect angle. Our previous work has focused on performance analysis of peaky template matching, a special case of MPM where binary quantization is used (Nq = 2). Unfortunately references on these algorithms are generally difficult to locate and here we revisit the MPM algorithm and illustrate the underlying statistical model and decision rules for two algorithm interpretations: the 1-of-K vector form and the scalar. MPM can also be used as a detector and specific attention is given to algorithm tuning where "peak pixels" are chosen based on their underlying empirical probabilities according to a reward minimization strategy aimed at reducing false alarms in the detection scenario and false positives in a classification capacity. The algorithms are demonstrated using Monte Carlo simulations on the AFRL civilian vehicle dataset for variety of choices of Nq.
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Matthew S. Horvath, Brian D. Rigling, "Multinomial pattern matching revisited", Proc. SPIE 9475, Algorithms for Synthetic Aperture Radar Imagery XXII, 94750H (13 May 2015); doi: 10.1117/12.2176229; http://dx.doi.org/10.1117/12.2176229
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KEYWORDS
Quantization

Detection and tracking algorithms

Algorithm development

Statistical analysis

Automatic target recognition

Synthetic aperture radar

Data modeling

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