Analytical performance evaluation of SAR ATR with inaccurate or estimated models

Michael D. DeVore

doi:10.1117/12.548352

2 September 2004 Analytical performance evaluation of SAR ATR with inaccurate or estimated models

Michael D. DeVore

Proceedings Volume 5427, Algorithms for Synthetic Aperture Radar Imagery XI; (2004) https://doi.org/10.1117/12.548352
Event: Defense and Security, 2004, Orlando, Florida, United States

Abstract

Hypothesis testing algorithms for automatic target recognition (ATR) are often formulated in terms of some assumed distribution family. The parameter values corresponding to a particular target class together with the distribution family constitute a model for the target's signature. In practice such models exhibit inaccuracy because of incorrect assumptions about the distribution family and/or because of errors in the assumed parameter values, which are often determined experimentally. Model inaccuracy can have a significant impact on performance predictions for target recognition systems. Such inaccuracy often causes model-based predictions that ignore the difference between assumed and actual distributions to be overly optimistic. This paper reports on research to quantify the effect of inaccurate models on performance prediction and to estimate the effect using only trained parameters. We demonstrate that for large observation vectors the class-conditional probabilities of error can be expressed as a simple function of the difference between two relative entropies. These relative entropies quantify the discrepancies between the actual and assumed distributions and can be used to express the difference between actual and predicted error rates. Focusing on the problem of ATR from synthetic aperture radar (SAR) imagery, we present estimators of the probabilities of error in both ideal and plug-in tests expressed in terms of the trained model parameters. These estimators are defined in terms of unbiased estimates for the first two moments of the sample statistic. We present an analytical treatment of these results and include demonstrations from simulated radar data.

Citation Download Citation

Michael D. DeVore "Analytical performance evaluation of SAR ATR with inaccurate or estimated models", Proc. SPIE 5427, Algorithms for Synthetic Aperture Radar Imagery XI, (2 September 2004); https://doi.org/10.1117/12.548352

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