Matched filter performance for unequal target and background covariance matrices

Christopher Rozell; Dimitris G. Manolakis

doi:10.1117/12.542086

12 August 2004 Matched filter performance for unequal target and background covariance matrices

Christopher Rozell, Dimitris G. Manolakis

Proceedings Volume 5425, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery X; (2004) https://doi.org/10.1117/12.542086
Event: Defense and Security, 2004, Orlando, Florida, United States

Abstract

Detection of military and civilian targets from airborne platforms using hyperspectral imaging (HSI) sensors is of great interest. Relative to multispectral sensing, hyperspectral sensing can increase the detectability of targets by exploiting finer detail in spectral signatures. A multitude of adaptive detection algorithms have appeared in the literature or have found their way into software packages and end-user systems. The most widely known among them is the linear matched filter. However, despite its popularity, the fact that the matched filter is used under conditions that deviate from the implicit optimality assumptions has not been investigated. The optimum linear matched filter assumes that the target and background spectra follow normal distributions with identical covariance matrices. However, in HSI data, the fundamental assumption about equal covariance matrices is likely violated. An analytic matched filter performance expression assuming unequal covariance matrices is derived, which also allows performance estimates under incomplete class descriptions (only a few principal components are known). Examples based on HSI data show that theoretical performance can be overly optimistic compared to actual performance. Example performance estimates based on incomplete class descriptions are shown to be more realistic because of the elongation of typical HSI data distribution hyperellipses.

Citation Download Citation

Christopher Rozell and Dimitris G. Manolakis "Matched filter performance for unequal target and background covariance matrices", Proc. SPIE 5425, Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery X, (12 August 2004); https://doi.org/10.1117/12.542086

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