The matched filter is a widely used detector in hyperspectral detection applications because of its simplicity and its efficiency in practical situations. We propose to estimate its performance with respect to the number of spectral bands. These spectral bands are selected thanks to a genetic algorithm in order to optimize the contrast between the target and the background in the detection plane. Our band selection method can be used to optimize not only the position but also the linewidth of the spectral bands. The optimized contrast always increases with the number of selected bands. However, in practical situations, the target spectral signature has to be estimated from the image. We show that in the presence of estimation error, the maximum number of bands may not always be the best choice in terms of detection performance.
© 2011 Optical Society of America
Original Manuscript: March 2, 2011
Revised Manuscript: May 20, 2011
Manuscript Accepted: May 24, 2011
Published: July 21, 2011
Jean Minet, Jean Taboury, François Goudail, Michel Péalat, Nicolas Roux, Jacques Lonnoy, and Yann Ferrec, "Influence of band selection and target estimation error on the performance of the matched filter in hyperspectral imaging," Appl. Opt. 50, 4276-4285 (2011)