Absorptive weak plume detection on Gaussian and non-Gaussian background clutter

James Theiler
2021 IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing  
For additive signals on Gaussian clutter, the optimal detector is a linear matched filter that is adapted to the known signal and the covariance of the background. This adaptive matched filter (AMF) is widely used for gas-phase plume detection, even though the effect of the plume on the background is not strictly additive. Here, a derivation of the matched filter for a strictly absorptive plume produces, in the weak plume limit, a quadratic filter. This quadratic matched filter is extended in
more » ... o ways: an elliptically-contoured multivariate t distribution is used to generalize the Gaussian background clutter, and a GLRT detector is derived to extend applicability to stronger plumes. In addition to detectors whose purpose is to identify presence vs. absence of a plume, expressions are also derived for estimating plume strength. The performance of these various detectors is evaluated by implanting simulated plume into background images that are either real hyperspectral images or simulated images based on different (Gaussian, multivariate t, and lognormal) clutter distributions.
doi:10.1109/jstars.2021.3093820 fatcat:ue2mnbjrlnb3xaa3d2fnwdfxpu