Generalized Chromodynamic Detection

A Generalized Likelihood Ratio (GLR) detector is formulated for a known spectral contrast signal that may be present with unknown amplitudes in a pair of co-registered hyperspectral image observations. Under multivariate Gaussian hypotheses, the joint likelihood function is a quadratic expression containing the signal coefficients for the two spectral observations. Maximum-likelihood coefficient estimates, obtained by solving a set of linear equations, define a multi-look GLR decision statistic for detecting the assumed target signal. The performance of the new multi-look detector is compared to several existing methods using a real LWIR hyperspectral image pair with injected target signals simulating gas effluent plumes.