An Information Geometric Viewpoint on the Detection of Range Distributed Targets

Figure 3

Contour curves of the Siegel distance based on (a) the underlying covariance matrix ; (b) the sample covariance matrix or (c) . The values marked on the contour curves denote different Siegel distances from the origin to the submanifold specified by the current point. s listed in the legends denote the corresponding alarm probabilities of the geometric distance detectors; (d) contour curves of the Siegel distances based on different choice of the noise covariance matrix, with the same alarm probability . All curves were drawn as the projections on the measurement space.

(a)

(b)

(c)

(d)