Hilbert-Schmidt Lower Bounds for Estimators on Matrix Lie Groups for ATR

IEEE Transactions on Pattern Analysis and Machine IntelligenceHilbert - Schmidt

In a deformable template representation of observed images fundamental to mod-eling the variability of target pose is the action of the matrix Lie groups (such as SO(n)) on rigid templates. For the problem of target identiication using remote sensors , a Bayesian approach constructs a posterior distribution on the rotation group from which the conditional expectations can be generated. Due to t...

Clutter Modeling and Performance Analysis in Automatic Target Recognition 1

The past decade has witnessed rapid development in accurate modeling of 3D targets and multiple sensor fusion in automatic target recognition (ATR), however, the scientiic study for quantifying non-target objects in a cluttered scene has made very limited progress, due to its enormous diiculties. In this paper, we study two important themes in ATR: I) clutter modeling { how can we build generic...

Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

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In this paper we introduce and study Besselian $g$-frames. We show that the kernel of associated synthesis operator for a Besselian $g$-frame is finite dimensional. We also introduce $alpha$-dual of a $g$-frame and we get some results when we use the Hilbert-Schmidt norm for the members of a $g$-frame in a finite dimensional Hilbert space.

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