On Cramér-Rao Lower Bounds with Random Equality Constraints

Abstract

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Constrained Cramér–Rao bounds for reconstruction problems formulated as coupled canonical polyadic decompositions

“…such that (A 1 • D 1 ↵ ) 1,: = (B 1 • D 1 ) 1,: = 1. This specific option (31) allows for the scaling ambiguities to be corrected, even after degradation by the general matrices P and Q. We also need to rescale C 2 as…”

“…Extending [28], a preliminary work of the authors [30] treated a special case of the degradation matrices. Another extension in the case of a single random parameter was considered in [31].…”

On Ghost Imaging Studies for Information Optical Imaging

“…Particularly, in the theoretical aspect, the first step is to further improve the quantitative description of the super-resolution ability on imaging objects which are apparently sparse in the highdimensional light-field domain under the noisy case. To achieve this, one of potential approaches would be to incorporate the concept of statistical resolution [17,18] into the high-dimensional domain, while combining with the object's prior information [121][122][123]. This statistical-based description is expected to be rather meaningful for the application of a GI camera in related scenarios, such as fluorescence microscopy [124] and astronomy observing [125,126].…”