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Power Adaptation for Vector Parameter Estimation according to Fisher\n Information based Optimality Criteria

2020/11/20 by Doğa Gürgünoğlu, Gürgünoğlu, Doğa, Berkan Dülek +3 · 1 citation
Computer Science · Engineering · #Advanced Adaptive Filtering Techniques #Control Systems and Identification #Direction-of-Arrival Estimation Techniques #FOS: Electrical engineering #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2011.10609

openalex publication_date 2020/11/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The optimal power adaptation problem is investigated for vector parameter\nestimation according to various Fisher information based optimality criteria.\nBy considering an observation model that involves a linear transformation of\nthe parameter vector and an additive noise component with an arbitrary\nprobability distribution, six different optimal power allocation problems are\nformulated based on Fisher information based objective functions. Via\noptimization theoretic approaches, various closed-form solutions are derived\nfor the proposed problems. Also, the results are extended to cases in which\nnuisance parameters exist in the system model or certain types of nonlinear\ntransformations are applied on the parameter vector. Numerical examples are\npresented to investigate performance of the proposed power allocation\nstrategies.\n

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