论文标题
根据Fisher信息基于基于Fisher信息的最佳标准,对矢量参数估算的功率适应
Power Adaptation for Vector Parameter Estimation according to Fisher Information based Optimality Criteria
论文作者
论文摘要
根据各种基于Fisher信息的最佳标准,研究了对向量参数估计的最佳功率适应问题。通过考虑一个涉及参数矢量线性转换和具有任意概率分布的加性噪声组件的观察模型,基于基于Fisher信息的目标函数制定了六个不同的最佳功率分配问题。通过优化理论方法,为提出的问题得出了各种封闭式解决方案。同样,将结果扩展到系统模型中存在讨厌参数的情况,或在参数向量上应用了某些类型的非线性转换。提出了数值示例,以研究提出的权力分配策略的性能。
The optimal power adaptation problem is investigated for vector parameter estimation according to various Fisher information based optimality criteria. By considering an observation model that involves a linear transformation of the parameter vector and an additive noise component with an arbitrary probability distribution, six different optimal power allocation problems are formulated based on Fisher information based objective functions. Via optimization theoretic approaches, various closed-form solutions are derived for the proposed problems. Also, the results are extended to cases in which nuisance parameters exist in the system model or certain types of nonlinear transformations are applied on the parameter vector. Numerical examples are presented to investigate performance of the proposed power allocation strategies.