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Design of RLS fixed-lag smoother using covariance information in linear discrete stochastic systems

机译:线性离散随机系统中使用协方差信息的RLS固定滞后平滑器设计

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摘要

This paper newly designs the recursive least-squares fixed-lag smoother using the covariance information in linear discrete-time stochastic systems. It is assumed that the signal is observed with additive white observation noise and the signal is uncorrelated with the observation noise. The fixed-lag smoother uses the covariance function of the signal in the semi-degenerate kernel form and the variance of the observation noise. The proposed fixed-lag smoother is suitable for the estimations of stationary or non-stationary stochastic signals generally.
机译:本文利用线性离散时间随机系统中的协方差信息,设计了递归最小二乘固定滞后平滑器。假设观察到的信号带有附加的白色观察噪声,并且该信号与观察噪声不相关。固定滞后平滑器使用半简并核形式的信号的协方差函数和观测噪声的方差。所提出的固定滞后平滑器通常适合于估计平稳或非平稳随机信号。

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