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Design of recursive least-squares fixed-lag smoother using covariance information in linear continuous stochastic systems

机译:线性连续随机系统中使用协方差信息的递归最小二乘固定滞后平滑器设计

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摘要

This paper newly designs the recursive least-squares (RLS) fixed-lag smoother and filter using the covariance information in linear continuous-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 estimators require the covariance information of the signal and the variance of the observation noise. The auto-covariance function of the signal is expressed in the semi-degenerate kernel form.
机译:本文采用线性连续时间随机系统中的协方差信息,设计了递归最小二乘(RLS)固定滞后平滑器和滤波器。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。估计器需要信号的协方差信息和观察噪声的方差。信号的自协方差函数以半简并核形式表示。

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