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Tobit Kalman filter with channel fading and dead-zone-like censoring
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2021-07-09 , DOI: 10.1080/00207721.2020.1859160
Shuhui Li 1 , Xiaoxue Feng 1 , Zhihong Deng 1 , Feng Pan 1, 2
Affiliation  

In complex control systems, the channel fading and the measurement censoring are often unavoidable due to sudden environmental changes, intermittent transmission congestions, random failures and repairs of components. To this end, the Tobit Kalman filtering problem for discrete-time systems with the dead-zone-like censoring and channel fading is studied where the censoring and fading phenomena are, respectively, described by the Tobit measurement model and the Lth-order Rice fading channel model. The design of the filter is carried out in two stages: (1) the state augmentation technique is firstly adopted to remove the time-delay effect caused by the fading channel; and (2) the statistical information of censored measurements is used to determine the optimal filter structure in the minimum mean-square error sense, where the orthogonal projection principle is utilised to avoid the deep correlations among the multiple random variables induced by measurement censoring and channel fading. Besides, the desired filter is also devised based on the approach of the conditional expectation. For the convenience of calculation, the filter with the dead-zone-like censoring is converted into an equivalent one with one-side censoring. Finally, a numerical example of estimating the ballistic ball rates is given to verify the effectiveness of the proposed filters.



中文翻译:

具有信道衰落和类死区审查的 Tobit Kalman 滤波器

在复杂的控制系统中,由于突然的环境变化、间歇性的传输拥塞、随机故障和组件的维修,信道衰落和测量审查往往是不可避免的。为此,研究了具有类死区删失和信道衰落的离散时间系统的 Tobit Kalman 滤波问题,其中删失和衰落现象分别由 Tobit 测量模型和H-阶水稻衰落信道模型。滤波器的设计分两个阶段进行:(1)首先采用状态增强技术去除衰落信道引起的时延效应;(2)利用截尾测量的统计信息确定最小均方误差意义上的最优滤波器结构,利用正交投影原理避免测量截尾和信道引起的多个随机变量之间的深度相关性。衰退。此外,期望滤波器也是基于条件期望的方法设计的。为计算方便,将类死区删失的滤波器转换为等效的单侧删失滤波器。最后,

更新日期:2021-07-26
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