论文标题
与时间尺度的间歇性光学无线通信系统的Kalman滤波器设计
Kalman Filter Design for Intermittent Optical Wireless Communication Systems on Time Scales
论文作者
论文摘要
时间尺度理论由于其统一连续和离散案例的能力，允许处理棘手的非均匀测量值，例如间歇性接收的信号。在这项工作中，我们通过在时间尺度上设计卡尔曼过滤器来解决振动引起的间歇性光学无线通信（OWC）系统的状态估计问题。首先，引入了时间尺度卡尔曼滤波器的算法，并给出了一个数值示例以进行插图。然后提出了研究的间歇性OWC系统，并收集实验数据以确定时间尺度的形式，该形式具有有限的颗粒感（又称有限的时间跳跃）。最后，我们针对间歇性OWC系统设计了一个Kalman过滤器，并严格分析了其估计性能。此外，获得的结论在参考系统上得到了进一步验证。模拟结果证实了时间尺度的卡尔曼滤波技术有望通过不均匀测量来解决状态估计问题。这项研究首次揭示了将时间尺度的卡尔曼滤波器理论应用于实际应用的可行性。
Time-scale theory, due to its ability to unify the continuous and discrete cases, allows handling intractable non-uniform measurements, such as intermittent received signals. In this work, we address the state estimation problem of a vibration-induced intermittent optical wireless communication (OWC) system by designing a Kalman filter on time scales. First, the algorithm of the time-scale Kalman filter is introduced and a numerical example is given for illustration. Then the studied intermittent OWC system is presented, and experimental data are collected to determine the time scale's form, which has bounded graininess (a.k.a, bounded time jumps). Finally, we design a Kalman filter on the previously defined time scale for the intermittent OWC system and critically analyzed its estimation performance. Moreover, the obtained conclusions are further validated on a reference system. The simulation results corroborate that the time-scale Kalman filtering technique is considerably promising to solve the state estimation problem with non-uniform measurements. This study reveals for the first time the feasibility of applying the time-scale Kalman filter theory to practical applications.
