  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.
