This paper is dedicated to dealing with the recursive filtering problem for a class of microseismic signal arrival time picking with dynamic transmission mechanism (DTM) and sensor saturation (SS). Firstly, the microseismic wave and its environmental noise are established as an exponentially decaying cyclic wave and a Markov process, respectively, and then the state space expression of the microseismic system is exhibited. Next, the phenomenon of the SS is taken into account to describe the practical microseismic system. Simultaneously, the DTM is introduced to avoid the waste of communication resources and energy, where more valuable measurements are transmitted to the remote filter. The purpose of this paper is to design a filter such that the arrival time of P wave and S wave (ATPSW) of microseismic signals is picked automatically in consideration of the SS and the DTM, and an upper bound of the filtering error covariance matrix is optimized by the designed filter gain at each time instant. Subsequently, a sufficient condition is given to ensure that the filtering error is exponential bounded in the sense of mean square. Finally, the effectiveness of the proposed algorithm is illustrated by a simulation experiment.

本文致力于处理一类具有动态传输机制（DTM）和传感器饱和（SS）的微震信号到达时间拾取的递归滤波问题。首先将微地震波及其环境噪声分别建立为指数衰减循环波和马尔可夫过程，然后展示微地震系统的状态空间表达式。接下来，考虑到 SS 现象来描述实际的微地震系统。同时，引入 DTM 以避免浪费通信资源和能源，将更有价值的测量值传输到远程滤波器。本文的目的是设计一种滤波器，使得微地震信号的纵横波到达时间（ATPSW）能够自动选取考虑到 SS 和 DTM 的时间，并且滤波误差协方差矩阵的上界为通过在每个时刻设计的滤波器增益进行优化。随后，给出一个充分条件来保证滤波误差在均方意义上是指数有界的。最后，通过仿真实验说明了所提算法的有效性。