Recursive filtering for an uncertain system with wireless switching channels and fading measurements: A microseismic event detection method

In this paper, the microseismic event detection problem is analyzed for an array of microseismic systems by developing a novel recursive filtering algorithm. The state-space model of the microseismic system with parameter uncertainty is constructed on the basis of the seismic wavelet and the ambient noise. In view of the actual situation of the wireless transmission, the switching channels and fading measurements are drawn into the microseismic system. The main purpose of the addressed problem is to devise a filter so as to precisely and automatically pick the first arrival time of the microseismic P wave and S wave. In addition, an upper bound of the filtering error covariance matrix is given and then minimized by properly designing the filter parameter. Furthermore, the mean-square exponential boundedness of the filtering error is verified. Finally, an illustrative example is provided to examine the effectiveness of the algorithm on microseismic event detection.