Optimal Estimation of Parameters of Transient Mixture Processes Using Dynamic Logic Approach

Abstract

In this work we generalize dynamic logic approach for the case of time transient processes with time-dependent energy function. Earlier studies have laid down the firm foundations of DL to pattern recognition in the presence of very high noise and clutter. We derive DL equations with time-dependent energy function and apply it to the detection of transient processes in 2-dimensional images. The developed method has been tested on simulated data. The results show good accuracy of the estimation of transient parameters, including the gradient of spatial propagation, and rate of the energy increase/decrease in the case of processes with explosive/implosive processes, respectively