Multi-Scale Modeling Based on Irregular Tree for a Stochastic Process

There is a sort of dynamic system with multiple sensors, which are usually used to measure the same target and possess different sampling frequency and characteristic. To fuse the data arising from these sensors in this dynamic system, the new concept irregular tree is put forward, a new multiscale representation is presented by use of the Markov statistical characteristics in most phenomena or processes, and the corresponding multiscale model is proposed based on a irregular qth tree. In addition, these parameters in the model are derived. Simulation illustrates the performance and effectiveness of this new method. These efforts and achievements are development and force to resolve effectively the data fusion problem for multi-source asynchronous information describing the same target