Estimation of the Projection Operator in a Multiresolution Multisensor Data Fusion Scheme

Zhang presented a new multiresolution multisensor data fusion scheme for dynamic systems to be observed by multisensors of different resolutions. State space projection equation is introduced to associate the states of a system at each resolution with others. A discrete model of the system is built by using Haar wavelet or general compactly supported wavelet as a linear projection operator to approximate the state space projection. In fact, different wavelet corresponds to different sensor structure. For the multiresolution multisensor system with unknown sensor structure, the projection operator should be estimated online. Up to now, this problem has never been investigated. In this brief, the projection operator is estimated by using least-square estimation algorithm and recursive least-square estimation algorithm. The research on projection operator estimation lays a foundation for the popularization and application of the multiresolution multisensor system estimation algorithm in the real system