Ten lectures on wavelets
Real-time optimal filtering for stochastic systems with multiresolutional measurements
Systems & Control Letters
Efficient multiresolution counterparts to variational methods for surface reconstruction
Computer Vision and Image Understanding
The modeling and estimation of statistically self-similar processes in a multiresolution framework
IEEE Transactions on Information Theory
Multiscale segmentation and anomaly enhancement of SAR imagery
IEEE Transactions on Image Processing
Multiscale methods for the segmentation and reconstruction of signals and images
IEEE Transactions on Image Processing
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Fusion of the states of a nonlinear dynamic multiscale system (DMS) on the basis of available noisy measurements is one of the well-known key problems in modern control theory. To the best of our knowledge, all of the previous work focused attention on linear DMS. However, nonlinear DMS has never been investigated. In this paper, modeling and fusion estimation of dynamic multiscale system subject to nonlinear measurement equation is proposed. Haar wavelet is used to link the scales. Monte Carlo simulation results demonstrate that the proposed algorithm is effective and powerful in this kind of nonlinear dynamic multiscale system estimation problem.