Trajectory Estimation with Multi-range-rate System Based on Sparse Representation and Spline Model Optimization |
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Authors: | Liu Jiying Zhu Jubo Xie Meihua |
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Institution: | Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, China |
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Abstract: | The classic state methods for trajectory estimation in boost phase with multi-range-rate system include method of point-by-point manner and that of spline-model-based manner. Both are deficient in terms of model-approximation accuracy and systematic error determination thus resulting in the estimation errors well beyond the requirements, especially, concerning the maneuvering trajectory. This article proposes a new high-precision estimation approach based on the residual error analysis. The residual error comprises three components, i. e. systematic error, model truncation error and random error. The approach realizes self-adaptive estimation of systematic errors in measurements following the theory of sparse representation of signals to minimize the low-frequency components of residual errors. By taking median- and high-frequency components as indexes, the spline model-approximation is improved by optimizing node sequence of the spline function and the weight selection for data fusion through iteration. Simulation has validated the performances of the proposed method. |
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Keywords: | tracking radar systematic errors truncation error sparse representation splines |
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