Novel passive localization algorithm based on double side matrix-restricted total least squares |
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| Authors: | Xu Zheng Qu Changwen Wang Changhai |
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| Institution: | 1. Science and Technology on Avionics Integration Laboratory, Shanghai 200233, China;Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China
2. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China |
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| Abstract: | In order to solve the bearings-only passive localization problem in the presence of erroneous observer position, a novel algorithm based on double side matrix-restricted total least squares (DSMRTLS) is proposed. First, the aforementioned passive localization problem is transferred to the DSMRTLS problem by deriving a multiplicative structure for both the observation matrix and the observation vector. Second, the corresponding optimization problem of the DSMRTLS problem without constraint is derived, which can be approximated as the generalized Rayleigh quotient minimization problem. Then, the localization solution which is globally optimal and asymptotically unbiased can be got by generalized eigenvalue decomposition. Simulation results verify the rationality of the approximation and the good performance of the proposed algorithm compared with several typical algorithms. |
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| Keywords: | Beatings Erroneous observer position Generalized eigenvalue decomposition Matrix-restricted total least squares Passive localization |
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