校正源状态扰动下Taylor 级数迭代定位方法

doi:10.3969/j.issn.0255-8297.2015.03.006

Abstract

Abstract: While most passive localization algorithms are only applicable to certain applications,
the Taylor series iteration (TSI) algorithm is suitable for arbitrary settings. For
this reason, a theoretical framework for deriving localization performance of TSI is discussed.
Two cases, with and without calibration state error, are considered. In the former
case, the corresponding Cramér-Rao lower bound (CRLB) is derived. In the latter case,
the corresponding CRLB is derived and compared with the former case. Mean square error
(MSE) is derived theoretically. Comparison between the theoretical MSE with the CRLB
indicates that accuracy of the source location cannot reach the optimal accuracy without
considering the calibration state error. To overcome the shortcoming, a two-step optimal
fusion localization method based on TSI is proposed, with accuracy reaching that of CRLB.
Passive localization is simulated to verify performance of the proposed algorithm, showing
validity of the theoretical analysis in this paper.

Key words: passive localization, Cramér-Rao lower bound, calibration emitters, Taylor series iteration, two-step optimal fusion localization

CLC Number:

TN911.7

References

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Source Localization Using Taylor Series Iteration with Perturbation Calibration of Emitter States

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