1. The Taylor-Series Location and Its Performance Analysis with Erroneous Observer Positions.
- Author
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WANG Ding
- Subjects
- *
TAYLOR'S series , *OBSERVABILITY (Control theory) , *ITERATIVE methods (Mathematics) , *CALIBRATION , *ALGORITHMS , *MATHEMATICAL bounds - Abstract
In this paper, a Taylor-series location method and its performance analysis are presented in presence of sensor position errors for general measurement equations. Two cases in the absence of calibration sources (a) and in the presence of calibration sources (b) are discussed. For the case (a), two Taylor-series iteration formulas are given, and their theoretical performances are proven to be consistent with each other, and equal to the corresponding Cramér-Rao bound (CRB). For the case (b), the Taylor-series location formula based on the difference calibration (DC) location is derived. Aiming to the shortcoming of the DC location technique, the Taylor-series iterative method based on two-step optimal fusion is proposed, whose theoretical performance is proven to reach to the corresponding CRB. Finally, some simulation experiments for two passive location scenarios are conducted to verify the effectiveness of the location algorithms and the performance analysis in this paper. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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