NDLI: Recursive instrumental variable method for locating a scanning emitter by a single observer using time of interception

Content Provider	IET Digital Library
Author	Zhang, Yifei Zhang, Min Guo, Fucheng
Abstract	The recursive solution to passive localisation of a scanning emitter using time of interception (TOI) by a single moving observer is investigated in this study. First, the correlated measurement noise in the traditional pseudo-linear model for the scanning emitter localisation is decoupled by introducing the first noise corrupted direction of arrival as a nuisance parameter. A recursive pseudo-linear least square (RPLS) estimator is then developed by transforming the TOI of the scanning emitter into the direction difference of arrival model. However, there is bias in this method due to the correlation between the measurement matrix and the noise. To reduce the bias, the instrumental variable (IV) method is used, and two recursive IV (RIV) estimators, forgetting factor based RIV (F2RIV) and Taylor series expansion based RIV (TSRIV), are proposed. It approximates the IV matrix recursively using the Taylor series expansion in the TSRIV estimator. Simulations show that the TSRIV estimator alleviates the bias compared with the RPLS estimator dramatically and can reach the Cramer–Rao lower bound at moderate measurement noise levels. Moreover, it is more stable and has shorter convergence time than the F2RIV estimator.
Starting Page	1839
Ending Page	1844
Page Count	6
ISSN	17518784
Volume Number	11
e-ISSN	17518792
Issue Number	Issue 12, Dec (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rsn/11/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rsn.2017.0097
Journal	IET Radar, Sonar & Navigation
Publisher Date	2017-08-24
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Bias Reduction Convergence Time Correlated Measurement Noise Cramer-Rao Lower Bound Direction Difference-of-arrival Model Direction of Arrival Estimation F2RIV Estimator Forgetting Factor-based RIV Instrumental Variable Method Interpolation And Function Approximation IV Matrix Recursive Estimation IV Method Least Squares Approximation Measurement Matrix Measurement Noise Levels Noise Corrupted Direction-of-arrival Nuisance Parameter Numerical Analysis Passive Localisation Pseudolinear Model Recursive Estimation Recursive Instrumental Variable Method Recursive IV Estimator Recursive Pseudolinear Least Square Estimator RIV Estimator RPLS Estimator Scanning Emitter Localisation Signal Processing And Detection Signal Processing Theory Single-moving Observer Single-observer Statistics Taylor Series Expansion Taylor Series Expansion-based RIV Time-of-interception TSRIV TSRIV Estimator
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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