On the Cramér-Rao lower bound for biased bearings-only maneuvering target tracking

  • Authors:
  • Benlian Xu;Zhengyi Wu;Zhiquan Wang

  • Affiliations:
  • Department of Information and Control Engineering, Changshu Institute of Technology, 215500 Changshu, PR China and School of Automation, Nanjing University of Science & Technology, 210094 Nanjing, ...;Department of Information and Control Engineering, Changshu Institute of Technology, 215500 Changshu, PR China;School of Automation, Nanjing University of Science & Technology, 210094 Nanjing, PR China

  • Venue:
  • Signal Processing
  • Year:
  • 2007

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Abstract

This paper aims to investigate the theoretical performance of bearings-only maneuvering target tracking when fixed measurement biases exist. Firstly, the general formulation of Cramér-Rao lower bound (CRLB) is presented when both target's maneuver and fixed measurement biases work simultaneously in a bistatic system, and the corresponding recursive CRLB formulation is then derived. Finally, a maneuver detection method is developed to calculate the approximation of the theoretical CRLB. Numerical simulation results indicate either that the proposed or the fuzzy-neural-network-based maneuver detection method can yield a satisfying CRLB compared with the theoretical CRLB, but the proposed method is easier to implement owing to directly utilizing the target's bearing information.