Remarks on the Cramer-Rao inequality for Doppler-based target parameter estimation

This paper outlines the problem of multi-static Doppler-based target position and velocity estimation. The Fisher information matrix is derived given a separate target illuminator and then given a target-based isotropic signal emission. Some remarks concerning the Cramer-Rao inequality and its relationship to the estimation problem are given. Some results concerning the placement of the receivers are given and some open problems are discussed.

[1]  Anders Høst-Madsen On the existence of efficient estimators , 2000, IEEE Trans. Signal Process..

[2]  Brian D. O. Anderson,et al.  Optimality analysis of sensor-target localization geometries , 2010, Autom..

[3]  Yonina C. Eldar Minimum variance in biased estimation: bounds and asymptotically optimal estimators , 2004, IEEE Transactions on Signal Processing.

[4]  A. Weiss,et al.  Performance analysis of bearing-only target location algorithms , 1992 .

[5]  Yonina C. Eldar Uniformly Improving the CramÉr-Rao Bound and Maximum-Likelihood Estimation , 2006, IEEE Transactions on Signal Processing.

[6]  E.J. Barlow Doppler Radar , 1949, Proceedings of the IRE.

[7]  H. V. Trees,et al.  Exploring Estimator BiasVariance Tradeoffs Using the Uniform CR Bound , 2007 .

[8]  K. Gong,et al.  Fundamental properties and performance of conventional bearings-only target motion analysis , 1984 .

[9]  Alfred O. Hero,et al.  Exploring estimator bias-variance tradeoffs using the uniform CR bound , 1996, IEEE Trans. Signal Process..

[10]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

[11]  A. Gualtierotti H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[12]  L.R. Malling Radio Doppler Effect for Aircraft Speed Measurements , 1947, Proceedings of the IRE.

[13]  Walter R. Fried Principles and Performance Analysis of Doppler Navigation Systems , 1957, IRE Transactions on Aeronautical and Navigational Electronics.

[14]  Sheldon N. Salinger,et al.  Application of Recursive Estimation and Kalman Filtering to Doppler Tracking , 1970, IEEE Transactions on Aerospace and Electronic Systems.