Abstract

This study deals with a general procedure for efficient estimation of multiple parameters. The proposed technique is based on an original theorem named EXtended Invariance Principle (EXIP), which is established in the study. The resulting method allows obtaining in some non-linear cases an efficient estimation without iterative procedures. This new approach is applied to localize a target and estimate its speed in multistatic radar.

Keywords:

Array processing, high signal-to-noise ratio, maximum likelihood estimator, statistical efficient estimation,

References

1. Amar, A. and A.J. Weiss, 2008. Fundamental limitations on the resolution of deterministic signals. IEEE T. Signal Proces., 56(11): 5309-5318.
   
2. Bilodeau, M. and D. Brenner, 1999. Theory of Multivariate Statistics. Springer-Verlag, New York.
   Direct Link
3. Chan, Y.T. and K.C. Ho, 1994. A simple and efficient estimator for hyperbolic location. IEEE T. Signal Proces., 42(8): 1905-1915.
   
4. Grosicki, E., 2003. Techniques Avancées du Traitement d'Antennes pour la Localisation de Sources. Ph.D. Thesis.
   
5. Messer, H., 2006. The hybrid Cramer-Rao lower bound - from practice to theory. Proceeding of 4th IEEE Workshop on Sensor Array and Multichannel Processing (SAM). Waltham, MA, pp: 304-307.
   Direct Link
6. Ottersten, B., M. Viberg, P. Stoica and A. Nehorai, 1993. Exact and Large Sample Maximum Likelihood Techniques for Parameter Estimation and Detection in Array Processing. In: Haykin, S., J. Litva and T.J. Shepherd (Eds.), Radar Array Processing. Springer, Berlin, Heidelberg, 25: 99-151.
   CrossRef    Direct Link
7. Stoica, P. and A. Nehorai, 1990. Performance study of conditional and unconditional direction-of-arrival estimation. IEEE T. Acoust. Speech, 38(10): 1783-1795.
   
8. Swindlehurst, A.L. and P. Stoica, 1998. Maximum likelihood methods in radar array signal processing. P. IEEE, 86(2): 421-441.
   
9. Wan, Q. and Y.N. Peng, 2002. Enhanced linear estimator for mobile location using range difference measurements. IEICE T. Commun., E85-B(5): 946-950.
   

Competing interests

The authors have no competing interests.

Open Access Policy

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Copyright

The authors have no competing interests.