A New Expression of the Asymptotic Performances of Maximum Likelihood DOA Estimation Method With Modeling Errors
Paper in proceeding, 2004

This paper provides a new analytic expression of the RMS (Root Mean Square) error and bias of the Maximum Likelihood (ML) Direction Of Arrival (DOA) estimator in the presence of steering vectors modeling errors. The reference [4] proposes a first order approximation of these performances which is adapted to small modeling errors. In order to take into account larger modeling errors and provide tools for designing experimental set-up, a more accurate and easily usable derivation of these performances is necessary For such an investigation, the DOA estimation errors are written as an hermitean form with a stochastic vector composed by the modeling errors. Finally, a closed form expression between the performances (bias and RMS error) and statistical moments of the model error are deduced from the statistics of the hermitean form. Simulations confirm the theoretical results.

Author

A. Ferreol

Laboratoire des Systemes et Applications des Technologies de l'Information et de l'Energie

Thales Group

P. Larzabal

Laboratoire des Systemes et Applications des Technologies de l'Information et de l'Energie

Mats Viberg

Chalmers, Signals and Systems, Signal Processing and Biomedical Engineering

Proceeding EURASIP 2004, Vienna, Austria.

2219-5491 (ISSN)

Vol. 06-10-September-2004 2163-2166
978-3-20000165-7 (ISBN)

Subject Categories

Signal Processing

ISBN

978-3-20000165-7

More information

Latest update

7/12/2024