@inproceedings{165b49c8554b41dc941aed380079d192,
title = "Periodic CRB for non-Bayesian parameter estimation",
abstract = "In many practical parameter estimation problems, the appropriate criterion is periodic in the parameter space. This paper considers the mean square periodic error (MSPE) criterion combined with periodic unbiasedness for which the conventional Cram{\'e}r-Rao bound (CRB) does not provide a valid bound. The periodic unbiasedness is defined using the Lehmann-unbiasedness concept, and a Cram{\'e}r-Rao type bound on the MSPE of any periodic unbiased estimator is derived. The proposed bound and performance of some periodic unbiased estimators for phase estimation problem are compared in terms of MSPE in a phase estimation problem with Gaussian noise.",
keywords = "Cramer-Rao bound, Cram{\'e}r-Rao bound, Fisher information matrix, Lehmann unbiasedness, Non-Bayesian parameter estimation, periodic unbiasedness",
author = "Tirza Routtenberg and Joseph Tabrikian",
year = "2011",
month = aug,
day = "18",
doi = "10.1109/ICASSP.2011.5946979",
language = "American English",
isbn = "9781457705397",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
pages = "2448--2451",
booktitle = "2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings",
note = "36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 ; Conference date: 22-05-2011 Through 27-05-2011",
}