A Useful Form of the Abel Bound and Its Application to Estimator Threshold Prediction

Author

Renaux, Alexandre ; Najjar-Atallah, Leïla ; Forster, Philippe ; Larzabal, Pascal

Author_Institution

SATIE Lab., Ecole Normale Superieure de Cachan

Volume

55

Issue

5

fYear

2007

fDate

5/1/2007 12:00:00 AM

Firstpage

2365

Lastpage

2369

Abstract

This correspondence investigates the Abel bound in order to predict the estimators mean square error (mse) threshold effect. A tractable and computationally efficient form of this bound is derived. This form combines the Chapman-Robbins and the Crameacuter-Rao bounds. This bound is applied to a data-aided carrier frequency estimation problem for which a closed-form expression is provided. An indicator of the signal-to-noise ratio threshold is proposed. A comparison with recent results on the Barankin bound (Chapman-Robbins version) shows the superiority of the Abel-bound version to predict the mse threshold without increasing the computational complexity

Keywords

computational complexity; frequency estimation; mean square error methods; signal processing; Abel bound; Barankin bound; Chapman-Robbins bounds; Cramer-Rao bounds; data-aided carrier frequency estimation; estimator threshold prediction; estimators mean square error threshold effect; signal-to-noise ratio threshold; Closed-form solution; Computational complexity; Computational efficiency; Direction of arrival estimation; Electric breakdown; Laboratories; Mean square error methods; Performance analysis; Signal to noise ratio; Testing; Abel bound (AB); carrier synchronization; minimal bounds on mean square error (mse); performance analysis; threshold prediction;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2006.890928

Filename

4156422