1. A Useful Form of the Abel Bound and Its Application to Estimator Threshold Prediction.
- Author
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Renaux, Alexandre, Najjar-Atallah, Leïla, Forster, Philippe, and Larzabal, Pascal
- Subjects
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SIGNAL-to-noise ratio , *COMPUTATIONAL complexity , *ESTIMATION theory , *SIGNAL processing , *ELECTRONIC data processing , *MACHINE theory - 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 [ABSTRACT FROM PUBLISHER]
- Published
- 2007
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