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

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 Cramér–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.
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IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2007, 55 (5), pp.2365-2369
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  • HAL Id : inria-00444722, version 1

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Alexandre Renaux, L. Najjar-Atallah, Philippe Forster, Pascal Larzabal. A Useful Form of the Abel Bound and Its Application to Estimator Threshold Prediction. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2007, 55 (5), pp.2365-2369. 〈inria-00444722〉

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