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

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4 Author(s)
Renaux, A. ; SATIE Lab., Ecole Normale Superieure de Cachan ; Najjar-Atallah, L. ; Forster, P. ; Larzabal, P.

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

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Signal Processing, IEEE Transactions on  (Volume:55 ,  Issue: 5 )