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The aim of this paper is to investigate some deterministic lower bounds for biased estimation. Namely, the Cramer-Rao bound (CRB) and the Chapman-Robbins bound (ChRB) are addressed. First, a modified version of the ChRB accounting for estimation bias is derived and shown to be tighter than the CRB accounting for bias. Then, an approximation of the estimation bias is proposed and used to provide tractable...
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...
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