A wind scatterometer makes measurements of the normalized radar-backscatter coefficient of the ocean surface. To retrieve the wind, a geophysical model function (GMF), which relates to the near-surface wind, is used. The wind vector can be estimated using maximum-likelihood techniques from several measurements made at different azimuth angles. The probability density of the measured is assumed ...

Acquiring position information by means of ad-hoc networks and in particular wireless sensors networks (WSNs) received a lot of attention in the past years. Survey works, such as [1], [2], show a large number of techniques/algorithms that can be used to solve the localization problem. The techniques used are often borrowed from other fields of science and modified to fit the context of wireless...

In statistical signal processing, hybrid parameter estimation refers to the case where the parameters vector to estimate contains both non-random and random parameters. Numerous works have shown the versatility of deterministic constrained Cramér-Rao bound for estimation performance analysis and design of a system of measurement. However in many systems both random and non-random parameters may...

An important aspect of estimation theory is characterizing the best achievable performance in a given estimation problem, as well as determining estimators that achieve the optimal performance. The traditional Cramér-Rao type bounds provide benchmarks on the variance of any estimator of a deterministic parameter vector under suitable regularity conditions, while requiring a-priori specification...

We consider the intrinsic version of the Cramer-Rao lower bound (CRLB) as introduced by S.T. Smith in 2005. In the concerned paper, the derived lower bound on the intrinsic root-mean-square error (RMSE) of any sample covariance matrix (SCM) estimator is shown not to depend on the underlying parameter, and the author claims the result stems from the invariances of the Fisher Information Metric (...

summary While all nonsequential unbiased estimators of the normal mean have variances which must obey the Cramer-Rao inequality, it is shown that some sequential unbiased estimators do not.

Computation of the Cramer-Rao bound (CRB) on estimator variance requires the inverse or the pseudo-inverse Fisher information matrix (FIM). Direct matrix inversion can be computationally intractable when the number of unknown parameters is large. In this correspondence, we compare several iterative methods for approximating the CRB using matrix splitting and preconditioned conjugate gradient al...

A unifying asymptotic performance analysis of a class of MUSIC algorithms for direction-of arrival (DOA) estimation in fourth-order cumulant domain (FOCD-MUSIC) is presented in this paper, A simple and explicit formula for the asymptotic variances of DOA estimation by FOCDMUSIC’s is given. The Cram&-Rao bound for DOA estimation in fourth-order cumulant domain (FOCD-CRB) is also derived. The per...