The nonlinear estimation problem in navigation using terrain height variations is studied. The optimal Bayesian solution to the problem is derived. The implementation is grid based, calculating the probability of a set of points on an adaptively dense mesh. The Cramer-Rao bound is derived. Monte Carlo simulations over a commercial map shows that the algorithm , after convergence, reaches the Cr...

simultaneous estimation of the range and the angle of close emitters usually requires a multidimensional search. this paper proposes analgorithm to improve the position of an element for arrays designed on the basis of some certain or random rules. in the proposed method,one element moves along the same previous direction, maintaining its vertical distance from each source, to reach a constella...

The nonlinear estimation problem in navigation us ing terrain height variations is studied The optimal Bayesian solution to the problem is derived The im plementation is grid based calculating the probabil ity of a set of points on an adaptively dense mesh The Cramer Rao bound is derived Monte Carlo sim ulations over a commercial map shows that the al gorithm after convergence reaches the Crame...

An expression is derived for a Cramer-Rao lower bound on the variance of unbiased estimators of complex parameters.

This paper deals with on-line Bayesian Cramer-Rao (BCRB) lower bound for complex gains dynamic estimation of time-varying multi-path Rayleigh channels. We propose three novel lower bounds for 4QAM OFDM systems in case of negligible channel variation within one symbol, and assuming both channel delay and Doppler frequency related information. We derive the true BCRB for data-aided (DA) context a...

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.

This paper presents an analysis of Cramer-Rao lower bounds (CRLB) in the phase retrieval problem. Previous papers derived Fisher Information Matrices for the phaseless reconstruction setup. Two estimation setups are presented. In the first setup the global phase of the unknown signal is determined by a correlation condition with a fixed reference signal. In the second setup an oracle provides t...

We have studied a sea navigation method relying on a digital underwater terrain map and sonar measurements. The method is applicable for both ships and underwater vessels. We have used experimental data to build an underwater map and to investigate the estimation performance. Since the problem is non-linear, due to the measurement relation, we apply a sequential Monte Carlo method, or particle ...

a r t i c l e i n f o a b s t r a c t Keywords: Earth-centered earth-fixed (ECEF) coordinate system Converted measurement Kalman filter (CMKF) Posterior Cramer–Rao lower bound (PCRLB) Sequential filter Doppler Correlation coefficient For an airborne Doppler radar, the carrying platform is moving and has time-varying attitudes. The filtering algorithms applicable to local coordinate system are n...