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...

In an earlier paper 9], we studied a generalized Rao bound for ordered orthogonal arrays and (T; M; S)-nets. In this paper, we extend this to a coding-theoretic approach to ordered orthogonal arrays. Using a certain association scheme, we prove a MacWilliams-type theorem for linear ordered orthogonal arrays and linear ordered codes as well as a linear programming bound for the general case. We ...

The Cramér-Rao bound (CRB) for direction of arrival (DOA) estimation exploiting both auto-correlation and cross-correlation information within multiple frequencies the received array signals is derived. It provides a tighter than existing CRB dual-frequency scenario. For frequencies, it much lower its counterpart, also exists greater number sources, thereby validating that frequency pairs can i...

I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cramér-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a Heisenberg error limit that scales with the average energy and a limit similar to the quantum Cramér-Rao bound that scales with the energy variance. These results are further illustrated by ap...

-In this paper we present new approximation expressions for the Cramer-Rao Lower Bound on unbiased estimates of frequency, phase, amplitude and DC offset for uniformly sampled signal embedded in white-Gaussian noise. This derivation is based on well-known assumptions and a novel set of approximations for finite series of trigonometric functions. The estimated Cramer-Rao Lower Bounds are given i...