Harry L. Van Trees

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The Bayesian Ziv–Zakai bound on the mean square error (MSE) in estimating a uniformly distributed continuous random variable is extended for arbitrarily distributed continuous random vectors and for distortion functions other than MSE. The extended bound is evaluated for some representative problems in time-delay and bearing estimation. The resulting bounds(More)
Quadratic constraints on the weight vector of an adaptive linearly constrained minimum power (LCMP) beamformer can improve robustness to pointing errors and to random perturbations in sensor parameters. In this paper, we propose a technique for implementing a quadratic inequality constraint with recursive least squares (RLS) updating. A variable diagonal(More)
For code-division multiple access (CDMA) communication systems, many constrained linear receivers have been developed to suppress multiple access interference. The linearly constrained formulations are generally sensitive to multipath fading and other types of signal mismatch. In this paper, we develop robust linear receivers by exploring appropriate(More)
A multiple target track estimation method that operates directly from array data is presented. The maximum a-posteriori (MAP) estimator for contact states is derived for temporally uncorrelated signals and uncorrelated contact tracks, where the number of contacts is assumed known. This estimator is an iterative algorithm employing a nonlinear programming(More)
The problem of broadband range and bearing estimation is considered. It is demonstrated that the MUSIC technique can be implemented with an efficient search procedure, alternating maximization, for estimating range and bearing. Range-bearing estimation performance is compared via simulation to MVDR and to the Cramer-Rao lower bound. Experimental range(More)
A general framework for adaptive and non-adaptive spacetime beampattern synthesis using quadratic beampattern constraints with minimum mean-square error (MMSE) and linearly constrained minimum variance (LCMV) beamforming is presented. Main beam and sidelobe pattern control is achieved by imposing a set of inequality constraints on the weighted mean-square(More)
Bounds on the MSE in estimating the bearing of a planewave signal is of considerable interest in many fields. Of particular importance is the ability of a bound to closely characterize performance in the small error or asymptotic region, and the large error or ambiguity region, and to accurately predict the location of the threshold between the regions. In(More)