Proceedings ArticleDOI
Source power estimation method associated with high resolution bearing estimator
G. Bienvenu,L. Kopp +1 more
- Vol. 6, pp 153-156
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TLDR
It is shown in this paper that from this set of eigenvectors and the corresponding eigenvalues, an estimator for the sources spectral densities can be derived.Abstract:
In the eigenvalue - eigenvector decomposition of the spectral density matrix of the signals received on a passive array, two sets of eigenvectors are found. The first set contains eigenvectors which are asymptotcally orthogonal to the sources direction vectors : from them a high resolution bearing estimator has been deduced. The other set contains eigenvectors which are asymptotically a basis for the sources direction vectors space. It is shown in this paper that from this set and the corresponding eigenvalues, an estimator for the sources spectral densities can be derived. Simulation results are given.read more
Citations
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Journal ArticleDOI
Spatio-temporal spectral analysis by eigenstructure methods
TL;DR: In this paper, the eigenstructure of the covariance and spectral density matrices of the received signals is used for estimating the spatio-temporal spectrum of the signals received by a passive array.
Journal ArticleDOI
The application of spectral estimation methods to bearing estimation problems
TL;DR: In this paper, the equivalence between the problem of determining the bearing of a radiating source with an array of sensors and estimating the spectrum of a signal is demonstrated, and the spectral estimation algorithms are derived within the context of array processing using an algebraic approach.
Journal ArticleDOI
Optimality of high resolution array processing using the eigensystem approach
G. Bienvenu,L. Kopp +1 more
TL;DR: In this article, a covariance matrix test for equality of the smallest eigenvalues is presented for source detection, and a best fit method and a test of orthogonality between the "smallest" eigenvectors and the "source" vectors are discussed.
Journal ArticleDOI
Improving the resolution of bearing in passive sonar arrays by eigenvalue analysis
Don H. Johnson,Stuart DeGraaf +1 more
TL;DR: In this article, an adaptive beamforming method is proposed to improve the bearing resolution of a passive array, having many similarities to the minimum energy approach, where the evaluation of energy in each steered beam is preceded by an eigenvalue-eigenvector analysis of the empirical correlation matrix.
Journal ArticleDOI
Optimum localization of multiple sources by passive arrays
Mati Wax,Thomas Kailath +1 more
TL;DR: The maximum likelihood (ML) estimator of the location of multiple sources and the corresponding Cramer-Rao lower bound on the error covariance matrix are derived and Iterative algorithms for the actual computation of the ML estimator are presented.
References
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Journal ArticleDOI
The Retrieval of Harmonics from a Covariance Function
TL;DR: In this paper, a new method for retrieving harmonics from a covariance function is introduced, based on a theorem of Caratheodory about the trigonometrical moment problem.
Proceedings ArticleDOI
Adaptivity to background noise spatial coherence for high resolution passive methods
G. Bienvenu,L. Kopp +1 more
TL;DR: It is shown in this paper that if the spatial coherence of the background noise is not exactly known but can be modelized by a function which depends on some parameters, these parameters can be estimated and the high resolution method carried out.
Journal ArticleDOI
Underwater passive detection and spatial coherence testing
TL;DR: A detection test using the shape of the spatial coherence matrix of the background noise and the output of the adaptive antenna is proposed and theoretical asymptotic results and simulations are presented.
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