Asymptotic Statistics for Wavenumber Estimation

The use of an array of sensors for determining the properties of propagating waves is of considerable importance in many applications. For example, in radar and sonar, an array of sensors is used to determine the spectral content and spatial coordinates of targets. In many situations estimates of th...

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Bibliographic Details
Main Authors: Gingras, D F, Hobbs, S L
Format: Report
Language:English
Subjects:
ARRAYS
ASYMPTOTIC SERIES
Atomic and Molecular Physics and Spectroscopy
COORDINATES
DETECTORS
EIGENVALUES
EIGENVECTORS
ESTIMATES
PARAMETERS
PROCESSING
RADAR
REPRINTS
SONAR
SPATIAL DISTRIBUTION
SPECTRA
STATISTICS
Statistics and Probability
TARGETS
TIME SERIES ANALYSIS
WAVE PROPAGATION
WUDN305106
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Summary:The use of an array of sensors for determining the properties of propagating waves is of considerable importance in many applications. For example, in radar and sonar, an array of sensors is used to determine the spectral content and spatial coordinates of targets. In many situations estimates of the spectral and spatial parameters are based on the estimated cross-spectral matrix. In this paper we establish asymptotic distributional properties for wave number estimates using the asymptotic statistical properties of eigenvalues and eigenvectors of smoothed cross-spectral matrix estimates. Keywords: Reprints; Array processing; Time series analysis. Availability: Pub. in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, 1p Apr 1987. No copies furnished by DTIC/NTIS.