Statistics of the phase delays between array receivers estimated from the eigendecomposition of the signal correlation matrix

Author

Smith, J.J. ; Leung, Y.H. ; Cantoni, A.

Author_Institution

Dept. of Electr. & Electron. Eng., Western Australia Univ., Crawley, WA, Australia

Volume

ii

fYear

1994

fDate

19-22 Apr 1994

Abstract

The eigenvector method for estimating the positions of the receivers of an ocean-towed array is based on the eigendecomposition of the array signal correlation matrix to find the phase delays between the array receivers. This paper derives the mean, variance and covariance of the phase delays when the correlation matrix is estimated from receiver data. It is shown that the variance of the relative phase delays is inversely proportional to the number of snapshots and SNR but relatively independent of the size of the correlation matrix. The theoretical derivations are supported by numerical simulations

Keywords

acoustic receivers; array signal processing; correlation methods; delays; eigenvalues and eigenfunctions; matrix algebra; phase estimation; underwater sound; SNR; array receivers; array signal correlation matrix; covariance; eigendecomposition; eigenvector method; mean; numerical simulations; ocean-towed array; phase delays; receiver data; receiver position estimation; snapshots; variance; Adaptive signal processing; Covariance matrix; Delay estimation; Eigenvalues and eigenfunctions; Frequency; Laboratories; Phase estimation; Phased arrays; Signal to noise ratio; Statistics;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on

Conference_Location

Adelaide, SA

ISSN

1520-6149

Print_ISBN

0-7803-1775-0

Type

conf

DOI

10.1109/ICASSP.1994.389653

Filename

389653