Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389653
