Title :
Range and depth estimation using a vertical array in a correlated multipath environment
Author :
Yuan, Yun Xiang ; Salt, J. Eric
Author_Institution :
Dept. of Electr. Eng., Saskatchewan Univ., Saskatoon, Sask., Canada
fDate :
10/1/1993 12:00:00 AM
Abstract :
The effects of correlation between time-difference-of-arrival (TDOA) estimates on the localization of an underwater source in a direct-surface reflected propagation environment is investigated for a two-element vertical array with omnidirectional sensors. Expressions for the covariance matrix of the noisy TDOAs are derived. The results show that the estimated TDOAs are correlated and that the degree of correlation depends on the relative location of the source. Expressions for variances of range and depth estimators are developed using a least-squares technique. The results show that the expressions for variances of the range and depth estimators can be in error by as much as a factor 3.3 if the correlation among the TDOAs is ignored. The expressions for the covariances of the TDOAs and the expressions for the variances of the range and depth, which incorporate the correlation in the TDOAs, are corroborated with Monte Carlo simulations
Keywords :
acoustic arrays; acoustic signal processing; correlation methods; least squares approximations; matrix algebra; parameter estimation; underwater sound; Monte Carlo simulations; covariance matrix; depth estimation; direct-surface reflected propagation; least-squares technique; localization; omnidirectional sensors; range estimation; sonar; time-difference-of-arrival estimates; two-element vertical array; underwater source; vertical array; Acoustic propagation; Acoustic sensors; Covariance matrix; Delay estimation; Sea surface; Sensor arrays; Sensor systems; Signal to noise ratio; Time difference of arrival; Working environment noise;
Journal_Title :
Oceanic Engineering, IEEE Journal of
