Multisource delay estimation: nonstationary signals [underwater acoustics]

The authors study delay estimation in a very general framework: multiple sources, correlated noises, nonstationary random signals, and varying delays. The optimal maximum likelihood (ML) delay estimator is derived; its performance via the Cramer-Rao inequality is analyzed; and it is tested by experimentation with synthetic data. The present time-varying delay estimator extends to the nonstationary/multisource environment the estimators of L.C. Ng and Y. Bar-Shalom (1986), L.R. Kirlin and L.A. Dewey (1985), and C.H. Knapp and G.C. Carter (1976). However, the present receiver significantly departs from the correlator structures of those authors. >

[1]  J. Seinfeld,et al.  Filtering in nonlinear time delay systems , 1974 .

[2]  I.M.G. Lourtie,et al.  Joint Delay and Signal Determination , 1989 .

[3]  R. Lynn Kirlin,et al.  Optimal delay estimation in a multiple sensor array having spatially correlated noise , 1983, IEEE Trans. Acoust. Speech Signal Process..

[4]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[5]  Roy Bethel,et al.  An Optimum First-Order Time Delay Tracker , 1987, IEEE Transactions on Aerospace and Electronic Systems.

[6]  Yaakov Bar-Shalom,et al.  Multisensor multitarget time delay vector estimation , 1986, IEEE Trans. Acoust. Speech Signal Process..

[7]  J. Hassab,et al.  Optimum estimation of time delay by a generalized correlator , 1979 .

[8]  G. Clifford Carter,et al.  Time delay estimation , 1976, ICASSP.

[9]  G. Carter,et al.  The generalized correlation method for estimation of time delay , 1976 .

[10]  G. Clifford Carter,et al.  Estimation of time delay in the presence of source or receiver motion , 1977 .

[11]  José M. F. Moura,et al.  A Monte Carlo study of absolute phase determination , 1983, IEEE Trans. Inf. Theory.

[12]  J. Moura,et al.  Passive systems theory with narrow-band and linear constraints: Part III - Spatial/Temporal diversity , 1979, IEEE Journal of Oceanic Engineering.

[13]  Jean-Daniel Dessimoz Curve smoothing for improved feature extraction from digitized pictures , 1979 .

[14]  I.M.G. Lourtie,et al.  Optimal estimation of time-varying delay , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[15]  H. Kwakernaak,et al.  Optimal filtering in linear systems with time delays , 1967, IEEE Transactions on Automatic Control.

[16]  I. Lourtie,et al.  Time delay determination: Maximum likelihood and Kalman-Bucy type structures , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[17]  R. Kubichek,et al.  Improvement of delay measurements from sonar arrays via sequential state estimation , 1981 .

[18]  A. Yaglom,et al.  An Introduction to the Theory of Stationary Random Functions , 1963 .

[19]  Jose M. F. Moura,et al.  Algorithm structures for cyclic phase estimation , 1981 .

[20]  J. Moura,et al.  Passive systems theory with narrow-band and linear constraints: Part II - Temporal diversity , 1979, IEEE Journal of Oceanic Engineering.

[21]  José M. F. Moura,et al.  Phase unwrapping of signals propagated under the Arctic ice crust: a statistical approach , 1988, IEEE Trans. Acoust. Speech Signal Process..