Performance study of conditional and unconditional direction-of-arrival estimation

A numerical and analytical study of conditional and unconditional direction-of-arrival (DOA) estimation is presented. Explicit expressions for the unconditional Cramer-Rao bounds on the DOA estimation accuracy and the covariance matrix of the conditional maximum likelihood method are given. It is shown that many DOA estimation methods have the same asymptotic statistical properties under conditional and unconditional models. The situation of two narrowband plane signals impinging on a uniformly spaced linear array is discussed. >

[1]  Z. Bai,et al.  On detection of the number of signals in presence of white noise , 1985 .

[2]  M. Kendall,et al.  The advanced theory of statistics , 1945 .

[3]  Arye Nehorai,et al.  Maximum likelihood estimation of exponential signals in noise using a Newton algorithm , 1988, Fourth Annual ASSP Workshop on Spectrum Estimation and Modeling.

[4]  Benjamin Friedlander,et al.  Computation of the exact information matrix of Gaussian time series with stationary random components , 1985, 1985 24th IEEE Conference on Decision and Control.

[5]  J. Bohme.  Source-parameter estimation by approximate maximum likelihood and nonlinear regression , 1985 .

[6]  Mostafa Kaveh,et al.  On the statistical sufficiency of the coherently averaged covariance matrix for the estimation of the parameters of wideband sources , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[7]  J. Zhu,et al.  Effects of sensor position and pattern perturbations on CRLB for direction finding of multiple narrow-band sources , 1988, Fourth Annual ASSP Workshop on Spectrum Estimation and Modeling.

[8]  A. G. Jaffer,et al.  Maximum Likelihood Angular Resolution of Multiple Sources , 1985, Nineteeth Asilomar Conference on Circuits, Systems and Computers, 1985..

[9]  Ilan Ziskind,et al.  Maximum likelihood localization of multiple sources by alternating projection , 1988, IEEE Trans. Acoust. Speech Signal Process..

[10]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[11]  Hong Wang,et al.  On the performance of signal-subspace processing- Part I: Narrow-band systems , 1986, IEEE Trans. Acoust. Speech Signal Process..

[12]  G. Bienvenu,et al.  Optimality of high resolution array processing using the eigensystem approach , 1983 .

[13]  Petre Stoica,et al.  MUSIC, maximum likelihood and Cramer-Rao bound , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[14]  R. R. Boorstyn,et al.  Multiple tone parameter estimation from discrete-time observations , 1976, The Bell System Technical Journal.

[15]  Yoram Bresler,et al.  Exact maximum likelihood parameter estimation of superimposed exponential signals in noise , 1986, IEEE Trans. Acoust. Speech Signal Process..

[16]  Ramdas Kumaresan,et al.  An algorithm for pole-zero modeling and spectral analysis , 1986, IEEE Trans. Acoust. Speech Signal Process..

[17]  Ehud Weinstein,et al.  Parameter estimation of superimposed signals using the EM algorithm , 1988, IEEE Trans. Acoust. Speech Signal Process..

[18]  Kon Max Wong,et al.  Effects of random sensor motion on bearing estimation by the MUSIC algorithm , 1988 .

[19]  Ken Sharman,et al.  Maximum likelihood parameter estimation by simulated annealing , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[20]  Hagit Messer,et al.  Estimation of source location and spectral parameters with arrays subject to coherent interference , 1987 .

[21]  Petre Stoica,et al.  Maximum likelihood methods for direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[22]  A. G. Jaffer,et al.  Maximum likelihood direction finding of stochastic sources: a separable solution , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[23]  Ralph Otto Schmidt,et al.  A signal subspace approach to multiple emitter location and spectral estimation , 1981 .

[24]  P. Stoica,et al.  On the expectation of the product of four matrix-valued Gaussian random variables , 1988 .

[25]  J. Bohme,et al.  Accuracy of maximum-likelihood estimates for array processing , 1987, ICASSP '87. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[26]  Y. Bresler.  Maximum likelihood estimation of a linearly structured covariance with application to antenna array processing , 1988, Fourth Annual ASSP Workshop on Spectrum Estimation and Modeling.

[27]  Hong Wang,et al.  On the theoretical performance of a class of estimators of the number of narrow-band sources , 1987, IEEE Trans. Acoust. Speech Signal Process..

[28]  Lennart Ljung,et al.  Asymptotic results for sensor array processing , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[29]  Petre Stoica,et al.  MUSIC, maximum likelihood, and Cramer-Rao bound , 1989, IEEE Transactions on Acoustics, Speech, and Signal Processing.

[30]  H. Clergeot,et al.  More on optimality of EVD methods for bearing estimation , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[31]  N. R. Goodman.  Statistical analysis based on a certain multivariate complex Gaussian distribution , 1963 .

[32]  Petre Stoica,et al.  MUSIC, maximum likelihood and Cramer-Rao bound: further results and comparisons , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[33]  J. F. Böhme,et al.  Estimation of spectral parameters of correlated signals in wavefields , 1986 .