Direction-of-arrival estimation in partly calibrated subarray-based sensor arrays

The problem of direction-of-arrival (DOA) estimation in partly calibrated arrays is addressed. We assume that an array is composed of multiple well-calibrated subarrays of arbitrary known geometry, but there are imperfections between subarrays. We address the cases of unknown (or known with a certain error) intersubarray displacements, imperfect synchronization of subarrays in time, unknown propagation channel mismatches between subarrays, as well as combinations of these effects. A new subspace-based approach to DOA estimation is proposed, which is applicable to this general class of partly calibrated arrays. DOA identifiability issues for such arrays are discussed, and a relevant Cramer-Rao bound (CRB) is derived. Numerical examples illustrate the performance of the proposed estimators.

[1]  Marius Pesavento,et al.  Direction finding in partly calibrated sensor arrays composed of multiple subarrays , 2002, IEEE Trans. Signal Process..

[2]  A. Lee Swindlehurst,et al.  A Bayesian approach to auto-calibration for parametric array signal processing , 1994, IEEE Trans. Signal Process..

[3]  Athanassios Manikas,et al.  Manifold studies of nonlinear antenna array geometries , 2001, IEEE Trans. Signal Process..

[4]  Chong Meng Samson See,et al.  Subspace-based direction finding in partly calibrated arrays of arbitrary geometry , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[5]  Petre Stoica,et al.  Performance study of conditional and unconditional direction-of-arrival estimation , 1990, IEEE Trans. Acoust. Speech Signal Process..

[6]  Michael D. Zoltowski,et al.  Root-MUSIC-based azimuth-elevation angle-of-arrival estimation with uniformly spaced but arbitrarily oriented velocity hydrophones , 1999, IEEE Trans. Signal Process..

[7]  Michael D. Zoltowski,et al.  Closed-form eigenstructure-based direction finding using arbitrary but identical subarrays on a sparse uniform Cartesian array grid , 2000, IEEE Trans. Signal Process..

[8]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[9]  Marius Pesavento,et al.  On uniqueness of direction of arrival estimates using RAnk Reduction Estimator (RARE) , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  B. Porat,et al.  Accuracy requirements in off-line array calibration , 1997, IEEE Transactions on Aerospace and Electronic Systems.

[11]  B. C. Ng,et al.  Sensor-array calibration using a maximum-likelihood approach , 1996 .

[12]  C. Engdahl,et al.  Direction-of-arrival estimation using separated subarrays , 2000, Conference Record of the Thirty-Fourth Asilomar Conference on Signals, Systems and Computers (Cat. No.00CH37154).

[13]  Athanassios Manikas,et al.  Modeling and estimation of ambiguities in linear arrays , 1998, IEEE Trans. Signal Process..

[14]  Arye Nehorai,et al.  Vector-sensor array processing for electromagnetic source localization , 1994, IEEE Trans. Signal Process..

[15]  Marius Pesavento,et al.  Direction of arrival estimation in partly calibrated time-varying sensor arrays , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[16]  K.M. Wong,et al.  Direction finding in partly calibrated arrays composed of nonidentical subarrays: a computationally efficient algorithm for the rank reduction (RARE) estimator , 2001, Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No.01TH8563).

[17]  Benjamin Friedlander.  Sensitivity analysis of high-resolution array processing algorithms , 1989, Sixth Multidimensional Signal Processing Workshop,.

[18]  Peter M. Schultheiss,et al.  Array shape calibration using sources in unknown locations-Part I: Far-field sources , 1987, IEEE Trans. Acoust. Speech Signal Process..

[19]  B. Carlson.  Covariance matrix estimation errors and diagonal loading in adaptive arrays , 1988 .

[20]  K. L. Bell,et al.  Improved array self calibration with large sensor position errors for closely spaced sources , 2000, Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop. SAM 2000 (Cat. No.00EX410).

[21]  A. Lee Swindlehurst,et al.  Exploiting arrays with multiple invariances using MUSIC and MODE , 2001, IEEE Trans. Signal Process..

[22]  Anthony J. Weiss,et al.  Eigenstructure approach for array processing with unknown intensity coefficients , 1988, IEEE Trans. Acoust. Speech Signal Process..

[23]  Benjamin Friedlander.  A sensitivity analysis of the MUSIC algorithm , 1990, IEEE Trans. Acoust. Speech Signal Process..

[24]  Arthur Jay Barabell,et al.  Improving the resolution performance of eigenstructure-based direction-finding algorithms , 1983, ICASSP.