Array self calibration with large sensor position errors

Self-calibration algorithms estimate both source directions-of-arrival (DOAs) and perturbed array response vector parameters, such as sensor locations. Calibration errors are usually assumed to be small and a first order approximation to the perturbed array response vector is often used to simplify the estimation procedure. In this paper, we develop a new procedure that does not rely on the small error assumption. It has better performance for large estimation errors, and when used to initialize the Weiss and Friedlander (1991) MUSIC-based iterative technique, we see significant improvement over existing techniques for both small and large errors.

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

[2]  Harry Lee,et al.  Maximum likelihood methods for determining the direction of arrival for a single electromagnetic source with unknown polarization , 1994, IEEE Trans. Signal Process..

[3]  Lloyd J. Griffiths,et al.  Steering vector estimation in uncalibrated arrays , 1995, IEEE Trans. Signal Process..

[4]  B. Friedlander,et al.  Algorithm for steering vector estimation using second order moments , 1995, Conference Record of The Twenty-Ninth Asilomar Conference on Signals, Systems and Computers.

[5]  A.P.-C. Ng Direction-of-arrival estimates in the presence of wavelength, gain, and phase errors , 1995, IEEE Trans. Signal Process..

[6]  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.

[7]  Anthony J. Weiss,et al.  Direction finding via joint diagonalization , 1996, Proceedings of 8th Workshop on Statistical Signal and Array Processing.

[8]  P. Schultheiss,et al.  Localization performance of arrays subject to phase errors , 1988 .

[9]  Sumit Roy,et al.  Joint DOA estimation and phase calibration of linear equispaced (LES) arrays , 1994, IEEE Trans. Signal Process..

[10]  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..

[11]  Lang Tong,et al.  A subspace method for estimating sensor gains and phases , 1994, IEEE Trans. Signal Process..

[12]  Anthony J. Weiss,et al.  Detection and localization in colored noise via generalized least squares , 1996, IEEE Trans. Signal Process..

[13]  Bo Wahlberg,et al.  Robust signal parameter estimation in the presence of array perturbations , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[14]  A. Lee Swindlehurst,et al.  Analysis of the combined effects of finite samples and model errors on array processing performance , 1994, IEEE Trans. Signal Process..

[15]  Sofiène Affes,et al.  Wideband multi-source beamforming with adaptive array location calibration and direction finding , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

[16]  Anthony J. Weiss,et al.  Localization of correlated and uncorrelated signals in colored noise via generalized least squares , 1995, 1995 International Conference on Acoustics, Speech, and Signal Processing.

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

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

[19]  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).

[20]  Athanassios Manikas,et al.  A new general global array calibration method , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[21]  A. El-Jaroudi,et al.  Robust high-resolution direction-of-arrival estimation via signal eigenvector domain , 1993 .

[22]  Ridha Hamza,et al.  An analysis of weighted eigenspace methods in the presence of sensor errors , 1995, IEEE Trans. Signal Process..

[23]  Antonio Cantoni,et al.  Broadband eigenvector methods for towed array shape estimation with a single source , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

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

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

[26]  Anthony J. Weiss,et al.  Array shape calibration using eigenstructure methods , 1991, Signal Process..

[27]  Mostafa Kaveh,et al.  Experimental performance of calibration and direction-finding algorithms , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[28]  G. H. Golub,et al.  A robust numerical approach for array calibration , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[29]  A. Lee Swindlehurst,et al.  A Performance Analysis ofSubspace-Based Methods in thePresence of Model Errors { Part I : The MUSIC AlgorithmA , 1992 .

[30]  Daniel R. Fuhrmann Estimation of sensor gain and phase using known field covariance , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[31]  Ming Zhang,et al.  A method for direction finding under sensor gain and phase uncertainties , 1995 .

[32]  Athanassios Manikas,et al.  Modelling and estimation of mutual coupling between array elements , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[33]  Mati Wax,et al.  Direction finding of coherent signals via spatial smoothing for uniform circular arrays , 1994 .

[34]  Björn E. Ottersten,et al.  Weighted subspace fitting for general array error models , 1998, IEEE Trans. Signal Process..

[35]  M. Er,et al.  Array gain/phase calibration techniques for adaptive beamforming and direction finding , 1994 .

[36]  Arogyaswami Paulraj,et al.  Fast techniques for sensor array calibration , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[37]  A. Lee Swindlehurst,et al.  A Performance Analysis of Subspace-Based Methods in the Presence of Model Errors: Part &-Multidimensional Algorithms , 1993 .

[38]  Colin Cowan,et al.  Sensor array calibration using measured steering vectors of uncertain location , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[39]  D.R. Fuhrmann,et al.  Estimation of sensor gain and phase , 1994, IEEE Trans. Signal Process..