An algorithm for the calibration of sensor arrays with sensor gain and phase uncertainties

Authors:
M. Ali;J. Gotze;R. Pauli
Affiliations:
Inst. for Network Theory & Circuit Design, Tech. Univ. Munich, Germany;Inst. for Network Theory & Circuit Design, Tech. Univ. Munich, Germany;Inst. for Network Theory & Circuit Design, Tech. Univ. Munich, Germany
Venue:
ICASSP '93 Proceedings of the Acoustics, Speech, and Signal Processing, 1993. ICASSP-93 Vol 4., 1993 IEEE International Conference on - Volume 04
Year:
1993

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Abstract

A powerful, efficient non-iterative array calibration algorithm is presented. The algorithm determines the gain and phase compensation for translational invariant, particularly linear uniform arrays which are the basis for many efficient array processing algorithms. Starting with N measurements of the desired M-element array scan range, the algorithm computes just 2M weighted scalar products of N-element vectors and solves a (M-2)*(M-2) tridiagonal system of normal equations. An exact knowledge of the source position is not necessary. The algorithm also compensates for angle dependent model deviations like near field effects or element pattern mismatch in a least squares sense within the scan range.