Multisource Self-calibration for Sensor Arrays

Details Multisource Self-calibration for Sensor Arrays Multisource Self-calibration for Sensor Arrays

2010-03-09

arxiv.org/abs/1003.1892v1

IEEE Transactions on Signal Processing, vol. 57, no. 9, September 2009, pp3512-3522

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

11 pages, 8 figures

Scientific paper

10.1109/TSP.2009.2022894

Calibration of a sensor array is more involved if the antennas have direction dependent gains and multiple calibrator sources are simultaneously present. We study this case for a sensor array with arbitrary geometry but identical elements, i.e. elements with the same direction dependent gain pattern. A weighted alternating least squares (WALS) algorithm is derived that iteratively solves for the direction independent complex gains of the array elements, their noise powers and their gains in the direction of the calibrator sources. An extension of the problem is the case where the apparent calibrator source locations are unknown, e.g., due to refractive propagation paths. For this case, the WALS method is supplemented with weighted subspace fitting (WSF) direction finding techniques. Using Monte Carlo simulations we demonstrate that both methods are asymptotically statistically efficient and converge within two iterations even in cases of low SNR.

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