We present in this paper a multiple linear regression scheme in the L-norm which operates on the array output covariance matrix. The proposed method rectifies the covariance matrix by exploiting the structural properties resulting from the array geometry. In the case of a defective sensor, it is able to fully restore the covariance which would be observed if all sensors were working correctly. Simulations in Direction Of Arrival estimation with a uniform circular array demonstrate the interest of this L approach compared to conventional L techniques.
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