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Continuing to estimate the Direction-of-arrival (DOA) of the signalsimpinging on the antenna array, even when a few elements of the underlyingUniform Linear Antenna Array (ULA) fail to work will be of practical interestin RADAR, SONAR and Wireless Radio Communication Systems. This paper proposes anew technique to estimate the DOAs when a few elements are malfunctioning. Thetechnique combines Singular Value Thresholding (SVT) based Matrix Completion(MC) procedure with the Direct Data Domain (D^3) based Matrix Pencil (MP)Method. When the element failure is observed, first, the MC is performed torecover the missing data from failed elements, and then the MP method is usedto estimate the DOAs. We also, propose a very simple technique to detect thelocation of elements failed, which is required to perform MC procedure. Weprovide simulation studies to demonstrate the performance and usefulness of theproposed technique. The results indicate a better performance, of the proposedDOA estimation scheme under different antenna failure scenarios.

Fault Tolerant Matrix Pencil Method for Direction of Arrival Estimation