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The important problem of self-calibration of phased arrays for unknown gain and phase errors in conjunction with their use in high-resolution direction of arrival (DOA) estimation is addressed. We consider the problem for the canonical (and widely used) linear equispaced (LES) array with a constant but unknown gain and phase response and develop an algorithm that does not require any a-priori knowledge of the direction of arrival of a signal. Analytical results are presented regarding estimator performance that are verified by a representative body of simulations.

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The writer wishes to express her sincere appreciation to Professor Walter B. Pillsbury under whose guidance the following problem was carried on. She also wishes to thank Professor John F. Shepard for his interest and Dr. Carl R. Brown for suggestions in regard to the mathematical treatment of data.To Doctor Albert M. Barrett of the State Psychopathic Hospital and Doctor E. A. Christian of the Pontiac State Hospital the writer's thanks are here expressed for their interest and their provision of excellent facilities for the experimental work. To the patients, students and others who served as subjects her hearty thanks are given.