Array shape self-calibration technique for direction finding problems

A self-calibration technique is proposed to handle the bearing estimation problem involving unknown perturbed sensor location. This calibration technique is applied on the MUSIC estimator in finding the direction of arrival (DOA) of plane waves in white noise. The basic idea of the technique is to maximise the total output power from the MUSIC estimator in the directional or frequency regions of interest while imposing constraints on the length of projection of the signal position vector on the noise subspace. This technique exhibits relatively stable performance over other existing techniques in the sense that it converges to the required solution consistently. However, this is achieved at the expense of heavy computational load. This is illustrated with numerical results obtained from the computer studies conducted