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Array processing involves manipulation of signals induced on various antenna elements. Its capabilities of steering nulls to reduce co channel interferences and pointing independent beams toward various mobiles, as well as its ability to provide estimates of directions of radiating sources, make it attractive to a mobile communication system designer. In this paper MUSIC algorithm was implemented in Matlab to optimize the number of samples and number of elements with the presence of noise. The optimization was conducted in different configurations to improve the performance of the algorithm in estimating the direction of arrival (DOA) of the incident signals. The data captured was analysed in order to obtain the real performance of the algorithm by using statistical analysis.