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In this paper, we propose a new method to design an annihilating filter (AF) for direction-of-arrival (DOA) estimation of multiple snapshots within an uniform linear array. To evaluate the proposed method, we firstly design a DOA estimation using multiple signal classification (MUSIC) algorithm, considered as the MUSIC baseline. We then modify the MUSIC baseline to adapt both white noise and diffusion noise, referred to as the extended MUSIC. We compare the proposed AF-based method with the MUSIC baseline and the extended MUSIC in two environmental noise conditions: Only white noise, or both white noise and diffusion noise. The experimental results highlight two main contributions; the first is to modify conventional MUSIC algorithm for adapting different noise conditions, and the second is to propose an AF-based method that shows competitive accuracy of arrival angles detected and low complexity …