The main focus of the adaptive array smart antennas is to create such a beamforming system in which the main beam is directed towards the desired signal and the nulls is directed towards the interferers. These type of adaptive smart antennas is used widely in Automotive Radars. Various DOA estimation algorithms is used to achieve such objectives. But the challenge is such that we have a fixed number of snapshots available in such application. So it is a difficult task to achieve our desired results while at the same time keeping the restriction of snapshots availability. Here in this paper we will implement the MUSIC algorithm and will show the superiority of such algorithm over another ones being done in the literature. It is shown that by implementing MUSIC algorithm in multipath Environment we obtain higher angular resolutions and hence it is explored in much more detail. The algorithm is implemented by varying various parameters of smart antenna systems. The simulation results shows that MUSIC is more accurate and stable for two closely spaced signals.