A smart antenna is an innovative compatibility of antenna array elements and signal-processing algorithm to achieve maximum spectral efficiency and capacity in wireless communication networks. This technique consists of an adaptive antenna array that continuously adjusts its radiation characteristics (main lobe beam-width, side lobe levels, and zero-point function) to provide a narrow beam in the direction of the desired signal arrival and to establish zero points in the direction of interference, thus ensuring the highest signal to interference and noise ratio (SINR). Adaptive beamforming is an effective method for improving spatial selectivity in smart antenna systems operating in interference-prone wireless environments. This paper presents a simulation-based study of the least squares (LMS) algorithm using a uniform linear array (ULA) in the presence of both signal of interest and interference signals. A MATLAB-based simulation model is developed to analyze the adaptive behavior of the beamformer under various scenarios. The evaluation is conducted using matrix operator responses, mean squared error (MSE), adaptive weight evolution, and desired signal tracking. The results demonstrate the ability of the LMS algorithm to achieve adaptive spatial filtering with stable convergence and reliable interference mitigation................. Keywords:............Smart antenna, adaptive beamforming, inter-symbol Interference (ISI), Least Mean Squares (LMS) Algorithm.