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A smart antenna is an antenna array system aided by some 'smart' algorithm designed to adapt to different signal environments. Smart antennas mitigate the problem of fading through diversity reception and beamforming, while minimizing interference through spatial filtering. For both switched beam and fully adaptive arrays, a myriad of algorithms have been developed to extract wireless signals from a variety of environments. The performance of a particular smart antenna system depends on how well-suited a chosen adaptive algorithm is to its operating signal environment. The best algorithm for a particular array system must, not only account for the signal environment at hand, but also for a number of other practical considerations, including synchronization, the presence or absence of carrier offsets, the reliability of array calibration data, and hardware cost. In this paper, the implementation of popular adaptive algorithms, namely LMS and RLS algorithms in MATLAB, along with the corresponding results, have been presented. [ABSTRACT FROM AUTHOR]