This paper presents the performance evaluation of Direction of Arrival (DOA) estimation techniques such as Root-MUSIC, Root-WSF and Beamspace-ESPRIT (BS-ESPRIT) algorithms under common Wi-Fi conditions such as operating in the IEEE radio frequency spectrum of 5 GHz band, the presence of noise and correlated, closely sourced signals. In addition, we will consider the computational time required for these algorithms to complete the estimation process. Results have shown that the 3 techniques provide a mean of 98.8% accuracy in detecting closely-sourced signals. Although Root-WSF has the longest average computational time of 36.7 ms as opposed to BS-ESPRIT and Root-MUSIC at 29.4 ms and 22.5 ms respectively, Root-WSF technique performed best overall especially in detecting coherent signals with 99.78% accuracy as compared to BS-ESPRIT at 95.27% and Root-MUSIC at 64.77%.