The advanced cellular network, long term evolution (LTE) that presently operates in licensed spectrum has been extended to unlicensed LTE (U-LTE) to improve data rate and spectral efficiency by utilizing unlicensed spectrum. Carrier aggregation of 3GPPLTE-A supports the aggregation of licensed and unlicensed spectrum in small and femto cells to provide better user experience. The proposed work consists of two objectives, first to accomplish the listen-before-talk (LBT) regulatory requirement of radio communication in U-LTE and the second to enhance their co-existence with Wi-Fi/IoT users in a non-interference style by reducing the back-off rate of Wi-Fi. The importance of spectrum utilization by the incumbent users of unlicensed band for the upcoming Internet of Things communications is also a key consideration in this work. The recently evolved intelligent technology viz. Cognitive radio (CR) is applied in the proposed system model to meet the objectives. A ground research is done in a simulation environment of LTE signals and 5 GHz band to evaluate the back-off rate of Wi-Fi. A comparative performance analysis between proposed and existing systems are also done and presented in this paper.