Increasing data traffic demands over wireless spectrum has necessitated spectrum sharing and coexistence between many heterogeneous systems. Citizen Broadband Radio Service band (3550 - 3700 GHz) is touted as one of the key frequency bands, recently opened by regulatory bodies for opportunistic secondary access, to enable improvements in the performance of wireless broadband and cellular systems. It is imperative that a secondary system coexisting with the primary incumbent users in these bands (typically naval radars) should not inflict any deleterious interference on the latter. In this context, this paper explores the feasibility of an LTE communication network coexisting in the same channel with an incumbent naval radar while not causing any impairments to normal radar performance. The broad idea is to have LTE base stations sense the pattern of radar transmissions (period, duration) and accordingly adjust the duty cycle of their transmissions by muting whenever radar transmissions are present. Implementation of LTE with duty cycles (also referred to as LTE-Unlicensed or LTE-U) is done using an open source platform called srsLTE. The setup is implemented in the Orbit testbed at WINLAB using USRP X310s. The set up is also used to study and quantify the impact of different radar transmission parameters on the performance of the coexisting LTE-U system such as attainable downlink throughput and latency. Results from these experiments show that an LTE-U eNodeB can harmoniously coexist with an incumbent radar at close quarters by appropriately muting its own transmissions in order to not detrimentally impact the performance of the latter, but suffers significant impairments in its own performance due to radar interference. This motivates a more careful design of radar waveform to facilitate such close-range coexistence of the LTE network without significant losses in the performance of the latter.