A system and method are provided to facilitate establishing WiGig communications links between WiGig-enabled wireless devices and WiGig PBSS Control Points and Access Points (PCP/AP). The PCP/AP transmits beacons that are intended to assist the wireless devices in locating the PCP/AP. Based on the directional nature of WiGig communications, the beacons are transmitted directionally in a number of sectors in multiple directions simultaneously or in sequence. When devices, such as wireless devices, attempting to connect via a PCP/AP, are positioned very close to the PCP/AP, the devices may be incapable of receiving the transmitted beacons because the low noise amplifier (LNA) located in the individual wireless device receiver may become saturated. The disclosed systems and methods broadcast the beacons at lower power according to different schemes at certain intervals to avoid saturating the LNAs.