Systems and methods of transmitting a multi-user (MU) wake-up packet in FDMA. In the wake-up setup stage, an STA informs the AP that it can resolve an MU wake-up packet transmitted in FDMA. Accordingly, AP allocates a frequency channel to the STA in a WUR setup response frame which indicates a channel offset relative to the primary channel. Moreover, if a WUR channel allocated to an STA is inaccessible or there is on pending wake-up signal for the STA, no wake-up signal is included in the MU wake-up packet while any other accessible allocated channels may still be utilized for transmitting the scheduled wake-up signals. During such a transmission, an inaccessible channel may be punctured; and an accessible channel having no pending wake-up signal may be used to carry an invalid wake-up signal or a legacy preamble followed with no wake-up signal.