Methods and apparatuses for triggering a low-power receiver (LR). A method of a user equipment (UE) in a wireless communication system is provided. The method includes receiving a physical downlink control channel (PDCCH); determining, based on the PDCCH, a downlink control information (DCI) format including an indication on whether to activate a LR to receive a low-power wake up signal (LP-WUS); determining, based on the indication in the DCI format, to activate the LR; determining monitoring occasions for the LP-WUS; and receiving the LP-WUS based on the monitoring occasions.