Method of physical downlink control channel monitoring and related device

A user equipment (UE) monitoring a physical downlink (DL) control channel (PDCCH) in a wireless communication system, the UE comprising:

• a transceiver;
• a non-transitory machine-readable medium for storing the computer-executable instructions;
• and
• at least one processor coupled to the transceiver and the non-transitory machine-readable medium, for executing the computer-executable instructions, the computer-executable instructions causing the UE to:
• receive, via the transceiver, a first configuration from a base station to configure the UE with a first search space of the PDCCH, wherein the first search space is used for monitoring a scheduling signal used for indicating scheduling information;
• receive, via the transceiver, a second configuration from the base station to configure the UE with a second search space of the PDCCH, wherein the second search space is used for monitoring a power saving signal used for indicating wake-up information associated with a Discontinuous Reception (DRX) functionality;
• monitor, via the transceiver, the first search space according to the first configuration in response to the UE being in a DRX active time of the DRX functionality, wherein the DRX active time is a time during which the UE monitors the PDCCH for the scheduling information;
• monitor, via the transceiver, the second search space according to the second configuration in response to the UE being in a DRX inactive time of the DRX functionality;
• not monitor, via the transceiver, the second search space in response to at least one of the UE performing a beam failure recovery procedure and the UE monitoring a third search space, wherein the third search space is configured for the UE to monitor a beam failure response from the base station.