A method for processing multiple overlapping channels includes: transmitting, by a base station comprising a processor and a memory, a channel comprising a plurality of physical downlink shared channels (PDSCH) in a slot, the PDSCHs being organized into one or more sub-groups of overlapping PDSCHs; and receiving, by the base station and from a mobile station, an acknowledgment (ACK) or a negative acknowledgment (NACK) for two or more overlapping PDSCHs in at least one of the one or more sub-groups in the slot.