Methods and apparatuses for transmitting and receiving signaling, by a User Equipment (UE) with reduced processing capabilities, to conserve power are provided. A method for transmitting from a network a Physical Downlink Shared CHannel (PDSCH) to a first User Equipment (UE) from a first class of UEs or to a second UE from a second class of UEs, includes transmitting a PDSCH to the first UE using a first bandwidth unit; and transmitting a PDSCH to the second UE using a second bandwidth unit, wherein the second bandwidth unit is smaller than the first bandwidth unit.