A first communication device determines whether a second communication device is in a power save mode with respect to a first communication link among a plurality of communication links that correspond to respective frequency segments, and determines whether the second communication device is in a power save mode with respect to a second communication link among the plurality of communication links. The second communication device is permitted to be in the power save mode with respect to the second communication link when the second communication device is not in the power save mode with respect to the first communication link, and vice versa. The first communication device communicates with the second communication device in accordance with the power save modes of the second communication device with respect to the first and second communication links.