A method of performing a ranging process between a base station and a
mobile station in sleep mode in a wireless access system, wherein the
base station provides the mobile station with an initial notification of
a periodic ranging time that occurs during a sleep time interval and
during which the mobile station is to perform the ranging process, the
initial notification included in a first message indicating whether the
mobile station should terminate sleep mode to receive downlink data, and
wherein the base station provides the mobile station with subsequent
notifications of periodic ranging times that occur during the sleep time
interval, the subsequent notifications indicated in a second message, the
second message transmitted to the mobile station as part of the ranging
process such that the mobile station performs a plurality of ranging
processes within the sleep time interval.