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, the 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.