A method is provided for carrying out a power saving procedure in a wireless subscriber terminal which is operative to receive at least two different services, each of which is characterized by one or more characteristics related to traffic demands associated with that service. The method comprises the following steps: classifying each of the at least two different services based on their traffic demand related characteristics into corresponding power saving classes, where there are at least two different power saving classes associated with the at least two different services; for each of the power saving classes, determining required listening windows and required sleep windows; exchanging messages between the base station and the subscriber's device for synchronizing parameters for carrying out the power saving procedure.