To conserve power, a terminal operates in a “power save” mode in which the terminal is in a “doze” state when there is a low probability of receiving an incoming packet and in an “awake” state when an incoming packet is expected. In the doze state, the terminal powers down as much circuitry as possible. The terminal transitions between states based on an “ON” window. The window size and placement are determined based on statistics of packet arrival times. The terminal enters the awake state at the start of the ON window, turns on the receiver, and monitors for an incoming packet. The terminal turns off the receiver after receiving the packet, updates the statistics of the arrival times, and computes the window size and placement for the next incoming packet. The terminal may selectively enable or disable the power save mode based on jitter in the arrival times.