A methodology for acquiring a frequency correction burst using a radio communication device including an RF circuit and digital processing circuitry is disclosed. The radio communication device employs a time period during which an signal acquisition time window is open and during which the RF circuit is activated to receive RF signals intended to be processed by the digital processing circuitry. The acquisition time window is discontinuous and includes N sub-acquisition windows during which the RF circuit is activated, wherein N≧2. The N sub-acquisition windows are separated from one another by N−1 non-acquisition time slots, during which the RF circuit is deactivated. In one embodiment, a portion of the digital processing circuitry is deactivated during those times when the RF circuit is activated.