A low-power radio-frequency (RF) receiver is characterized by a decreased current consumption over prior art RF receivers, such that the RF receiver may be used in control devices, such as battery-powered motorized window treatments and two-wire dimmer switches. The RF receiver uses an RF sub-sampling technique to check for the RF signals and then put the RF receiver to sleep for a sleep time that is longer than a packet length of a transmitted packet to thus conserve battery power and lengthen the lifetime of the batteries. The RF receiver compares detected RF energy to a detect threshold that may be increased to decrease the sensitivity of the RF receiver and increase the lifetime of the batteries. After detecting that an RF signal is being transmitted, the RF receiver is put to sleep for a snooze time period that is longer than the sleep time and just slightly shorter than the time between two consecutive transmitted packets to further conserve battery power.