An automatic wireless pairing method in an environment having: (i) a pressure generating device base unit of a pressure support system structured to generate a flow of breathing gas for delivery to a patient through a patient interface device, the pressure generating device base unit including a base unit sensor, and (ii) a plurality of wireless peripheral devices (30, 40, 50) each including a sensor and each being either a component of the pressure support system or an additional pressure support system (32, 42) in the environment, wherein the pressure generating device base unit and each of the wireless peripheral devices (30, 40, 50) are structured for wireless pairing using a wireless communications protocol, the method comprising: causing the pressure generating device base unit to at least temporarily wirelessly communicate with one or more of the wireless peripheral devices (30, 40, 50) according to the wireless communications protocol and wirelessly receive a peripheral device data signal from each of the one or more of the wireless peripheral devices (30, 40, 50), wherein the peripheral device data signal received from each of the one or more of the wireless peripheral devices (30, 40, 50) is based on one or more measurements made by the sensor of the wireless peripheral device (30, 40, 50); generating in the pressure generating device base unit a number of base unit data signals, wherein each of the base unit data signals is based on one or more measurements made by the base unit sensor; analyzing in the pressure generating device base unit each of the peripheral device data signals and the number of base unit data signals including performing a correlation analysis in the pressure generating device base unit using each of the peripheral device data signals and the number of base unit data signals; selecting in the pressure generating device base unit at least one of the one or more of the wireless peripheral devices (30, 40, 50) based on an outcome of the correlation analysis; and responsive to the selecting step, establishing or maintaining wireless communication according to the wireless communications protocol between the pressure generating device base unit and the selected at least one of the one or more of the wireless peripheral devices (30, 40, 50) and not the wireless peripheral devices other than the selected at least one of the one or more of the wireless peripheral devices (30, 40, 50). causing the pressure generating device base unit to at least temporarily wirelessly communicate with one or more of the wireless peripheral devices (30, 40, 50) according to the wireless communications protocol and wirelessly receive a peripheral device data signal from each of the one or more of the wireless peripheral devices (30, 40, 50), wherein the peripheral device data signal received from each of the one or more of the wireless peripheral devices (30, 40, 50) is based on one or more measurements made by the sensor of the wireless peripheral device (30, 40, 50); generating in the pressure generating device base unit a number of base unit data signals, wherein each of the base unit data signals is based on one or more measurements made by the base unit sensor; analyzing in the pressure generating device base unit each of the peripheral device data signals and the number of base unit data signals including performing a correlation analysis in the pressure generating device base unit using each of the peripheral device data signals and the number of base unit data signals; selecting in the pressure generating device base unit at least one of the one or more of the wireless peripheral devices (30, 40, 50) based on an outcome of the correlation analysis; and responsive to the selecting step, establishing or maintaining wireless communication according to the wireless communications protocol between the pressure generating device base unit and the selected at least one of the one or more of the wireless peripheral devices (30, 40, 50) and not the wireless peripheral devices other than the selected at least one of the one or more of the wireless peripheral devices (30, 40, 50).