A radio frequency receiving apparatus, comprising: first and second RF antennas at different spatial locations or orientations; first and second RF receivers, each connected to a corresponding one of the first and second RF antennas, the first and second RF receivers being configured to receive and demodulate RF signals of at least a first and a second carrier frequency to recover first data packets with a first periodicity on the first carrier frequency from a first patient physiological sensor device, and second data packets with a second periodicity, different from the first periodicity, on the second carrier frequency from a second patient physiological sensor device different from the first patient physiological sensor device; wherein the first patient physiological sensor device is configured to sense vital signs of a patient, to store the measured vital signs redundantly in each of said first data packets and to wirelessly transmit the first data packets as RF signals having the first carrier frequency, wherein the second patient physiological sensor device is configured to sense vital signs of the patient, to store the measured vital signs redundantly in each of said second data packets and to wirelessly transmit the second data packets as RF signals having the second carrier frequency, a controller connected to the first and second RF receivers and configured to control the RF receivers to perform a cycle including: both RF receivers receiving and demodulating the RF signals having the first carrier frequency concurrently to recover redundant first data packets, and both RF receivers receiving and demodulating the RF signals having the second carrier frequency concurrently to recover redundant second data packets, wherein the controller is configured to control the RF receivers such that each carrier frequency is received for a respective predetermined time period (42, 46), wherein during an initial acquisition, a total of the cycled predetermined time periods is different from a maximum time interval between data packet transmissions for each of the devices and wherein each predetermined time period is based on a time interval between data packet transmissions for the corresponding device and data redundancy in the data packets. first and second RF antennas at different spatial locations or orientations; first and second RF receivers, each connected to a corresponding one of the first and second RF antennas, the first and second RF receivers being configured to receive and demodulate RF signals of at least a first and a second carrier frequency to recover first data packets with a first periodicity on the first carrier frequency from a first patient physiological sensor device, and second data packets with a second periodicity, different from the first periodicity, on the second carrier frequency from a second patient physiological sensor device different from the first patient physiological sensor device; wherein the first patient physiological sensor device is configured to sense vital signs of a patient, to store the measured vital signs redundantly in each of said first data packets and to wirelessly transmit the first data packets as RF signals having the first carrier frequency, wherein the second patient physiological sensor device is configured to sense vital signs of the patient, to store the measured vital signs redundantly in each of said second data packets and to wirelessly transmit the second data packets as RF signals having the second carrier frequency, a controller connected to the first and second RF receivers and configured to control the RF receivers to perform a cycle including: both RF receivers receiving and demodulating the RF signals having the first carrier frequency concurrently to recover redundant first data packets, and both RF receivers receiving and demodulating the RF signals having the second carrier frequency concurrently to recover redundant second data packets, both RF receivers receiving and demodulating the RF signals having the first carrier frequency concurrently to recover redundant first data packets, and both RF receivers receiving and demodulating the RF signals having the second carrier frequency concurrently to recover redundant second data packets, wherein the controller is configured to control the RF receivers such that each carrier frequency is received for a respective predetermined time period (42, 46), wherein during an initial acquisition, a total of the cycled predetermined time periods is different from a maximum time interval between data packet transmissions for each of the devices and wherein each predetermined time period is based on a time interval between data packet transmissions for the corresponding device and data redundancy in the data packets.