Kalman filter based phase-locked loop for phase-shift keying or quadrature amplitude modulated signals

A wireless communications device comprising:

• a receiver front-end circuit configured to provide a baseband version of a received radio frequency signal;
• and
• a demodulator comprising:
• a phase detector configured to provide an error signal generated based on the baseband version of the received radio frequency signal and an expected transmitted data signal;
• a phase-locked loop configured to generate an error correction signal based on a phase of the error signal and a predicted instantaneous phase of the error signal;
• and
• a correction circuit configured to provide a corrected baseband version of the received radio frequency signal based on the baseband version of the received radio frequency signal and the error correction signal.

A method for recovering data transmitted using a radio frequency signal, the method comprising:

• training a Kalman filter based phase-locked loop using an Access Address field of a Bluetooth Low Energy packet of a received signal in a first mode of operating a receiver;
• tracking a frequency and phase offset of the received signal using the Kalman filter based phase-locked loop in a second mode of operating the receiver;
• and
• correcting the received signal using an estimate of the frequency and phase offset generated by the Kalman filter based phase-locked loop.