Title :
On phase-locked loops and Kalman filters
Author :
Patapoutian, Ara
Author_Institution :
Quantum Corp., Shrewsbury, MA, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
Driessen (1994) and Christiansen (1994) independently showed that for a specific dynamic model, the proportional-integral phase-locked loop (PLL) has the same structure as the Kalman filter. In this paper, closed-form expressions of the corresponding Kalman gain values are derived both in acquisition and tracking modes of the PLL
Keywords :
Kalman filters; filtering theory; phase locked loops; pulse amplitude modulation; tracking filters; Kalman filters; Kalman gain values; PAM; PLL; acquisition mode; closed-form expressions; dynamic model; phase-locked loops; proportional-integral phase-locked loop; pulse amplitude modulation; tracking mode; Additive white noise; Closed-form solution; Equations; Frequency estimation; Kalman filters; Phase estimation; Phase locked loops; Phase noise; Recursive estimation; Voltage-controlled oscillators;
Journal_Title :
Communications, IEEE Transactions on
