An undersampling phase measurement algorithm based on parameter estimation for homodyne interferometer

An undersampling phase unwrapping algorithm based on Kalman motion estimation for heterodyne interferometer

“…Hence, the estimated phase jerk at the (k+1)-th sampling moment is determined, leading to the determination of the sampling frequency at the (k+1)-th sampling moment, as illustrated in Equation ( 16). (16) Step 4: In accordance with Equation ( 9), the , , , and are employed to compute the estimated phase at the (k+1)-th sampling moment. The orthogonal signals are acquired with serving as the sampling frequency.…”

“…The bandwidth, however, introduces constraints on the sampling frequency, resulting in relatively low measurement accuracy and restricted applicability. For the latter type, the phase at the next moment is estimated by incorporating additional measurement devices 13,14 , Kalman motion estimation 5,15 , and phase estimation based on motion continuity 16,17 . In this foundation, the phase at the next moment is compared with the original measured phase to determine the correction period, which is further combined with the original measured phase to achieve phase unwrapping.…”