Accelerating the phase demodulation process based on a parallel Hilbert transform with overlapping computation for a laser heterodyne Doppler vibrometer

A parallel Hilbert transform arctangent phase demodulation (PHT-ATAN) method based on overlapping computation is proposed for phase demodulation of laser heterodyne Doppler vibrometers. The method suppresses the end point effects by utilizing overlapping computation and data concatenation and accelerates phase demodulation through parallel processing. Simulation and experimental results demonstrate that when the algorithm’s parallelism is ≥4, the computation speed of this method increases by over 100% compared to traditional methods, while maintaining the signal-to-noise ratio and accuracy of the phase demodulation results. Therefore, this method offers potential advantages in accelerating the phase demodulation process and is highly suitable for large bandwidth, embedded, and real-time sensing applications.