Singular Spectrum Analysis for Extracting Low Amplitude Vibrations in Femtosecond Laser Time-of-Flight Distance Measurements

Abstract

We utilize singular spectrum analysis (SSA) for post-processing distance measurement data obtained by a dual-comb femtosecond laser rangefinder. Signal denoising technique based on SSA allows detection of low amplitude vibrations from time series of distance data with limited signalto-noise ratio (SNR). Various one-dimensional vibrations, including harmonic, amplitude modulated harmonic, and sinc-function vibrations, with micrometer amplitude comparable with measurement uncertainty of laser rangefinder, have been imposed on the target mirror by a piezo positioner. These vibrations have been extracted by SSA and the obtained vibration amplitudes agree with that imposed on the target very well. A commercial interferometer is used to evaluate the accuracy of SSA. Standard deviations of residuals between the SSA extractions and interferometer measurements are smaller than 0.6 µm. This technique is promising for complex moving pattern detection in object tracking and remote sensing.

Enhancing Vibration Analysis with Singular Spectrum Analysis in a System with Passive Damper Attached

“…Plaza and López [22] 2017 Classical SSA Vibration analysis in civil engineering structures for damage detection. Cao et al [21] 2021 Multivariate SSA Vibration analysis in mechanical systems for fault detection. Trendafilova [13] 2021 SSA for time series Vibration analysis in structures, focusing on decomposition of vibrations into harmonic components.…”

“…The SSA method has been prominent in many works related to vibration analysis. This technique, when applied to vibration analysis, has enabled the identification of trend, oscillatory, and noise components [20,21]. Furthermore, its application has been varied in the field of vibration.…”