2019
DOI: 10.1016/j.optcom.2018.12.032
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Vibration measurement based on multiple Hilbert transform for self-mixing interferometry

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Cited by 50 publications
(20 citation statements)
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“…Such a method could represent a signal in its analytical form by performing a 90 • phase shift of the original signal over the orthogonal plane without modifying the amplitude, and the phase information is independent of the signal amplitude variations [24]. So far, HT has presented a good performance on SMI signals, as proven in many reports [25][26][27]. Herein, we employed the HT to unwrap the simultaneous external phase φ(t) and extract the fringe number correctly.…”
Section: Methodsmentioning
confidence: 99%
“…Such a method could represent a signal in its analytical form by performing a 90 • phase shift of the original signal over the orthogonal plane without modifying the amplitude, and the phase information is independent of the signal amplitude variations [24]. So far, HT has presented a good performance on SMI signals, as proven in many reports [25][26][27]. Herein, we employed the HT to unwrap the simultaneous external phase φ(t) and extract the fringe number correctly.…”
Section: Methodsmentioning
confidence: 99%
“…In Figure 5 there were some ambiguities in the burst edge, the w value was difficult to measure directly. In order to extract w more precisely, we used the Hilbert transform (HT) thus retrieving the instantaneous phase information [31,38,39]. Figure 6b illustrated two 2π phase periods, clearly implying the beginning and ending time points of the individual particle-induced burst, of 0.76 ms duration (w) were measured from the phase oscillation.…”
Section: Size Classification Calibrationmentioning
confidence: 99%
“…As shown in the typical SMI power equation in Eq. 7, P 0 and P are the direct and alternating components of the SMI signal, respectively, and φ F is the phase term under laser feedback [19], [20].…”
Section: B Simulation In Time Domainmentioning
confidence: 99%