Implementation of hilbert transform based high-resolution phase unwrapping method for displacement retrieval using laser self mixing interferometry sensor

Amin, Saqib

doi:10.1016/j.optlastec.2022.107887

Cited by 13 publications

(8 citation statements)

References 47 publications

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“…The HT can represent a signal in its analytical form over the orthogonal plane and retrieve the phase information very conveniently without modifying the amplitude. So HT is very suitable for phase unwrapping in SMI measurements [17,19] .…”

Section: Data Processing Methodsmentioning

confidence: 99%

“…Besides measuring temporal signal waveform fringe number [18] and frequency spectral width [7] , novel precise alternatives for particle detection are still required. As a kind of phase observation tool, the phase-unwrapping method (PUM) has been exhaustively studied in SMI sensor systems [19][20][21][22][23][24][25][26][27] , and the spatial resolution even can reach λ=67 [28] . This processing method normally involves two steps: the first step is phase retrieval, and the second step is to estimate the feedback factor and linewidth enhancement factor for phase profile correction and displacement reconstruction.…”

Section: Introductionmentioning

confidence: 99%

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Phase-unwrapping algorithm combined with wavelet transform and Hilbert transform in self-mixing interference for individual microscale particle detection

Zhao

Zhang

et al. 2023

Chin. Opt. Lett.

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The self-mixing interferometry (SMI) technique is an emerging sensing technology in microscale particle classification. However, due to the nature of the SMI effect raised by a microscattering particle, the signal analysis suffers from many problems compared with a macro target, such as lower signal-to-noise ratio (SNR), short transit time, and time-varying modulation strength. Therefore, the particle sizing measurement resolution is much lower than the one in typical displacement measurements. To solve these problems, in this paper, first, a theoretical model of the phase variation of a singleparticle SMI signal burst is demonstrated in detail. The relationship between the phase variation and the particle size is investigated, which predicts that phase observation could be another alternative for particle detection. Second, combined with continuous wavelet transform and Hilbert transform, a novel phase-unwrapping algorithm is proposed. This algorithm can implement not only efficient individual burst extraction from the noisy raw signal, but also precise phase calculation for particle sizing. The measurement shows good accuracy over a range from 100 nm to 6 μm with our algorithm, proving that our algorithm enables a simple and reliable quantitative particle characteristics retrieval and analysis methodology for microscale particle detection in biomedical or laser manufacturing fields.

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Section: Data Processing Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Phase-unwrapping algorithm combined with wavelet transform and Hilbert transform in self-mixing interference for individual microscale particle detection

Zhao

Zhang

et al. 2023

Chin. Opt. Lett.

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“…Currently, the phase information of grating interference signals can be characterized through both time domain and frequency domain representations [16]. Traditional methods for phase unwrapping in the time/frequency domain include Fourier Transform [17], power spectral density estimation [18], Hilbert Transform [19], and arctangent phase shift [20]. These four methods are typically used for the global analysis of signals and are more suitable for small sets of discrete points and steady signals.…”

Section: Introductionmentioning

confidence: 99%

“…The Hilbert Transform (HT) is applied to z(t). HT can be considered as a 90-degree phase shifter, which can also filter out DC drift while realizing phase shift, and is defined as [19]:…”

mentioning

confidence: 99%

Research on Dual-Grating Spacing Calibration Method Based on Multiple Improved Complete Ensemble Empirical Mode Decomposition with Adaptive Noise Combined with Hilbert Transform

Zhu,

Sun,

Guan

et al. 2024

Photonics

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The paper proposes a method for the calibration of spacing in dual-grating based on Multiple Improved Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (ICEEMDAN) combined with Hilbert Transform (HT), referred to as Multiple ICEEMDAN-HT. This method addresses the potential impact of nonlinear factors on phase extraction accuracy, consequently on ranging precision in the homodyne interference of the dual-grating. Building upon the ICEEMDAN algorithm, the signal undergoes iterative decomposition and reconstruction using the sample entropy criterion. The intrinsic mode functions (IMFs) obtained from multiple iterations are then reconstructed to obtain the complete signal. Through a simulation and comparison with other signal decomposition methods, the repeatability and completeness of signal reconstruction by Multiple ICEEMDAN are verified. Finally, an actual dual-grating ranging system is utilized to calibrate the spacing of the planar grating. Experimental results demonstrate that the calibration relative error of the Multiple ICEEMDAN-HT phase unwrapping method can be reduced to as low as 0.07%, effectively enhancing the signal robustness and spacing calibration precision.

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“…The parts' thickness could be measured as the difference between two distances from the laser to the parts' and axes' surfaces. The applications of speed or distance measurements were widely reported due to its low-cost and single-channel system [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Design of monitoring thickness and speed of cylindrical part based on laser self-mixing interference in a single-channel system during external grinding

Sun,

Yang,

Feng

et al. 2023

Second International Conference on Optoelectronic Information and Computer Engineering (OICE 2023)

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We design a simultaneous measurement of the thickness and speed to monitor mechanical cylindrical parts during external grinding based on a laser self-mixing interference in a single-channel system. If the wavelength is modulated via the laser-injecting-current to generate a frequency shifting corresponding to the rising- and falling- edge of the triangular modulated function. The Doppler frequency caused by the cylindrical part is split into rising- and falling- edge frequencies by the frequency shifting due to wavelength variations. The expressions of the measurement are derived via the derivative of the phase’s polynomial based on the emission-intensity expressions. The frequency shifting is related to the modulation function and the thickness of the cylindrical part. The rising- and falling- edge frequencies of the laser self-mixing interference obtained from the spectrum are used for calculating the Doppler frequency and the frequency shifting for estimating the thickness and the rotation speed of a cylindrical part during external grinding and the results show a good standard derivation less than 10−3 .

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Implementation of hilbert transform based high-resolution phase unwrapping method for displacement retrieval using laser self mixing interferometry sensor

Cited by 13 publications

References 47 publications

Phase-unwrapping algorithm combined with wavelet transform and Hilbert transform in self-mixing interference for individual microscale particle detection

Phase-unwrapping algorithm combined with wavelet transform and Hilbert transform in self-mixing interference for individual microscale particle detection

Research on Dual-Grating Spacing Calibration Method Based on Multiple Improved Complete Ensemble Empirical Mode Decomposition with Adaptive Noise Combined with Hilbert Transform

Design of monitoring thickness and speed of cylindrical part based on laser self-mixing interference in a single-channel system during external grinding

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