Analyzing spectral peak distribution of coupled signals using Fourier transform theory

Wu, Wenbing; Yuan, Xing

doi:10.1007/s12648-023-02728-6

Cited by 1 publication

(1 citation statement)

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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%

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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