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Phase demodulation using adaptive windowed Fourier transform based on Hilbert-Huang transform.

Chenxing Wang1, Feipeng Da

  • 1School of Automation, Southeast University, Nanjing, Jiangsu, 210096, China.

Optics Express
|October 6, 2012
PubMed
Summary

A novel phase demodulation method combines Hilbert-Huang Transform (HHT) and Adaptive Windowed Fourier Transform (AWFT) for accurate fringe pattern analysis. This approach effectively measures objects with complex surfaces and discontinuities, offering robust and adaptive phase retrieval.

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Area of Science:

  • Optical metrology
  • Signal processing
  • Data analysis

Background:

  • Fringe pattern analysis is crucial for optical metrology.
  • Traditional methods struggle with complex surfaces and discontinuities.
  • Hilbert-Huang Transform (HHT) provides instantaneous frequency information.

Purpose of the Study:

  • To propose a novel phase demodulation method for fringe patterns.
  • To enhance accuracy in measuring objects with discontinuities or complex surfaces.
  • To develop an adaptive and robust phase retrieval technique.

Main Methods:

  • The proposed method integrates Hilbert-Huang Transform (HHT) and Adaptive Windowed Fourier Transform (AWFT).
  • HHT is applied to fringe patterns to obtain instantaneous frequencies.
  • AWFT is used within localized stationary areas identified by HHT to extract the fundamental spectrum, removing background noise.

Main Results:

  • The method accurately extracts the fundamental spectrum by adaptively locating stationary areas.
  • Background noise and zero-spectrum are effectively eliminated.
  • Experimental results demonstrate robustness and effectiveness for complex object surfaces.

Conclusions:

  • The combined HHT-AWFT method offers adaptive and unconstrained phase demodulation.
  • It overcomes limitations of existing techniques for challenging measurements.
  • The method is highly effective for real-world applications involving complex geometries.