Related Experiment Video
Updated: Sep 26, 2025

Implementation of a Reference Interferometer for Nanodetection
Published on: April 26, 2014
Phase Unwrapping and Frequency Points Subdivision of the Frequency Sweeping Interferometry Based Absolute Ranging
Luming Song1, Guang Shi2, Hong Liu1
1School of Optoelectronic and Communication Engineering, Xiamen University of Technology, Xiamen 361024, China.
Frequency sweeping interferometry (FSI) achieves precise absolute distance ranging. A new Hilbert Transform (HT) and Chirp-z Transform (CZT) method improves accuracy by addressing nonlinear frequency modulation, enhancing ranging resolution.
Area of Science:
- Optics and Photonics
- Metrology and Measurement Science
Background:
- Frequency sweeping interferometry (FSI) offers high-precision absolute distance ranging without blind areas, suitable for large-scale and non-cooperative targets.
- Nonlinear frequency modulation in lasers significantly degrades ranging accuracy in FSI systems.
Purpose of the Study:
- To develop an advanced measurement method for enhancing the accuracy of FSI-based absolute distance ranging.
- To mitigate the impact of nonlinear frequency modulation on ranging precision.
Main Methods:
- A novel measurement approach integrating Hilbert Transform (HT) and Chirp-z Transform (CZT) was developed.
- The method facilitates phase unwrapping of the beat signal and reduces the effective length of the auxiliary optical path's delay fiber.
- Optimization of narrow-band frequency selection for HT application was investigated.
Main Results:
- The proposed HT and CZT assisted method successfully addressed phase unwrapping and improved frequency resolution.
- Experimental validation demonstrated a ranging resolution of 70 μm and a standard deviation of 12.6 μm over a distance of 4005 mm.
Conclusions:
- The developed HT and CZT assisted FSI method significantly enhances ranging accuracy, overcoming limitations of nonlinear frequency modulation.
- This technique provides a robust solution for precise large-scale and non-cooperative target distance measurements.
Related Concept Videos
IR Frequency Region: X–H Stretching
Time and frequency -Domain Interpretation of PI Control
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Aliasing
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original...
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
IR Frequency Region: Fingerprint Region
Time and frequency -Domain Interpretation of Phase-lead Control
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...

