Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM
In Fourier Transform Spectrometers, phase errors in spectral measurement induce distortion in reconstructed spectra. Existing phase correction algorithms demonstrate insufficient precision in addressing both linear phase and instrumental phase components, resulting in limited applications for the re...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-02-01
|
| Series: | Photonics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2304-6732/12/3/219 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849342879517900800 |
|---|---|
| author | Xiong Wang Chunhui Yan Zimin Huo Pengzhang Dai Dong Yao |
| author_facet | Xiong Wang Chunhui Yan Zimin Huo Pengzhang Dai Dong Yao |
| author_sort | Xiong Wang |
| collection | DOAJ |
| description | In Fourier Transform Spectrometers, phase errors in spectral measurement induce distortion in reconstructed spectra. Existing phase correction algorithms demonstrate insufficient precision in addressing both linear phase and instrumental phase components, resulting in limited applications for the restored spectra in the field of precision measurement. This paper proposes an algorithm called the Cross-Teager–Kaiser <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>ψ</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow></semantics></math></inline-formula> Energy Operator–Nonlinear Calibration Model (CTKB-NCM) for phase error correction. The algorithm first uses the cross-Teager–Kaiser <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>ψ</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow></semantics></math></inline-formula> energy operator (CTKB) method to correct linear phase errors, then applies the Nonlinear Calibration Model (NCM) to solve for the instrument phase correction parameters at each wavenumber, and finally uses the instrument phase correction parameters to correct the residual phase after the linear phase error has been corrected. The Rao algorithm is used to determine the optimal instrument phase correction parameters. Simulation experiments demonstrate that the CTKB-NCM method achieves an order-of-magnitude improvement in normalized reconstructed spectral accuracy for SO<sub>2</sub> gas compared to the conventional Mertz method. |
| format | Article |
| id | doaj-art-e2d2bea72908408b9c5071322b078fac |
| institution | Kabale University |
| issn | 2304-6732 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj-art-e2d2bea72908408b9c5071322b078fac2025-08-20T03:43:14ZengMDPI AGPhotonics2304-67322025-02-0112321910.3390/photonics12030219Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCMXiong Wang0Chunhui Yan1Zimin Huo2Pengzhang Dai3Dong Yao4Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaSchool of Navigation and Internet of Things, Aerospace Information Technology University, Jinan 250299, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaIn Fourier Transform Spectrometers, phase errors in spectral measurement induce distortion in reconstructed spectra. Existing phase correction algorithms demonstrate insufficient precision in addressing both linear phase and instrumental phase components, resulting in limited applications for the restored spectra in the field of precision measurement. This paper proposes an algorithm called the Cross-Teager–Kaiser <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>ψ</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow></semantics></math></inline-formula> Energy Operator–Nonlinear Calibration Model (CTKB-NCM) for phase error correction. The algorithm first uses the cross-Teager–Kaiser <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>ψ</mi></mrow><mrow><mi>B</mi></mrow></msub></mrow></semantics></math></inline-formula> energy operator (CTKB) method to correct linear phase errors, then applies the Nonlinear Calibration Model (NCM) to solve for the instrument phase correction parameters at each wavenumber, and finally uses the instrument phase correction parameters to correct the residual phase after the linear phase error has been corrected. The Rao algorithm is used to determine the optimal instrument phase correction parameters. Simulation experiments demonstrate that the CTKB-NCM method achieves an order-of-magnitude improvement in normalized reconstructed spectral accuracy for SO<sub>2</sub> gas compared to the conventional Mertz method.https://www.mdpi.com/2304-6732/12/3/219Fourier Transform Spectroscopyphase correction algorithmsinstrument phasecross Teager–Kaiser energy operatorRao algorithm |
| spellingShingle | Xiong Wang Chunhui Yan Zimin Huo Pengzhang Dai Dong Yao Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM Photonics Fourier Transform Spectroscopy phase correction algorithms instrument phase cross Teager–Kaiser energy operator Rao algorithm |
| title | Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM |
| title_full | Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM |
| title_fullStr | Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM |
| title_full_unstemmed | Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM |
| title_short | Research on Fourier Transform Spectral Phase Correction Algorithm Based on CTKB-NCM |
| title_sort | research on fourier transform spectral phase correction algorithm based on ctkb ncm |
| topic | Fourier Transform Spectroscopy phase correction algorithms instrument phase cross Teager–Kaiser energy operator Rao algorithm |
| url | https://www.mdpi.com/2304-6732/12/3/219 |
| work_keys_str_mv | AT xiongwang researchonfouriertransformspectralphasecorrectionalgorithmbasedonctkbncm AT chunhuiyan researchonfouriertransformspectralphasecorrectionalgorithmbasedonctkbncm AT ziminhuo researchonfouriertransformspectralphasecorrectionalgorithmbasedonctkbncm AT pengzhangdai researchonfouriertransformspectralphasecorrectionalgorithmbasedonctkbncm AT dongyao researchonfouriertransformspectralphasecorrectionalgorithmbasedonctkbncm |