A Phase Correction Model for Fourier Transform Spectroscopy

In Fourier transform spectroscopy (FTS), the conventional Mertz method is commonly used to correct phase errors of recovered spectra, but it performs poorly in correcting nonlinear phase errors. This paper proposes a phase correlation method–all-pass filter (PCM-APF) model to correct phase errors. I...

Full description

Bibliographic Details
Main Authors: Huishi Cheng, Honghai Shen, Lingtong Meng, Chenzhao Ben, Ping Jia
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/5/1838
_version_ 1797264833957068800
author Huishi Cheng
Honghai Shen
Lingtong Meng
Chenzhao Ben
Ping Jia
author_facet Huishi Cheng
Honghai Shen
Lingtong Meng
Chenzhao Ben
Ping Jia
author_sort Huishi Cheng
collection DOAJ
description In Fourier transform spectroscopy (FTS), the conventional Mertz method is commonly used to correct phase errors of recovered spectra, but it performs poorly in correcting nonlinear phase errors. This paper proposes a phase correlation method–all-pass filter (PCM-APF) model to correct phase errors. In this model, the proposed improved phase correlation method can correct linear phase errors, and all-pass filters are applied to correct the residual nonlinear phase errors. The optimization algorithm for the digital all-pass filters employs an improved algorithm which combines the subtraction-average-based optimizer (SABO) and the golden sine algorithm (Gold-SA). The proposed PCM-APF model demonstrates high correction precision, and the optimization algorithm for the filters converges faster than traditional intelligent optimization algorithms.
first_indexed 2024-04-25T00:35:11Z
format Article
id doaj.art-33ce7e2999fa49d1a69e5daed9a5b9ad
institution Directory Open Access Journal
issn 2076-3417
language English
last_indexed 2024-04-25T00:35:11Z
publishDate 2024-02-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj.art-33ce7e2999fa49d1a69e5daed9a5b9ad2024-03-12T16:39:10ZengMDPI AGApplied Sciences2076-34172024-02-01145183810.3390/app14051838A Phase Correction Model for Fourier Transform SpectroscopyHuishi Cheng0Honghai Shen1Lingtong Meng2Chenzhao Ben3Ping Jia4Changchun Institute of Optics, Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics, Chinese Academy of Sciences, Changchun 130033, ChinaIn Fourier transform spectroscopy (FTS), the conventional Mertz method is commonly used to correct phase errors of recovered spectra, but it performs poorly in correcting nonlinear phase errors. This paper proposes a phase correlation method–all-pass filter (PCM-APF) model to correct phase errors. In this model, the proposed improved phase correlation method can correct linear phase errors, and all-pass filters are applied to correct the residual nonlinear phase errors. The optimization algorithm for the digital all-pass filters employs an improved algorithm which combines the subtraction-average-based optimizer (SABO) and the golden sine algorithm (Gold-SA). The proposed PCM-APF model demonstrates high correction precision, and the optimization algorithm for the filters converges faster than traditional intelligent optimization algorithms.https://www.mdpi.com/2076-3417/14/5/1838Fourier transform spectroscopyphase correctionphase correlation methodall-pass filtersmeta-heuristic algorithm
spellingShingle Huishi Cheng
Honghai Shen
Lingtong Meng
Chenzhao Ben
Ping Jia
A Phase Correction Model for Fourier Transform Spectroscopy
Applied Sciences
Fourier transform spectroscopy
phase correction
phase correlation method
all-pass filters
meta-heuristic algorithm
title A Phase Correction Model for Fourier Transform Spectroscopy
title_full A Phase Correction Model for Fourier Transform Spectroscopy
title_fullStr A Phase Correction Model for Fourier Transform Spectroscopy
title_full_unstemmed A Phase Correction Model for Fourier Transform Spectroscopy
title_short A Phase Correction Model for Fourier Transform Spectroscopy
title_sort phase correction model for fourier transform spectroscopy
topic Fourier transform spectroscopy
phase correction
phase correlation method
all-pass filters
meta-heuristic algorithm
url https://www.mdpi.com/2076-3417/14/5/1838
work_keys_str_mv AT huishicheng aphasecorrectionmodelforfouriertransformspectroscopy
AT honghaishen aphasecorrectionmodelforfouriertransformspectroscopy
AT lingtongmeng aphasecorrectionmodelforfouriertransformspectroscopy
AT chenzhaoben aphasecorrectionmodelforfouriertransformspectroscopy
AT pingjia aphasecorrectionmodelforfouriertransformspectroscopy
AT huishicheng phasecorrectionmodelforfouriertransformspectroscopy
AT honghaishen phasecorrectionmodelforfouriertransformspectroscopy
AT lingtongmeng phasecorrectionmodelforfouriertransformspectroscopy
AT chenzhaoben phasecorrectionmodelforfouriertransformspectroscopy
AT pingjia phasecorrectionmodelforfouriertransformspectroscopy