Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy

In Bandpass Sampling Fourier Transform Spectroscopy, a comprehensive method for evaluating signal-to-noise ratio (SNR) has not yet been established. This paper employs an energy conservation approach to analyze the relationship of SNR between interferogram and spectra in Bandpass Sampling Time-Modul...

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Main Authors: Xinwen Chen, Zheng Tan, Jianwei Wang, Na Zhao, Yinhui Tang, Yangyang Liu, Jia Si, Yu Zhang, Jianying Sun, Weiyan Li, Qunbo Lv
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/14/21/10015
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author Xinwen Chen
Zheng Tan
Jianwei Wang
Na Zhao
Yinhui Tang
Yangyang Liu
Jia Si
Yu Zhang
Jianying Sun
Weiyan Li
Qunbo Lv
author_facet Xinwen Chen
Zheng Tan
Jianwei Wang
Na Zhao
Yinhui Tang
Yangyang Liu
Jia Si
Yu Zhang
Jianying Sun
Weiyan Li
Qunbo Lv
author_sort Xinwen Chen
collection DOAJ
description In Bandpass Sampling Fourier Transform Spectroscopy, a comprehensive method for evaluating signal-to-noise ratio (SNR) has not yet been established. This paper employs an energy conservation approach to analyze the relationship of SNR between interferogram and spectra in Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy (BPS-FTS). It systematically presents models for the average SNR of the system interferogram and the average SNR of reconstructed spectra under different parameters. These models are compared with SNR models in traditional Fourier transform spectroscopy (FTS) and are mutually validated through theoretical modeling and simulation analysis. It provides a theoretical basis and simulation verification for the design and implementation of the system.
format Article
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institution Kabale University
issn 2076-3417
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publishDate 2024-11-01
publisher MDPI AG
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series Applied Sciences
spelling doaj-art-bb34d82562d444ef97656f4d1638a3012024-11-08T14:34:09ZengMDPI AGApplied Sciences2076-34172024-11-0114211001510.3390/app142110015Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform SpectroscopyXinwen Chen0Zheng Tan1Jianwei Wang2Na Zhao3Yinhui Tang4Yangyang Liu5Jia Si6Yu Zhang7Jianying Sun8Weiyan Li9Qunbo Lv10Aerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, ChinaIn Bandpass Sampling Fourier Transform Spectroscopy, a comprehensive method for evaluating signal-to-noise ratio (SNR) has not yet been established. This paper employs an energy conservation approach to analyze the relationship of SNR between interferogram and spectra in Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy (BPS-FTS). It systematically presents models for the average SNR of the system interferogram and the average SNR of reconstructed spectra under different parameters. These models are compared with SNR models in traditional Fourier transform spectroscopy (FTS) and are mutually validated through theoretical modeling and simulation analysis. It provides a theoretical basis and simulation verification for the design and implementation of the system.https://www.mdpi.com/2076-3417/14/21/10015FTSbandpass samplingSNR
spellingShingle Xinwen Chen
Zheng Tan
Jianwei Wang
Na Zhao
Yinhui Tang
Yangyang Liu
Jia Si
Yu Zhang
Jianying Sun
Weiyan Li
Qunbo Lv
Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
Applied Sciences
FTS
bandpass sampling
SNR
title Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
title_full Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
title_fullStr Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
title_full_unstemmed Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
title_short Signal-to-Noise Ratio Analysis of Bandpass Sampling Time-Modulated Fourier Transform Spectroscopy
title_sort signal to noise ratio analysis of bandpass sampling time modulated fourier transform spectroscopy
topic FTS
bandpass sampling
SNR
url https://www.mdpi.com/2076-3417/14/21/10015
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