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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Bibliographic Details
Published in:Applied sciences 2024-11, Vol.14 (21), p.10015
Main Authors: Chen, Xinwen, Tan, Zheng, Wang, Jianwei, Zhao, Na, Tang, Yinhui, Liu, Yangyang, Si, Jia, Zhang, Yu, Sun, Jianying, Li, Weiyan, Lv, Qunbo
Format: Article
Language:English
Subjects:
Accuracy
bandpass sampling
China
Codes
Comparative analysis
Correspondence
Energy
Energy conservation
Fourier transforms
FTS
Radiation
Sampling error
Sensors
Signal to noise ratio
SNR
Spectrum analysis
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Summary: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.
ISSN:2076-3417
2076-3417
DOI:10.3390/app142110015