Applied Sciences (Nov 2024)

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

  • Xinwen Chen,
  • Zheng Tan,
  • Jianwei Wang,
  • Na Zhao,
  • Yinhui Tang,
  • Yangyang Liu,
  • Jia Si,
  • Yu Zhang,
  • Jianying Sun,
  • Weiyan Li,
  • Qunbo Lv

DOI
https://doi.org/10.3390/app142110015
Journal volume & issue
Vol. 14, no. 21
p. 10015

Abstract

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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.

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