Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Research on a Spectral Reconstruction Method with Noise Tolerance

  • Ye, Yunlong (School of Physics and Optoelectronic Engineering, Xidian University) ;
  • Zhang, Jianqi (School of Physics and Optoelectronic Engineering, Xidian University) ;
  • Liu, Delian (School of Physics and Optoelectronic Engineering, Xidian University) ;
  • Yang, Yixin (School of Physics and Optoelectronic Engineering, Xidian University)
  • Received : 2021.05.24
  • Accepted : 2021.07.26
  • Published : 2021.10.25
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Abstract

As a new type of spectrometer, that based on filters with different transmittance features attracts a lot of attention for its advantages such as small-size, low cost, and simple optical structure. It uses post-processing algorithms to achieve target spectrum reconstruction; therefore, the performance of the spectrometer is severely affected by noise. The influence of noise on the spectral reconstruction results is studied in this paper, and suggestions for solving the spectral reconstruction problem under noisy conditions are given. We first list different spectral reconstruction methods, and through simulations demonstrate that these methods show unsatisfactory performance under noisy conditions. Then we propose to apply the gradient projection for sparse reconstruction (GRSR) algorithm to the spectral reconstruction method. Simulation results show that the proposed method can significantly reduce the influence of noise on the spectral reconstruction process. Meanwhile, the accuracy of the spectral reconstruction results is dramatically improved. Therefore, the practicality of the filter-based spectrometer will be enhanced.

Keywords

Acknowledgement

This study was supported by the National Natural Science Foundation of China under Grant Nos. 61774120 and 61705178.

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