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High-SNR spectrum measurement based on Hadamard encoding and sparse reconstruction

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Abstract

The denoising capabilities of the H-matrix and cyclic S-matrix based on the sparse reconstruction, employed in the Pixel of Focal Plane Coded Visible Spectrometer for spectrum measurement are investigated, where the spectrum is sparse in a known basis. In the measurement process, the digital micromirror device plays an important role, which implements the Hadamard coding. In contrast with Hadamard transform spectrometry, based on the shift invariability, this spectrometer may have the advantage of a high efficiency. Simulations and experiments show that the nonlinear solution with a sparse reconstruction has a better signal-to-noise ratio than the linear solution and the H-matrix outperforms the cyclic S-matrix whether the reconstruction method is nonlinear or linear.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant no. 61601225), the Natural Science Foundation of Jiangsu Province (Grant no. BK20151482) and the Fundamental Research Funds for the Central Universities (30915011335). We acknowledge the advice from and discussions with Professor Wenquan Che, Department of Communication Engineering, Nanjing University of Science and Technology.

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Authors and Affiliations

  1. National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zhaoxin Wang, Jiang Yue, Long Li, Yong Jin, Yuan Gao & Baoming Li

  2. School of Electronic Engineering and Optoelectronic Technology, Nanjing University of Science and Technology, Nanjing, 210094, China

    Jing Han

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  1. Zhaoxin Wang
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  2. Jiang Yue
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  3. Jing Han
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  4. Long Li
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  6. Yuan Gao
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  7. Baoming Li
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Correspondence to Jiang Yue.

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Wang, Z., Yue, J., Han, J. et al. High-SNR spectrum measurement based on Hadamard encoding and sparse reconstruction. Appl. Phys. B 123, 277 (2017). https://doi.org/10.1007/s00340-017-6854-0

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  • DOI: https://doi.org/10.1007/s00340-017-6854-0

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