The study of the noise immunity of chip spectrometer based on sparse recovery

Feiying Sun; Zheng Yang; Peng Wu; Liangping Xia; Xiuhui Sun; Changbin Nie; Jun Cui; Shaoyun Yin; Chunlei Du

doi:10.1117/12.2246783

19 October 2016 The study of the noise immunity of chip spectrometer based on sparse recovery

Feiying Sun, Zheng Yang, Peng Wu, Liangping Xia, Xiuhui Sun, Changbin Nie, Jun Cui, Shaoyun Yin, Chunlei Du

Proceedings Volume 10152, High Power Lasers, High Energy Lasers, and Silicon-based Photonic Integration; 101520W (2016) https://doi.org/10.1117/12.2246783
Event: International Symposium on Optoelectronic Technology and Application 2016, 2016, Beijing, China

Abstract

The noise immunity of spectral detection is analyzed theoretically for the kind of chip spectrometer based on the combine of integrated filter matrix and sparse recovery. With the sparse representation algorithm, the mathematic model of the detection noise and condition number of filter matrix is built for the Gaussian shaped incident spectrum. In the simulations, the filter matrix with different condition number is produced by changing the cavity length with the fabry perot (FP) interference model. An exponential relationship between the spectrum recovery variance and the condition number is obtained, which is consistent with the built theory model. The result reveals that when the condition number of filter matrix is 10³ level, the noise tolerance of chip spectrometer will be as large as 10% when the variance is about 5 ×10^-3 in the sparse recovery.

Citation Download Citation

Feiying Sun, Zheng Yang, Peng Wu, Liangping Xia, Xiuhui Sun, Changbin Nie, Jun Cui, Shaoyun Yin, and Chunlei Du "The study of the noise immunity of chip spectrometer based on sparse recovery", Proc. SPIE 10152, High Power Lasers, High Energy Lasers, and Silicon-based Photonic Integration, 101520W (19 October 2016); https://doi.org/10.1117/12.2246783

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