Improving resolution of miniature spectrometers by exploiting sparse nature of signals

Optics Express
J OliverHeung-No Lee

Abstract

In this paper, we present a signal processing approach to improve the resolution of a spectrometer with a fixed number of low-cost, non-ideal filters. We aim to show that the resolution can be improved beyond the limit set by the number of filters by exploiting the sparse nature of a signal spectrum. We consider an underdetermined system of linear equations as a model for signal spectrum estimation. We design a non-negative L1 norm minimization algorithm for solving the system of equations. We demonstrate that the resolution can be improved multiple times by using the proposed algorithm.

References

Jun 11, 2008·Optics Express·Cheng-Chun Chang, Heung-No Lee
Sep 29, 2011·Applied Optics·Haixiu Chen, Huiqiang Tang

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Citations

Sep 9, 2015·Nature Communications·Pavel SidorenkoOren Cohen
Jul 3, 2015·Nature·Jie Bao, Moungi G Bawendi
Jan 12, 2017·Scientific Reports·Eric HuangZhaowei Liu
Sep 7, 2019·Science·Zongyin YangTawfique Hasan
Mar 6, 2019·Nature Communications·Zhu WangZongfu Yu

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