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Opt Express. 2012 Jan 30;20(3):2613-25. doi: 10.1364/OE.20.002613.

Improving resolution of miniature spectrometers by exploiting sparse nature of signals.

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  • 1School of Information and Communications, Gwangju Institute of Science and Technology, South Korea.


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.

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