We propose a super-resolution technique for multichannel Fourier transform spectrometers, which is advantageous for feeble-light spectroscopy. The spectral resolution of an area sensor is limited by the number of lateral pixels. Our method fills the signals with vertical pixels, which is practically equivalent to increasing the number of lateral pixels. When applying our proposed technique, the resolution of an Ar-lamp spectrum, which is obtained by using an area sensor with 659 lateral pixels, becomes comparable to that of an area sensor with 1,626 lateral pixels. The spectral resolution is improved at least twice. Thus, using our method, a spectrometer with an area sensor can overcome the Nyquist frequency limitations.
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Watanabe et al. (2018) studied this question.
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