Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials |
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| Authors: | Feng Cong Liang Jingqiu Liang Zhongzhu |
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| Affiliation: | State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China. |
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| Abstract: | The least-squares approximation of cosine polynomials is used to construct the spectrum from the simulated nonuniform samples of the interferogram given by a step-mirror-based static Fourier transform spectrometer. Numerical and experimental results show the stability of the algorithm and a spectrum-constructing error of 0.03%. |
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