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Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials

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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%.

© 2011 Optical Society of America

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