title: Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials.
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%.
authors.affiliation: State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.
authors.forename: Cong
authors.initials: C
authors.lastname: Feng
authors.forename: Jingqiu
authors.initials: J
authors.lastname: Liang
authors.forename: Zhongzhu
authors.initials: Z
authors.lastname: Liang