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
Original Manuscript: August 8, 2011
Revised Manuscript: October 6, 2011
Manuscript Accepted: October 6, 2011
Published: November 25, 2011
Cong Feng, Jingqiu Liang, and Zhongzhu Liang, "Spectrum constructing with nonuniform samples using least-squares approximation by cosine polynomials," Appl. Opt. 50, 6377-6383 (2011)