In order to improve the accuracy of recovered spectrum of Hadamard Transform Spectral Imager (HTSI), an algorithm of decomposing disorder encoding spectrum of HTSI using laser is proposed. The theory of Hadamard Transform (HT) is introduced. HTSI, which was developed in the Key Laboratory of Spectral Imaging Technique of Xi'an Institute of Optics and Precision Mechanics of Chinese Academy of Science in the world first, is presented. The reason why there existing the phenomenon that some spectra encoded disorderly is analyzed deeply. Experiments have been done in the laboratory according to the algorithm using laser with a wavelength of 632.8 nm. It is proved that the variance of the recovered spectrum can be decreased to approximately 3% compared with traditional spectrum recovering method. It has made great contribution to spectrum recovering in laboratory and projects.
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