Phase error correction in Fourier transform spectrometer based on phase correlation

Phase error correction (PEC) is an important step during hyperspectral data processing of the Fourier transform spectrometer. We present a new method for phase correction of the Fourier transform data according to the symmetry of interference curve and the calculation of phase correlation method. The phase correlation is fitted to Sinc function, the sub-pixel offset is calculated, and the interference curve is converted into spectral domain through discrete cosine transform (DCT). The interference data simulated by DCT is compared with the data by Mertz method, and the results shows that the proposed method has higher correction accuracy than Mertz and simple calculation.