Wavelet basis Spectrum recovery for nonuniformly sampled interferogram

Interferogram obtained by Temporally-Spatially Modulated Fourier Transform Spectrometers should be recovered to spectrum by fast Fourier transform method (FFT). However, the interferogram sometimes is nonuniformly sampled, which cannot use FFT directly. In this paper, we propose a wavelet basis fitting method to interpolate the interferogram onto an equal-spaced grid. Hence, we can utilize FFT to recover spectrum. The simulated result of the recovered spectrum indicates that the proposed interferogram wavelet basis fitting method can interpolate the nonuniformly sampled interferogram effectively. The preliminary results show that this method introduces less errors than the Polynomial fitting method does.