There are two types of the interferogram of spatially modulated imaging Fourier transform spectrometer (SMIFTS),namely single sided and double sided. In the case of single sided interferogram there are usually a small portion of sampling points around the zero path difference(ZPD) for phase correction. In this paper,some aspects of data processing of the single sided interferogram are discussed in detail including apodization and phase correction. A novel weighting and apodization method is proposed and better recovered spectra are obtained by computer simulation. It is found that under adequate conditions,the reconstructed spectra from single sided interferogram are good enough for application mean while the raw data rate is smaller than double sided sampling.