Theoretically, the sampling rate of Hadamard transform ion mobility spectrometry (HT-IMS) spectra was optimized by changing the sampling data points. By adding white noise of simulation, the effect of improving signal-to-noise ratio (SNR) of spectra of the proposed approach and its influence on the resolution were analyzed. Preliminary results show that it can retrieve the IMS spectra by sampling at least 8 data points within a single ion gate width of 0.4 ms. The SNR of the spectra using Hadamard transform approach is 15.8 times as large as that of conventional IMS spectra, as well is 4.6 times as large as that of the spectra acquired by averaging multiple conventional spectra with the same sampling time. The transformational process has no obvious influence on the resolution of the IMS spectra. The simulation of HT-IMS not only provides theoretical evidences to choose and optimize sampling rate and so on, but also establishs the software foundation for next experimental control and transformation.