For expansion of application field of mass-spectrometry analytical methods and for development of new constructions of mass analyzer new effective methods of spectral function modeling of short broadband signals are necessary. In this paper the correlation method of ion signal analysis in mass spectrometer with broadband signal recording is considered, developed algorithms and program principles for faster data analysis with high resolution are presented. The results are compared with Fourier transform results in short ion signal implementations regime, about 1ms.