To refine the track spectrum of high-speed railways for dynamic analysis under various operational conditions,the ballastless track spectrum of the foundation under different tracks of the high-speed line were constructed and analyzed,based on dynamic inspection data from 10 typical high-speed lines designed for speeds of 350 km/h and a spectrum construction algorithm.The data were preprocessed,and various window functions,parameter model orders and spectral estimation algorithms were evaluated.A refined periodogram method using a new rectangular window was selected to calculate the track spectra for different types of railways.The probability distribution of the spectral characteristics was analyzed,and an automatic identification and rejection method for spectral peaks was proposed.Different polynomial fitting models of various orders were employed to represent the random spectral lines.The track spectra for CRTS Ⅰ,Ⅱ,Ⅲ slab and double-block in subgrade,bridge,and tunnel sections of high-speed railway were constructed.The geometric state of ballastless tracks across different bands for each type was compared and analyzed based on the proposed spectral lines.The results show that in subgrade and bridge sections,the random irregularity of the CRTS Ⅲ slab is the best,followed by CRTS Ⅱ slab line and CRTS Ⅰ slab line,and the double-block type line is the worst.In the tunnel section,the random irregularity of the CRTS Ⅱ slab is superior to that of the double-block type.