Conventional methods for improving seismic record resolution,such as spectrum whitening and deconvolution,assume that reflection coefficient sequence is white noise random time sequence,the prerequisite implicates that subsurface medium is white noise random medium.Prospecting experience indicates that not all subsurface medium is white noise random medium,not all reflection coefficient sequence is white noise random time sequence.Therefore,conventional methods can not obtain actual results sometimes.Except white noise model,random medium has many kinds of models;random medium in different type has different properties,which is corresponding to different reflection coefficient sequence and seismic record.Based on random medium theory,we studied the relationship between seismic record and random medium statistical parameters,and proposed the methods for obtaining random medium statistical parameters and spread seismic record frequency band from actual seismic record.Theoretical and actual data test result coincides with actual geological conditions,and the seismic data resolution has been greatly improved.The method is a meaningful research direction in high-resolution seismic data processing.