Abstract:In this paper, MSSA is used to simultaneously extract seasonal signals from multiple GPS stations’ elevation time series, mainly including annual and semi-annual items. The experiment verifies that MSSA can identify and extract seasonal signals in time series of GPS stations. At the same time, MSSA can use the reconstruction components(RC) to reconstruct the signals which can extract the useful signals from the original time series and remove interference noise. By comparing the percentages of the top 10 singular spectral variance and the reconstructed signals obtained from MSSA and SSA, it is shown that the MSSA reconstruction curve only contains the time-varying and common seasonal signals of multiple stations, effectively eliminating the influence of single site-specific noise and local phenomenon.