Abstract:Least Squares Spectral Analysis (LSSA) has been shown more suitable than Fourier analysis for analyzing time series with spikes, gaps, datum shrifts (offsets) and other disturbances in a variety of applications in geodesy and geophysics. To detect the weak superconducting gravimetric signals, a methodology of product spectrum based on weighted LSSA is presented,which can take consideration the correlations among the signals and highlight the potential spectra power of high resolution in the common figures as well as weaken or eliminate the power of noise. A data set of superconducting gravimeter observations at the Canada Superconducting Gravimeter Installation (CSGI) has been assembled for analysis to show its efficacy.