Precise determination of the amplitude of signal with known frequency based on correlated noise model

Based on Gauss correlated noise model, a method is suggested to determine the uncertainty of the amplitude for a sinusoidal signal with known frequency in each period, where the correlation analysis and the weighting statistical analysis are incorporated to improve the precision of determining the amplitude of the signal. The uncertainty of determining the amplitude with this method has been improved fourfolds than before in dealing with the experimental data in determining limits on the photon mass.