Detecting the Sinusoidal Signal in Noise by the SVD Method

A new method for sinusoidal detection is presented based on the SVD of the observation data matrix.Compared with general approach,the method here can be used to deal with the observation data merged in noise background and to analyze short data record.The method in this paper has fairly computational stabilization and can eliminate the noise mixed in the sinusoidal observation data to obtain exact results.The validity and the correctness of the new approach are verified by the computer emulation.