A Pseudo-Fourier Series Method and its Application in Tilt Data Processing

The basic principle of a new pseudo-Fourier series method is derived in detail in this paper. Simulation experiments show that the algorithm can effectively remove the noise and preserve signal's original energy effectively compared with the filtering results based on adaptive LMS algorithm. In addition, the experiment shows that the filtering speed of like Fourier methods is about 25 times the speed of adaptive LMS algorithm. The four types of ground tides are successfully filtered for picking-up the long-term trend of the tilt observation.