Application of a Pseudo-Fourier Series Method in Tilt Data Processing
A new pseudo-Fourier series (PFS) method to suppress single-frequency noise is proposed in this paper. The basic principle is derived in detail. Numerical experiments show that the PFS method is highly effective in extracting harmonic signal and when the frequency of the extracted composition is very close to that of the noise composition, the filtering effect will be slightly decreased, and the close range is about 1e-4. Four types of ground tides are successfully filtered out for picking-up the long-term trend of the tilt observation and the mutational abnormality.
Y. Wu et al., "Application of a Pseudo-Fourier Series Method in Tilt Data Processing", Advanced Materials Research, Vols. 588-589, pp. 806-809, 2012