NEHRP Clearinghouse
- Title
- Baseline Correction of Earthquake Records in the Frequency Domain.
- File
- PB80102056.pdf
- Author(s)
- Kausel, E.; Ushijima, R.
- Source
- National Science Foundation, Washington, DC. Engineering and Applied Science., July 1979, 85 p.
- Identifying Number(s)
- MIT-CE-R79-34
- Abstract
- The report examines various integration schemes for discrete functions in the frequency domain, and develops procedures to perform a parabolic baseline correction to earthquake records in this domain. Only for acceleration records having zero mean value over the interval of definition does the simplest integration scheme analyzed (the pseudo-continuous method) coincide with the well known integration procedure of dividing the Fourier Transform of the record by i omega. Records with non-zero mean, on the other hand, require additional terms to achieve consistency with time domain procedures such as the trapezoidal rule. The formulae developed are then applied in the last section of the report to the Golden Gate Earthquake of March 22, 1957, and compared against each other.
- Keywords
- Fourier transformation; Continuity (Mathematics); Fast Fourier transformations; Applications of mathematics; Frequencies; Data analysis; Earthquakes; Discrete functions