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UNIVERSITY OF SOUTHERN CALIFORNIA
Department of Civil Engineering
INFORMATION GRANULATION AND DIMENSIONALITY REDUCTION OF
SEISMIC VIBRATION MONITORING DATA USING ORTHONORMAL
DISCRETE WAVELET TRANSFORM FOR POSSIBLE APPLICATION TO
DATA MINING
by
M.I. Todorovska and T.-Y. Hao
Report CE 03-02
December, 2003
Los Angeles, California
www.usc.edu/dept/civil_eng/Earthquake_eng/
Object Description
| Title | Information granulation and dimensionality reduction of seismic vibration monitoring data using orthonormal discrete wavelet transform for possible application to data mining, 2003 |
| Title (alternate) | Civil Engineering Technical Report Series - Strong Motion Group Contributions CE 03-02 |
| Type of alternate title | series |
| Description | This report explores the advantages of expansion in orthonormal wavelet bases -- as a preprocessing tool -- in analysis of large sets of seismic vibration monitoring data, of ground or structural response, for possible application in data mining. The focus is on the insight that can be gained from the wavelet domain representation, convenience in estimation of energy and correlation, estimation of derivatives, efficiency of representation (data compression property), and dimensionality reduction. Local and global aggregates and distributions of energy and related quantities (e.g. power, power spectrum density, Fourier amplitude, cross-energy, crosspower, cross power spectrum density, etc.), computed directly in the wavelet domain, are introduced and interpreted as information granules, representative of a frequency interval, of a partition of the phase plane, or of the entire record. The concepts explored are illustrated on a mini database of strong motion records from the 1994 Northridge in a 7-story reinforced concrete building located in the Los Angeles area. Nodal spectra and time-frequency distribution of energy and power spectrum density (as well as of cross-energy and cross-power spectrum density) are shown for the ground floor and absolute and relative roof responses.; Dimensionality reduction by thresholding and lower resolution approximation is illustrated and compared with sub-sampling. The errors associated with compression are illustrates for a small database of ground response and roof records from six earthquakes recorded in the same building. The results show that the error is very small even for high compression ratios. It is concluded that expansion in orthonormal wavelet series is potentially a very useful preprocessing tool in mining large data sets of ground and structural response vibration data under earthquake excitation. One drawback of the orthonormal wavelet transform is poor resolution at high frequencies, which can be eliminated by using expansion in orthonormal wavelet packets, to which all of the presented concepts are directly applicable, except the multiresolution structure. The theory and concepts presented in this report apply directly to datasets of any time series data. |
| Subject (lcsh) |
Earthquake engineering Structural dynamics Structural engineering Buildings -- Earthquake effects Earthquake hazard analysis |
| Geographic subject (city or populated place) | Northridge |
| Geographic subject (state) | California |
| Geographic subject (country) | USA |
| Coverage date | 1994 |
| Author |
Todorovska, Maria I. Hao, Tzong-Ying |
| Contributor | USC Viterbi School of Engineering |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Date created | 2003-12 |
| Date issued | 2003-12 |
| Type |
texts images |
| Format (aat) | technical reports |
| Format (imt) | application/pdf |
| Language | English |
| Legacy record ID | uscfac-m39 |
| Part of collection | University of Southern California Faculty Research and Publications |
| Series | Civil Engineering Technical Report Series - Strong Motion Group Contributions |
| Rights | Earthquake Engineering – Strong Motion Research Group, Civil Engineering Department, Viterbi School of Engineering, University of Southern California, Los Angeles, CA 90089-2531; Tel. (213) 740-0603, fax (213) 744-1426; http://www.usc.edu/dept/civil_eng/Earthquake_eng/ |
| Repository name | Libraries, University of Southern California |
| Repository address | University of Southern California Digital Library, USC Libraries, 3550 Trousdale Parkway, University Park Campus, Los Angeles, CA 90089-0185 |
| Filename | uscfac-CE03-02 |
| Archival file | uscfac_Volume6/uscfac-CE03-02.pdf |
Description
| Title | Page 1 |
| Full text | UNIVERSITY OF SOUTHERN CALIFORNIA Department of Civil Engineering INFORMATION GRANULATION AND DIMENSIONALITY REDUCTION OF SEISMIC VIBRATION MONITORING DATA USING ORTHONORMAL DISCRETE WAVELET TRANSFORM FOR POSSIBLE APPLICATION TO DATA MINING by M.I. Todorovska and T.-Y. Hao Report CE 03-02 December, 2003 Los Angeles, California www.usc.edu/dept/civil_eng/Earthquake_eng/ |
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