An Objective Waveform Comparison Technique
ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS STRUCTURES LAB
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This report documents the development of objective waveform discrepancy measures for comparing arbitrary transient response histories. The objective waveform discrepancy measures consist of the magnitude correlation factor, the phase-and-frequency correlation factor, the magnitude error, the phase-and-frequency error, and the combined magnitude and phase-and-frequency errors. Their validity and behavior are checked and demonstrated for several simple sinusoidal responses. The objective discrepancy measures are incorporated into a computer program, named Waveforms Comparison Technique, which processed digitized data tapes containing measured or calculated waveforms or both. The computer program is used to statistically analyze selected data from the DISC test I event and objectively compare particle velocity measurements made in DISC Test II with expected value waveforms obtained from probabilistic prediction calculations. Appendix A of this report presents a flow chart and users guide for the computer program WCT. It is recommended that the objective discrepancy measures be used whenever comparisons of two or more waveforms are made. It is also recommended that the technique be extended to objectively quantify differences in laboratory-and field-generated material property test results.