The Application of the Scale Autocorrelation Coefficient to the Determination of the Harmonic Content of Periodic Phenomena - A Meteorological and a Geophysical Example.
Environmental research papers,
AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS
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In a previous work a scale autocorrelation coefficient was introduced that compares a function of time with itself when the scale of time is stretched. It was shown that the scale autocorrelation could be used to determine ratios of frequencies which occur in phenomena with periodicities. In the present paper the authors review the properties of the scale autocorrelation coefficient and apply it to the finding of some of the ratios of the frequencies in atmospheric pressures measured daily for 8766 days. The authors also apply it to the measurements of the International Magnetic Character Figure, Ci, which was measured daily for 27,258 days. The authors regard these applications as the first test of the utility of the scale autocorrelation coefficient. The results indicate that the scale autocorrelation coefficient may indeed prove to be a valuable supplement to the use of the usual autocorrelation coefficient and the Fourier transformation of time-dependent functions. Author
- Statistics and Probability