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Analysis of hidden anharmonic periodicities

โœ Scribed by V.B. Zlokazov

Book ID
103046618
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
340 KB
Volume
59
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

A mathematical method for the detection of hidden anharmomc periodicities is described. The main idea of the method Consists of the following. If s(i) is a periodic anharmonic histogram with period T, I = 0, 1 m, and m + 1 = TL, where T and L are integer, the modulus of the discrete Fourier transform of this histogram is a periodic histogram with period L, and the histogram s(i) can be regarded as a sum of the periodical harmonic histograms with periods Tk which satisfy relations T= T, Tk = Tk -1(k -1)/k. The method has been implemented in a Fortran program named ERTQU which was applied to the analysis of the time distributions of the concentration of radon in the water in the region Kopetdag Peredovoy Razlom (Central Asia), of the atmospheric pressure, and of simulated data.

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