Geodesic
Pseudo-harmonic Fluctuations of a Random Process Generated by Labrouste Transforms of Class $\Pi (s)_{L}$
Publications of the Department of Astronomy, Tome 17 (1989) no. 1

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The Labrouste transforms (Labrouste and Labrouste, 1940) of class $\Pi (s)_{L}$ generate pseudo-harmonic fluctuations of a random process because the results in transformed series are mutually correlated, even in the cases when original series represent a white noise. In the case of the analyzed $\Pi (s)_{L} = (s_{6}s_{8})_{12}$ transform, appropriate for the filtering of the known 50-day oscillation of the length of the day and the atmospheric angular momentum, the amplitude A of the pseudo-harmonic fluctuation does not exceed 5% of the standard deviation $\sigma$ of original data. 
@article{PDA_1989_17_1_a1,
     author = {D. Djurovi\'c},
     title = {Pseudo-harmonic {Fluctuations} of a {Random} {Process} {Generated} by {Labrouste} {Transforms} of {Class} $\Pi (s)_{L}$},
     journal = {Publications of the Department of Astronomy},
     pages = {15 - 25},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {1989},
     url = {http://geodesic.mathdoc.fr/item/PDA_1989_17_1_a1/}
}
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D. Djurović. Pseudo-harmonic Fluctuations of a Random Process Generated by Labrouste Transforms of Class $\Pi (s)_{L}$. Publications of the Department of Astronomy, Tome 17 (1989) no. 1. http://geodesic.mathdoc.fr/item/PDA_1989_17_1_a1/