Hilbert transform analysis of the Elatina varve record of solar activity

Astronomy and Astrophysics – Astronomy

Scientific paper

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Hilbert Transformation, Sedimentary Rocks, Solar Activity, Solar Terrestrial Interactions, Frequency Stability, Modulation, Nonlinearity, Solar Cycles, Sunspots, Time Series Analysis

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Scientific paper

Abstract

A sequence of 1337 annual laminae, or varves, from the late-Precambrian Elatina Formation in South Australia has been subjected to spectral analysis by a simplifying technique of Hilbert transformation previously used successfully on the sunspot number series. In the depth interval between one thin varve and the next, which will be referred to as a varve cycle, there are 12±4 varves of regularly increasing and then diminishing thickness. Also conspicuous is a 'zig-zag' effect, an inequality of the thickness of consecutive varve cycles. The analysis confirms the presence of (1) an additive undulation with period of TU = 350 varve yr associated with the zig-zag effect and (2) non-sinusoidal amplitude modulation with a period of TE = 314 varve yr known as the Elatina Cycle.

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