A stacking method and its applications to Lanzarote tide gauge records
Zhu, P.; van Ruymbeke, M.; Cadicheanu, N. (2009). A stacking method and its applications to Lanzarote tide gauge records. J. Geodyn. 48(35): 138143. dx.doi.org/10.1016/j.jog.2009.09.038
In: Journal of Geodynamics. Elsevier Science: Amsterdam. ISSN 02643707; eISSN 18791670, meer
 
Author keywords 
Stacking period; Singularity; Tides 
Auteurs   Top 
 Zhu, P.
 van Ruymbeke, M.
 Cadicheanu, N.



Abstract 
A timeperiod analysis tool based on stacking is introduced in this paper. The original idea comes from the classical tidal analysis method. It is assumed that the period of each major tidal component is precisely determined based on the astronomical constants and it is unchangeable with time at a given point in the Earth. We sum the tidal records at a fixed tidal component center period T then take the mean of it. The stacking could significantly increase the signaltonoise ratio (SNR) if a certain number of stacking circles is reached. The stacking results were fitted using a sinusoidal function, the amplitude and phase of the fitting curve is computed by the least squares methods. The advantage of the method is that: (1) an individual periodical signal could be isolated by stacking: (2) one can construct a linear StackingSpectrum (SSP) by changing the stacking period T(s); (3) the timeperiod distribution of the singularity component could be approximated by a SlidingStacking approach. The shortcoming of the method is that in order to isolate a low energy frequency or separate the nearby frequencies, we need a long enough series with high sampling rate. The method was tested with a numeric series and then it was applied to 1788 days Lanzarote tide gauge records as an example. 
