1D and 2D time series Fourier correlations of Drăgan dam horizontal displacements
Pages 53-59
Alin C. Teusdea, Traian Modog
Abstract
Dam monitoring structural displacement is carried out through physical methods (inverted pendulum) and surveying methods (optoelectronic) [1-4]. The 1D and 2D time series Fourier analysis [5] is used to generate the correlations between the horizontal displacements measured by these two different methods. In this paper the 2005-2008 time series have 1189 points from inverted pendulum and only 8 points from surveying measuring epochs.
There are two ways to get the correlation information between two time series that have different numbers of readings. The first way is to select only the corresponding 8 readings out of the 1189 readings provided by the inverted pendulum, which match the surveying method dates. The second way is to interpolate the 8 readings from the surveying method and to obtain N = 1189 readings time series, which match the inverse pendulum time series. In this paper, we chose the second way.
There were selected two ways to interpolate the surveying time series: Gauss kernel smoothing and Fourier interpolation. In order to generate accurate results, a Fourier interpolation and a Gaussian kernel smoothing of the surveying time series data are done. A comparison between 2000-2005 and 2005-2008 time series correlation results for plot (abutment) 19 of the Drăgan Dam, from Cluj County, Romania is also provided.