  The oscillations of climatic parameters of North Atlantic Ocean play
important role in various events in North America and Europe. Several climatic
indices are associated with these oscillations. The long term Atlantic
temperature anomalies are described by the Atlantic Multidecadal Oscillation
(AMO). The Atlantic Multidecadal Oscillation also known as Atlantic
Multidecadal Variability (AMV), is the variability of the sea surface
temperature (SST) of the North Atlantic Ocean at the timescale of several
decades. The AMO is correlated to air temperatures and rainfall over much of
the Northern Hemisphere, in particular in the summer climate in North America
and Europe. The long-term variations of surface temperature are driven mainly
by the cycles of solar activity, represented by the variations of the Total
Solar Irradiance (TSI). The frequency and amplitude dependences between the TSI
and AMO are analyzed by wavelet coherence of millennial time series since 800
AD till now. The results of wavelet coherence are compared with the detected
common solar and climate cycles in narrow frequency bands by the method of
Partial Fourier Approximation. The long-term coherence between TSI and AMO can
help to understand better the recent climate change and can improve the long
term forecast.

Computer Vision and Pattern Recognition;Instrumentation and Methods for Astrophysics;Software Engineering;Signal Processing;High Energy Physics - Experiment