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The continuous wavelet transform is adapted to account for signal truncation through renormalization and by modifying the shape of the analyzing window. Comparison is made of the instant and integrated wavelet power with previous…

Data Analysis, Statistics and Probability · Physics 2010-11-23 Robert W. Johnson

The continuous wavelet transform may be enhanced by deconvolution with the wavelet response function. After correcting for the cone-of-influence, the power spectral density of the solar magnetic record as given by the derectified yearly…

Data Analysis, Statistics and Probability · Physics 2009-11-28 Robert W. Johnson

We applied the method of continuous wavelet-transform to high-quality time-frequency analysis to the sets of observations of relative sunspot numbers. Wavelet analysis of these data reveals the following pattern: at the same time there are…

Solar and Stellar Astrophysics · Physics 2015-12-15 A. A. Borisov , E. A. Bruevich , V. V. Bruevich , I. K. Rozgacheva , E. V. Shimanovskaya

Using wavelet analysis approach, the temporal variations of solar activity on time scales ranging from days to decades, are examined from the daily time series of sunspot numbers. A hierarchy of changing complex periods are careful detected…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Stefano Sello

We applied the method of continuous wavelet-transform to the time-frequency analysis to the sets of observations of relative sunspot numbers, sunspot areas and to 6 Mount Wilson HK-project stars with well-defined magnetic cycles. Wavelet…

Solar and Stellar Astrophysics · Physics 2016-09-20 E. A. Bruevich , V. V. Bruevich , B. P. Artamonov

Wavelet analysis of different solar activity indices, sunspot numbers, sunspot areas, flare index, magnetic fields, etc., allows us to investigate the time evolution of some specific features of the solar activity and the underlying dynamo…

Solar and Stellar Astrophysics · Physics 2013-05-10 Stefano Sello

We use the technique of wavelet analysis to quantitatively investigate the role of solar variability in forcing terrestrial climate change on solar cycle timescales (roughly 11 years). We examine the connection between mean annual solar…

Astrophysics · Physics 2007-05-23 Matthew J. Lewis , Katherine Freese

The effect of solar magnetic activity on the yearly mean average temperature is extracted from the historical record for much of North America. The level of solar activity is derived from the international sunspot number by the renormalized…

Data Analysis, Statistics and Probability · Physics 2010-02-02 Robert W. Johnson

(Abridged) Wavelet analysis can be used to measure the power spectrum of solar wind fluctuations along a line in any direction with respect to the local mean magnetic field. This technique is applied to study solar wind turbulence in…

Earth and Planetary Astrophysics · Physics 2011-02-11 J. J. Podesta

In this paper Fourier Transform and Wavelet Transform are applied in case of recent 300 years of sunspot numbers to explain the solar cycles. Here basically parallel study of Fourier and Wavelet analysis are done and we have observed that…

Computational Engineering, Finance, and Science · Computer Science 2013-12-11 Sabyasachi Mukhopadhyay , Debadatta Dash , Asish Mitra , Prasanta K. Panigrahi

The forward and inverse wavelet transform using the continuous Morlet basis may be symmetrized by using an appropriate normalization factor. The loss of response due to wavelet truncation is addressed through a renormalization of the…

Data Analysis, Statistics and Probability · Physics 2012-02-28 Robert W. Johnson

Using wavelet analysis approach, we can derive a measure of the disorder content of solar activity, following the temporal evolution of the so-called wavelet entropy. The interesting feature of this parameter is its ability to extract a…

Astrophysics · Physics 2015-06-24 Stefano Sello

We show that the continuous wavelet transform can provide a unique decomposition of a timeseries in to 'signal-like' and 'noise-like' components: From the overall wavelet spectrum two mutually independent skeleton spectra can be extracted,…

Data Analysis, Statistics and Probability · Physics 2009-11-10 J. Polygiannakis , P. Preka-Papadema , X. Moussas

The daily sunspot numbers of the whole disk as well as the northern and southern hemispheres from January 1, 1945 to December 31, 2010 are used to investigate the temporal variation of the rotational cycle length through the continuous…

Solar and Stellar Astrophysics · Physics 2015-06-03 J. -L. Xie , X. -J. Shi , J. -C. Xu

Accurate and reliable prediction of Photovoltaic (PV) power output is critical to electricity grid stability and power dispatching capabilities. However, Photovoltaic (PV) power generation is highly volatile and unstable due to different…

Machine Learning · Computer Science 2022-10-04 Sarah Almaghrabi , Mashud Rana , Margaret Hamilton , Mohammad Saiedur Rahaman

Long-term observational data have information on the magnetic cycles of active stars and that of the Sun. The changes in the activity of our central star have basic effects on Earth, like variations in the global climate. Therefore…

Solar and Stellar Astrophysics · Physics 2015-05-13 Z. Kolláth , K. Oláh

Sunspots are a canonical marker of the Sun's internal magnetic field which flips polarity every ~22-years. The principal variation of sunspots, an ~11-year variation in number, modulates the amount of magnetic field that pierces the solar…

Interplanetary coronal mass ejections (ICMEs) can reach the Earth's magnetosphere causing magnetic disturbances. It can be measured by satellite and ground-based magnetometers. Data from the ACE satellite and from the geomagnetic field was…

The application of the continuous wavelet transform to study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies due to the admissibility condition. We propose an alternative…

Classical Analysis and ODEs · Mathematics 2014-10-09 Elena A. Lebedeva , Eugene B. Postnikov

Aims. The wavelet transform has been used as a powerful tool for treating several problems in astrophysics. In this work, we show that the time-frequency analysis of stellar light curves using the wavelet transform is a practical tool for…

Instrumentation and Methods for Astrophysics · Physics 2014-09-05 J. P. Bravo , S. Roque , R. Estrela , I. C. Leão , J. R. De Medeiros
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