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We show that continuous transform with the complex Morlet wavelet is easily performed if we replace the integration of the fast-oscillation function by the solution of the diffusion differential equations. The most important advantage of…

天体物理学 · 物理学 2007-05-23 E. B. Postnikov , A. Loskutov

Reliable forecasts of the power output from variable renewable energy generators like solar photovoltaic systems are important to balancing load on real-time electricity markets and ensuring electricity supply reliability. However, solar PV…

计算工程、金融与科学 · 计算机科学 2025-05-07 Andea Scott , Sindhu Sreedhara , Folasade Ayoola

We analyse the temporal evolution of the inclination component of the magnetic field vector for the penumbral area of 25 isolated sunspots. Compared to previous works, the use of data from the HMI instrument aboard the SDO observatory…

太阳与恒星天体物理 · 物理学 2020-03-11 A. B. Griñón-Marín , A. Pastor Yabar , H. Socas-Navarro , R. Centeno

Recently, it has been proven [R. Soc. Open Sci. 1 (2014) 140124] that the continuous wavelet transform with non-admissible kernels (approximate wavelets) allows for an existence of the exact inverse transform. Here we consider the…

泛函分析 · 数学 2015-07-20 Eugene B. Postnikov , Elena A. Lebedeva , Anastasia I. Lavrova

Rotation is a prominent feature of the Sun, and it plays a crucial role in the generation and dynamic evolution of solar magnetic fields. The daily composite time series of Ca II K plage areas from 1907 February 1 to 2023 December 31 is…

太阳与恒星天体物理 · 物理学 2025-12-18 N. B. Xiang , X. H. Zhao , L. H. Deng , F. Y. Li , M. Wan , S. Y. Qi

The analysis of gravitational-wave (GW) signals is one of the most challenging application areas of signal processing. Wavelet transforms are specially helpful in detecting and analyzing GW transients and several analysis pipelines are…

广义相对论与量子宇宙学 · 物理学 2024-05-27 Andrea Virtuoso , Edoardo Milotti

Magneto-atmospheres with Alfv\'en speed [a] that increases monotonically with height are often used to model the solar atmosphere, at least out to several solar radii. A common example involves uniform vertical or inclined magnetic field in…

太阳与恒星天体物理 · 物理学 2015-06-05 P. S. Cally

The variation in the radiative output of the Sun, described in terms of solar irradiance, is important to climatology. A common assumption is that solar irradiance variability is driven by its surface magnetism. Verifying this assumption…

太阳与恒星天体物理 · 物理学 2017-09-05 K. L. Yeo , S. K. Solanki , C. M. Norris , B. Beeck , Y. C. Unruh , N. A. Krivova

Switchbacks (rotations of the magnetic field) are observed on the Parker Solar Probe. Their evolution, content, and plasma effects are studied in this paper. The solar wind does not receive a net acceleration from switchbacks that it…

Systematic studies of the rotation rate of sunspot groups using white-light images yield controversial results on the variations of the rotation rate: sunspot groups were found to either accelerate or decelerate systematically. This…

太阳与恒星天体物理 · 物理学 2023-01-18 Alexander S. Kutsenko , Valentina I. Abramenko , Daria V. Litvishko

In constructive quantum field theory (CQFT) it is customary to first regularise the theory at finite UV and IR cut-off. Then one first removes the UV cutoff using renormalisation techniques applied to families of CQFT's labelled by finite…

高能物理 - 理论 · 物理学 2022-07-19 T. Thiemann

Tilt angles of close to 30,600 sunspots are determined using Mount Wilson daily averaged magnetograms taken from 1974 to 2012, and MDI/SoHO magnetograms taken from 1996 to 2010. Within a cycle, more than 90% of sunspots have a normal…

太阳与恒星天体物理 · 物理学 2015-06-11 Jing Li , Roger K. Ulrich

An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and frequency modulation. The analytic signal is first locally…

统计理论 · 数学 2011-10-18 Jonathan M. Lilly , Sofia C. Olhede

Two sequences of solar images obtained by the Transition Region and Coronal Explorer in three UV passbands are studied using wavelet and Fourier analysis and compared to the photospheric magnetic flux measured by the Michelson Doppler…

天体物理学 · 物理学 2011-02-11 D. Shaun Bloomfield , R. T. James McAteer , Mihalis Mathioudakis , Francis P. Keenan

Magnetic energy transfer from small to large scales due to successive magnetic island coalescence is investigated. A solvable analytical model is introduced and shown to correctly capture the evolution of the main quantities of interest, as…

高能天体物理现象 · 物理学 2019-08-14 Muni Zhou , Pallavi Bhat , Nuno F. Loureiro , Dmitri A. Uzdensky

The influence of higher-order wavelet properties on the analytic wavelet transform behavior is investigated, and wavelet functions offering advantageous performance are identified. This is accomplished through detailed investigation of the…

统计方法学 · 统计学 2011-10-18 J. M. Lilly , S. C. Olhede

We summarize the fifty-year concerted effort to place the "activity" of the Sun in the context of the stars. As a working definition of solar activity in the context of stars, we adopt those globally-observable variations on time scales…

太阳与恒星天体物理 · 物理学 2015-06-03 Philip G. Judge , Michael J. Thompson

We report the first attempt to mode decomposition of the velocity field using wavelet transforms in the application to the magnetized turbulence analysis. We compare results of the separation with respect to the global and local mean…

天体物理学 · 物理学 2007-05-23 Grzegorz Kowal , Alex Lazarian

The electromagnetic effect is studied on the short wavelength branch of the ion temperature gradient mode in the linear regime for the first time using a global gyrokinetic model. The short wavelength ion temperature gradient mode growth…

等离子体物理 · 物理学 2020-05-27 M. Jagannath , J. Chowdhury , R. Ganesh , L. Villard

The appropriate weather prediction is a challenging task and it can be feasible with proper wind speed fluctuation analysis. In this current paper daubechies-4 wavelet is used to analyze the winter wind speed fluctuations due to lesser…

计算工程、金融与科学 · 计算机科学 2016-12-06 Sabyasachi Mukhopadhyay , Prasanta K Panigrahi