Abstract We extend the modal decomposition method, previously applied to compress information in real-space bispectrum, anisotropic redshift-space galaxy bispectrum. In method approach, bispectrum is expanded on a basis of smooth functions triangles and their orientations, such that set expansion coefficients can capture assume reference survey compute Fisher forecasts for compressed two other ...

Abstract The Laplace equation in three-dimensional Euclidean space is -separable bi-cyclide coordinates leading to harmonic functions expressed terms of Lamé–Wangerin called internal and external harmonics. An expansion for a fundamental solution Laplace’s products harmonics derived. In limiting cases this reduces known expansions bi-spherical prolate spheroidal coord...

The rapid development of 3D acquisition technology has brought with itself the need to perform standard signal processing operations such as filters on 3D data. It has been shown that the eigenfunctions of the Laplace-Beltrami operator (manifold harmonics) of a surface play the role of the Fourier basis in the Euclidean space; it is thus possible to formulate signal analysis and synthesis in th...

The spherical harmonics Y l m form a basis of the vector space V (of dimensions 2l + 1) of the eigen functions of the Laplacian on the sphere, with eigen value λl = −l (l+ 1). Here we show the existence of an other basis Φj for V, where Φj(X) ≡ (X · Nj), the l power of the scalar product of the current point with a specific null vector Nj . This very simple formulation makes calculations very e...

Massive black hole binaries are key targets for the space based gravitational wave interferometer LISA. Several studies have investigated how LISA observations could be used to constrain the parameters of these systems. Until recently, most of these studies have ignored the higher harmonic corrections to the waveforms. Here we analyze the effects of the higher harmonics in more detail by perfor...

Abstract This paper investigates a space-time modulated digital metamaterial array (DMA) based on reconfigurable plasma ionization. The DMA consists of 8 × unit-cell elements with total dimensions 120 3.2 mm 3 . Each ring container filled argon gas and is backed grounded dielectric substrate. ionized into state through metallic electrodes. logic the unit cell controlled via changing frequency, ...

Renewable energy sources are gaining more importance in the energy scenario. The advances in the technologies associated with the increase of efficiency of solar panels, the photovoltaic (PV) solar energy has gained momentum in this new scenario. The absence of galvanic isolation in transformer less PV systems will give rise to capacitive leakage current between the photovoltaic system and the ...