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Previous studies have confirmed the adverse impact of fading correlation on the mutual information (MI) of two-dimensional (2D) multiple-input multiple-output (MIMO) systems. More recently, the trend is to enhance the system performance by…

信息论 · 计算机科学 2016-04-21 Qurrat-Ul-Ain Nadeem , Abla Kammoun , Merouane Debbah , Mohamed-Slim Alouini

The spherical-harmonics expansion is a mathematically rigorous procedure and a powerful tool for the representation of potential energy surfaces of interacting molecular systems, determining their spectroscopic and dynamical properties,…

The 3GPP new radio (NR) channel model introduced spatial consistency and a correlation model for multiple frequencies. Future extensions of this model will incorporate mobility at both ends of the link. These features are essential for many…

信号处理 · 电气工程与系统科学 2019-07-01 Stephan Jaeckel , Leszek Raschkowski , Frank Burkhardt , Lars Thiele

To describe longitudinal fine structure like microbunching within a particle beam, a classical approach is to define a bunching factor which is the Fourier transform of the particle longitudinal density distribution. Such a 1D definition of…

加速器物理 · 物理学 2025-11-12 Xiujie Deng

This paper considers the distribution of the mutual information of frequency-selective spatially-uncorrelated Rayleigh fading MIMO channels. Results are presented for OFDM-based spatial multiplexing. New exact closed-form expressions are…

信息论 · 计算机科学 2016-11-17 Matthew R. McKay , Peter J. Smith , Himal A. Suraweera , Iain B. Collings

We study the multifractal analysis (MFA) of electronic wavefunctions at the localisation-delocalisation transition in the 3D Anderson model for very large system sizes up to $240^3$. The singularity spectrum $f(\alpha)$ is numerically…

无序系统与神经网络 · 物理学 2008-11-12 Alberto Rodriguez , Louella J. Vasquez , Rudolf A. Roemer

A novel unified frequency diverse array (FDA) and spatial data focusing (SDF) approach is proposed to simultaneously overcome time-variance and precision constraints of conventional FDA in geocasting, i.e., spatially confined broadcasting,…

信号处理 · 电气工程与系统科学 2023-02-27 Guylian Molineaux , Francois Horlin , Philippe De Doncker , Julien Sarrazin

We propose a transform for signals defined on the sphere that reveals their localized directional content in the spatio-spectral domain when used in conjunction with an asymmetric window function. We call this transform the directional…

信息论 · 计算机科学 2013-04-23 Z. Khalid , R. A. Kennedy , S. Durrani , P. Sadeghi , Y. Wiaux , J. D. McEwen

Fourier analysis and representation of circular distributions in terms of their Fourier coefficients, is quite commonly discussed and used for model-free inference such as testing uniformity and symmetry etc. in dealing with 2-dimensional…

统计方法学 · 统计学 2018-02-27 S. Rao Jammalamadaka , Gyorgy Terdik

This paper presents a closed-form analysis of spatial correlation and degrees of freedom (DoF) for arched holographic multiple-input multiple-output (HMIMO) arrays, which can be viewed as a special form of fluid antenna systems (FAS) when…

系统与控制 · 电气工程与系统科学 2025-09-17 Liuxun Xue , Shu Sun , Hangsong Yan

Spectroscopic redshift surveys offer great prospects for constraining the dark sector in cosmology. Future surveys will however be both deep and wide and will thus require an analysis in 3-dimensional spherical geometry. We review and…

宇宙学与河外天体物理 · 物理学 2015-06-19 Andrina Nicola , Alexandre Refregier , Adam Amara , Aseem Paranjape

In the last decade diffusion MRI has become a powerful tool to non-invasively study white-matter integrity in the brain. Recently many research groups have focused their attention on multi-shell spherical acquisitions with the aim of…

定量方法 · 定量生物学 2011-06-02 A. Daducci , J. D. McEwen , D. Van De Ville , J. -Ph. Thiran , Y. Wiaux

We present the generalized iterative residual fitting (IRF) for the computation of the spherical harmonic transform (SHT) of band-limited signals on the sphere. The proposed method is based on the partitioning of the subspace of…

信息论 · 计算机科学 2017-09-11 Usama Elahi , Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

We envision the application of optical Space-division Multiplexing (SDM) to the next generation fiber-wireless communications as a firm candidate to increase the end user capacity and provide adaptive radiofrequency-photonic interfaces.…

信号处理 · 电气工程与系统科学 2018-10-30 Ivana Gasulla , Sergi Garcia , David Barrera , Javier Hervas , Salvador Sales

In this paper, the translational addition theorem for spherical functions is employed to exactly calculate the acoustic radiation force produced by an arbitrary shaped beam on a sphere suspended in an inviscid fluid. The radiation force is…

经典物理 · 物理学 2014-02-18 Glauber T. Silva , André L. Baggio , J. Henrique Lopes , Farid G. Mitri

An algebraic approximation, of order $K$, of a polyhedron correlation function (CF) can be obtained from $\gamma\pp(r)$, its chord-length distribution (CLD), considering first, within the subinterval $[D_{i-1},\, D_i]$ of the full range of…

综合数学 · 数学 2020-12-03 Salvino Ciccariello

We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n ,\, n \geq 1$. Such transforms arise in the framework of the theory of weighted Radon transforms and vector diffraction in electromagnetic fields theory.…

经典分析与常微分方程 · 数学 2017-07-11 F Goncharov

This paper presents a "two-dimensional Fourier Continuation" method (2D-FC) for construction of bi-periodic extensions of smooth non-periodic functions defined over general two-dimensional smooth domains. The approach can be directly…

数值分析 · 数学 2020-10-19 Oscar P. Bruno , Jagabandhu Paul

In this paper, the performance of the selection combining (SC) scheme over Fisher-Snedecor $\mathcal{F}$ fading channels with independent and non-identically distributed (i.n.i.d.) branches is analysed. The probability density function…

信息论 · 计算机科学 2019-05-15 Hussien Al-Hmood , H. S. Al-Raweshidy

We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable…

数值分析 · 数学 2017-09-18 Bo Wang , Li-Lian Wang , Ziqing Xie
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