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By using the spectrum of the underlying symmetric diffusion operator, the convergence in $L^p$-Wasserstein distance $\mathbb W_p (p\ge 1)$ is characterized for the empirical measure $\mu_t$ of non-symmetric subordinated diffusion processes…

Probability · Mathematics 2023-02-28 Feng-Yu Wang

We study numerically the distribution of scattering phases ${\cal P}(\Phi)$ and of Wigner delay times ${\cal P}(\tau_W)$ for the power-law banded random matrix (PBRM) model at criticality with one channel attached to it. We find that ${\cal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. A. Mendez-Bermudez , Tsampikos Kottos

A theory for the characterization of the fourth moment of electromagnetic wave beams is presented in the case when the source is partially coherent. A Gaussian-Schell model is used for the partially coherent random source. The white-noise…

Optics · Physics 2022-01-19 Josselin Garnier , Knut Sølna

We prove a new criterion for the essential self-adjointness of pseudodifferential operators that does not involve ellipticity-type assumptions. For example, we show that self-adjointness holds in case the symbol is $C^{2d+3}$ with…

Mathematical Physics · Physics 2025-05-27 Robert Fulsche , Lauritz van Luijk

In this article, we study two different types of operators, the localization operator and Weyl transform, on the reduced Heisenberg group with multidimensional center $\mathcal{G}$. The group $\mathcal{G}$ is a quotient group of…

Functional Analysis · Mathematics 2022-11-15 Aparajita Dasgupta , Santosh Kumar Nayak

We introduce a new type of Wannier functions (WFs) obtained by minimizing the conventional spread functional with a penalty term proportional to the variance of the spread distribution. This modified Wannierisation scheme is less prone to…

Other Condensed Matter · Physics 2021-11-09 Pietro F. Fontana , Ask H. Larsen , Thomas Olsen , Kristian S. Thygesen

A radiomap, representing the spatial distribution of wireless signal strength within a specific region, is fundamentally determined by the local propagation channel and finds extensive applications in network planning and optimization. The…

Information Theory · Computer Science 2026-05-05 Wenli Li , Bin Wang , Guangxu Zhu , Haiyan Fan , Yi Zhang

This paper looks into the $K$-user interference channel. Interference Alignment is much likely to be applied with double-layered symbol extensions, either for constant channels in the H$\o$st-Madsen-Nosratinia conjecture or slowly changing…

Information Theory · Computer Science 2012-11-20 Haichuan Zhou , Tharm Ratnarajah

Millimeter-wave (mmWave) massive Multiple Input Multiple Output (MIMO) systems encounter both spatial wideband spreading and temporal wideband effects in the communication channels of individual users. Accurate estimation of a user's…

Signal Processing · Electrical Eng. & Systems 2025-04-22 Chandrashekhar Rai , Debarati Sen

We show that radiation from complex and inherently random but correlated wave sources can be modelled efficiently by using an approach based on the Wigner distribution function. Our method exploits the connection between correlation…

Chaotic Dynamics · Physics 2015-09-30 Gabriele Gradoni , Stephen Creagh , Gregor Tanner , Christopher Smartt , David Thomas

Two-wave with diffuse power (TWDP) is one of the most promising distribution for description of a small-scale fading in the emerging mmWave band. However, traditional error performance analysis in these channels faces two fundamental…

Signal Processing · Electrical Eng. & Systems 2021-09-14 Almir Maric , Pamela Njemcevic

We investigate the fundamental limits of reliable communication over multi-view channels, in which the channel output is comprised of a large number of independent noisy views of a transmitted symbol. We consider first the setting of…

Information Theory · Computer Science 2024-05-14 V. Arvind Rameshwar , Nir Weinberger

The wireless channel is undergoing continuous changes, and the block-fading assumption, despite its popularity in theoretical contexts, never holds true in practical scenarios. This discrepancy is particularly critical for user activity…

Information Theory · Computer Science 2024-05-16 Jianan Bai , Erik G. Larsson

Radio-based localization systems conventionally require stationary reference points (e.g. anchors) with precisely surveyed positions, making deployment time-consuming and costly. This paper presents an empirical evaluation of collaborative…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Paul Schwarzbach , Andrea Jung

Metaplectic Wigner distributions were recently investigated as natural generalizations of the classical Wigner distribution, and provide a wide class of time-frequency representations that exploits the structure of the symplectic group.…

Analysis of PDEs · Mathematics 2023-01-24 Gianluca Giacchi

Information on the future state of time varying frequency selective channels can significantly enhance the effectiveness of feedback in adaptive and limited feedback MIMO-OFDM systems. This paper investigates the parametric extrapolation of…

Information Theory · Computer Science 2014-08-05 Ramoni Adeogun , Paul Teal , Pawel Dmochowski

Estimation is a critical component of synchronization in wireless and signal processing systems. There is a rich body of work on estimator derivation, optimization, and statistical characterization from analytic system models which are used…

Machine Learning · Computer Science 2017-07-21 Timothy J. O'Shea , Kiran Karra , T. Charles Clancy

Weighting methods are widely used to adjust for covariates in observational studies, sample surveys, and regression settings. In this paper, we study a class of recently proposed weighting methods which find the weights of minimum…

Methodology · Statistics 2019-10-29 Yixin Wang , José R. Zubizarreta

In this article, we study the convergence of the empirical spectral measure of twisted Toeplitz matrices subject to small random perturbations. We show that the empirical spectral measure converges weakly in probability to the push-forward…

Probability · Mathematics 2026-04-10 Lucas Noël

As wireless networks transition toward 6G, high mobility, clustered scattering, and hardware impairments increasingly challenge classical assumptions on channel sparsity, resolvability, and stationarity. In these regimes, performance…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Hamza Haif , Abdelali Arous , Huseyin Arslan