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The wireless channel of 5G communications will have unique characteristics that can not be fully apprehended by the traditional fading models. For instance, the wireless channel may often be dominated by a finite number of specular…

Information Theory · Computer Science 2018-10-15 Young Jin Chun

We propose a new class of estimators of the multivariate response linear regression coefficient matrix that exploits the assumption that the response and predictors have a joint multivariate Normal distribution. This allows us to indirectly…

Methodology · Statistics 2015-07-17 Aaron J. Molstad , Adam J. Rothman

We establish a comprehensive probability theory for coherent transport of random waves through arbitrary linear media. The transmissivity distribution for random coherent waves is a fundamental B-spline with knots at the transmission…

Optics · Physics 2025-11-07 Yunrui Wang , Cheng Guo

We show in microwave measurements and computer simulations that the contribution of each eigenchannel of the transmission matrix to the density of states (DOS) is the derivative with angular frequency of a composite phase shift. The…

Optics · Physics 2015-06-19 Matthieu Davy , Zhou Shi , Jing Wang , Azriel Z. Genack

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

We consider imaging in a scattering medium where the illumination goes through this medium but there is also an auxiliary, passive receiver array that is near the object to be imaged. Instead of imaging with the source-receiver array on the…

Analysis of PDEs · Mathematics 2013-10-18 Josselin Garnier , George Papanicolaou

We derive the effective transmission condition for a cluster of acoustic subwavelength resonators, modeled as small-scaled bubbles distributed not necessarily periodically along a smooth, bounded hypersurface, which need not be flat. The…

Analysis of PDEs · Mathematics 2024-12-20 Arpan Mukherjee , Mourad Sini

The transmission of a wave through a randomly chosen `pile of plates' typically decreases exponentially with the number of plates, a phenomenon closely related to Anderson localisation. In apparent contradiction we construct disordered…

Classical Physics · Physics 2017-05-01 Chris King , Simon Horsley , Tom Philbin

We study the propagation of light pulses in an absorbing medium when the frequency of their carrier coincides with a zero of the refractive index dispersion. Although slow light and, a fortiori, fast light are not expected in such…

Optics · Physics 2020-09-21 Bruno Macke , Bernard Ségard

The wave propagation in random medium plays a critical role in optics and quantum physics. Multiple scattering of coherent wave in a random medium determines the transport procedure. Brownian motions of the scatterers perturb each…

Optics · Physics 2022-01-25 Peng Miao , Yifan Zhang , Cheng Wang , Shanbao Tong

In this paper we introduce a new parametric distribution, the Mixed Tempered Stable. It has the same structure of the Normal Variance Mean Mixtures but the normality assumption leaves place to a semi-heavy tailed distribution. We show that,…

Statistical Finance · Quantitative Finance 2014-05-30 Edit Rroji , Lorenzo Mercuri

We report a method to characterize the propagation of an ultrashort pulse of light through a multiple scattering medium by measuring its time-resolved transmission matrix. This method is based on the use of a spatial light modulator…

Optics · Physics 2016-10-26 Mickael Mounaix , Hugo Defienne , Sylvain Gigan

It is shown that the distribution functions of the diffusion coefficient are very similar in the standard model of quantum diffusion in a disordered metal and in a model of classical diffusion in a disordered medium: in both cases the…

Condensed Matter · Physics 2007-05-23 I. V. Lerner

Light propagation in an infinite uniform turbid medium is treated as a Markov stochastic process of photons to provide an intuitive framework for photon migration. The macroscopic physical quantities of photon migration are shown to be…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Xu , W. Cai , M. Lax , R. R. Alfano

Estimation of the optical properties of scattering media such as tissue is important in diagnostics as well as in the development of techniques to image deeper. As light penetrates the sample scattering events occur that alter the…

In many radar scenarios, the radar target or the medium is assumed to possess randomly varying parts. The properties of a target are described by a random process known as the spreading function. Its second order statistics under the WSSUS…

Information Theory · Computer Science 2015-06-19 Götz E. Pfander , Pavel Zheltov

The previous research proves that the random laser emission reflects not only the scattering properties but also the absorption properties. The random laser is therefore considered a potential tool for optical properties sensing. Although…

Optics · Physics 2024-07-15 Dongqin Ni , Florian Klämpfl , Michael Schmidt , Martin Hohmann

While conditional diffusion models have achieved remarkable success in various applications, they require abundant data to train from scratch, which is often infeasible in practice. To address this issue, transfer learning has emerged as an…

Machine Learning · Computer Science 2025-10-28 Ziheng Cheng , Tianyu Xie , Shiyue Zhang , Cheng Zhang

A scattering transform defines a locally translation invariant representation which is stable to time-warping deformations. It extends MFCC representations by computing modulation spectrum coefficients of multiple orders, through cascades…

Sound · Computer Science 2015-06-15 Joakim Andén , Stéphane Mallat

The statistical theory of certain complex wave interference phenomena, like the statistical fluctuations of transmission and reflection of waves, is of considerable interest in many fields of physics. In this article we shall be mainly…

Disordered Systems and Neural Networks · Physics 2016-08-16 P. A. Mello , M. Yépez , L. S. Froufe , J. J. Sáenz