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This is a brief introduction to fractals, multifractals and wavelets in an accessible way, in order that the founding ideas of those strange and intriguing newcomers to science as fractals may be communicated to a wider public. Fractals are…

adap-org · Physics 2015-06-30 C. M. Arizmendi

Clouds in observations are fractals: they show self-similarity across scales ranging from one to 1000 km. This includes individual storms and large-scale cloud structures typical of organised convection. It is not known whether global…

Atmospheric and Oceanic Physics · Physics 2022-01-05 Hannah M. Christensen , Oliver G. A. Driver

Motivated by the prediction of cell loads in cellular networks, we formulate the following new, fundamental problem of statistical learning of geometric marks of point processes: An unknown marking function, depending on the geometry of…

Machine Learning · Computer Science 2019-06-19 Antoine Brochard , Bartłomiej Błaszczyszyn , Stéphane Mallat , Sixin Zhang

Radio signals are used broadly as navigation aids, and current and future terrestrial wireless communication systems have properties that make their dual-use for this purpose attractive. Sub-6 GHz carrier frequencies enable widespread…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Russ Whiton , Junshi Chen , Fredrik Tufvesson

If a point particle moves chaotically through a periodic array of scatterers the associated transport coefficients are typically irregular functions under variation of control parameters. For a piecewise linear two-parameter map we analyze…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , T. Klauss

Radio map in general refers to the geographical signal power spectrum density, formed by the superposition of concurrent wireless transmissions, as a function of location, frequency and time. It contains rich and useful information…

Information Theory · Computer Science 2018-12-19 Suzhi Bi , Jiangbin Lyu , Zhi Ding , Rui Zhang

We extend Feynman's analysis of the infinite ladder AC circuit to fractal AC circuits. We show that the characteristic impedances can have positive real part even though all the individual impedances inside the circuit are purely imaginary.…

Mathematical Physics · Physics 2020-09-16 Eric Akkermans , Joe P. Chen , Gerald Dunne , Luke G. Rogers , Alexander Teplyaev

We propose a novel stochastic network model, called Fractal Gaussian Network (FGN), that embodies well-defined and analytically tractable fractal structures. Such fractal structures have been empirically observed in diverse applications.…

Machine Learning · Statistics 2022-01-14 Subhroshekhar Ghosh , Krishnakumar Balasubramanian , Xiaochuan Yang

We demonstrate analytically and numerically the possibility that the fractal property of a scale-free network cannot be characterized by a unique fractal dimension and the network takes a multifractal structure. It is found that the mass…

Physics and Society · Physics 2011-10-04 Shuhei Furuya , Kousuke Yakubo

Location information is often used as a proxy to guarantee the performance of a wireless communication link. However, localization errors can result in a significant mismatch with the guarantees, particularly detrimental to users operating…

The received in-phase and quadrature (I/Q) baseband signals inherently encode physical-layer and channel characteristics of wireless links. Learning robust and transferable representations directly from such raw signals, however, remains…

Information Theory · Computer Science 2026-01-14 Namhyun Kim , Sadjad Alikhani , Ahmed Alkhateeb

Multiple antenna arrays play a key role in wireless networks for communications but also localization and sensing. The use of large antenna arrays pushes towards a propagation regime in which the wavefront is no longer plane but spherical.…

Signal Processing · Electrical Eng. & Systems 2021-12-06 Andrea De Jesus Torres , Antonio Alberto D'Amico , Luca Sanguinetti , Moe Z. Win

Millimeter wave (mmW) frequencies between 30 and 300 GHz are a new frontier for cellular communication that offers the promise of orders of magnitude greater bandwidths combined with further gains via beamforming and spatial multiplexing…

Networking and Internet Architecture · Computer Science 2014-04-29 Sundeep Rangan , Theodore S. Rappaport , Elza Erkip

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

The wireless physical-layer identification (WPLI) techniques utilize the unique features of the physical waveforms of wireless signals to identify and classify authorized devices. As the inherent physical layer features are difficult to…

Cryptography and Security · Computer Science 2016-03-16 Wenhao Wang , Zhi Sun , Kui Ren , Bocheng Zhu , Sixu Piao

Wireless multi-hop ad hoc communication networks represent an infrastructure-less and self-organized generalization of todays wireless cellular networks. Connectivity within such a network is an important issue. Continuum percolation and…

Statistical Mechanics · Physics 2007-05-23 Ingmar Glauche , Wolfram Krause , Rudolf Sollacher , Martin Greiner

Future dense small-cell networks are one key 5G candidates to offer outdoor high access data rates, especially in millimeter wave (mmWave) frequency bands. At those frequencies, the free space propagation loss and shadowing (from buildings,…

Networking and Internet Architecture · Computer Science 2016-11-23 Yoann Corre , Romain Charbonnier , Mohammed Zahid Aslam , Yves Lostanlen

We introduce a comprehensive statistical characterization of the multipath wireless channel built as a superposition of a number of scattered waves with random phases. We consider an arbitrary number $N$ of specular (dominant) components…

Information Theory · Computer Science 2024-10-30 Juan M. Romero-Jerez , F. Javier Lopez-Martinez , Juan P. Peña-Martin , Ali Abdi

The directed network of telephone subscribers is considered in the article. It can be described as a dynamic network with vertices that correspond to the subscribers of the telephone network and emerging directional edges that correspond to…

Physics and Society · Physics 2020-04-08 V. M. Danilevskiy , V. V. Yanovsky

Satellite networks are promising to provide ubiquitous and high-capacity global wireless connectivity. Traditionally, satellite networks are modeled by placing satellites on a grid of multiple circular orbit geometries. Such a network…

Information Theory · Computer Science 2022-08-10 Jeonghun Park , Jinseok Choi , Namyoon Lee