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The meta distribution of the signal-to-interference ratio (SIR) provides fine-grained information about the performance of individual links in a wireless network. This paper focuses on the analysis of the meta distribution of the SIR for…

Information Theory · Computer Science 2017-12-05 Yuanjie Wang , Martin Haenggi , Zhenhui Tan

We address the problem of downlink beamformer design for signal-to-interference-plus-noise ratio (SINR) balancing in a multiuser multicell environment with imperfectly estimated channels at base stations (BSs). We first present a…

Information Theory · Computer Science 2014-06-26 Muhammad Fainan Hanif , Le-Nam Tran , Antti Tölli , Markku Juntti

Implicit neural representations (INRs) are a powerful paradigm for modeling data, offering a continuous alternative to discrete signal representations. Their ability to compactly encode complex signals has led to strong performance in many…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Pandula Thennakoon , Avishka Ranasinghe , Mario De Silva , Buwaneka Epakanda , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

We study percolation on networks, which is used as a model of the resilience of networked systems such as the Internet to attack or failure and as a simple model of the spread of disease over human contact networks. We reformulate…

Statistical Mechanics · Physics 2014-11-20 Brian Karrer , M. E. J. Newman , Lenka Zdeborová

Implicit Neural Representations (INRs) encode discrete signals in a continuous manner using neural networks, demonstrating significant value across various multimedia applications. However, the vulnerability of INRs presents a critical…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Yuxin Cheng , Zhengwu Liu , Taiqiang Wu , Chen Zhang , Ngai Wong

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

Statistical characterization of the signal-to-interference-plus-noise ratio (SINR) via its cumulative distribution function (CDF) is ubiquitous in a vast majority of technical contributions in the area of cellular networks since it boils…

Information Theory · Computer Science 2017-06-05 Imène Trigui , Sofiène Affes , Ben Liang

Base stations with a large number of transmit antennas have the potential to serve a large number of users simultaneously at higher rates. They also promise a lower power consumption due to coherent combining at the receiver. However, the…

Information Theory · Computer Science 2013-07-17 Narayanan Krishnan , Roy D. Yates , Narayan B. Mandayam

The paper considers a Cox process where the stochastic intensity function for the Poisson data model is itself a non-homogeneous Poisson process. We show that it is possible to obtain the marginal data process, namely a non-homogeneous…

Methodology · Statistics 2023-04-17 Shuying Wang , Stephen G. Walker

Wireless networks are fundamentally limited by the intensity of the received signals and by their inherent interference. It is shown here that in finite ad hoc networks where node placement is modelled according to a Poisson point process…

Networking and Internet Architecture · Computer Science 2015-04-09 Orestis Georgiou , Shanshan Wang , Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon

We consider the point process of signal strengths from transmitters in a wireless network observed from a fixed position under models with general signal path loss and random propagation effects. We show via coupling arguments that under…

Probability · Mathematics 2014-11-20 Holger Paul Keeler , Nathan Ross , Aihua Xia

In this paper, the effects of interference on composite fading environments, where multipath fading coexists with shadowing, are investigated. Based on some mathematical convenient expressions for the sum of squared…

Information Theory · Computer Science 2014-06-17 Petros S. Bithas , Athanasios A. Rontogiannis

Mastery of order-disorder processes in highly non-equilibrium nanostructured oxides has significant implications for the development of emerging energy technologies. However, we are presently limited in our ability to quantify and harness…

A Gaussian noise (GN) model is presented that properly accounts for an arbitrary frequency dependent signal power profile along the link. This enables the evaluation of the impact of inter-channel stimulated Raman scattering (ISRS) on the…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Daniel Semrau , Polina Bayvel

Signal to Noise Ratio (SNR) is an important index for wireless communications. There are many methods for increasing SNR. In CDMA systems, spreading sequences are used. We consider the frequency-selective wide-sense-stationary…

Information Theory · Computer Science 2016-10-17 Hirofumi Tsuda , Ken Umeno

A model of noise reduction (NR) for signal processing is introduced. Each noise source puts a symmetric constraint on the space of the signal vector within a tolerable overlap. When the number of noise sources increases, sequences of…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. van Mourik , K. Y. Michael Wong , D. Bolle'

Implicit Neural Representations (INRs) have gained popularity for encoding signals as compact, differentiable entities. While commonly using techniques like Fourier positional encodings or non-traditional activation functions (e.g.,…

Machine Learning · Computer Science 2024-02-09 Hemanth Saratchandran , Sameera Ramasinghe , Violetta Shevchenko , Alexander Long , Simon Lucey

Cellular networks are usually modeled by placing the base stations on a grid, with mobile users either randomly scattered or placed deterministically. These models have been used extensively but suffer from being both highly idealized and…

Information Theory · Computer Science 2016-11-15 Jeffrey G. Andrews , Francois Baccelli , Radha Krishna Ganti

We study living neural networks by measuring the neurons' response to a global electrical stimulation. Neural connectivity is lowered by reducing the synaptic strength, chemically blocking neurotransmitter receptors. We use a…

Neurons and Cognition · Quantitative Biology 2010-07-30 Ilan Breskin , Jordi Soriano , Elisha Moses , Tsvi Tlusty
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