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Let $\mathbf{s}_k=\frac{1}{\sqrt{N}}(v_{1k},...,v_{Nk})^T,$ with $\{v_{ik},i,k=1,...\}$ independent and identically distributed complex random variables. Write $\mathbf{S}_k=(\mathbf{s}_1,...,\mathbf {s}_{k-1},\mathbf{s}_{k+1},...…

Probability · Mathematics 2008-12-18 G. M. Pan , W. Zhou

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

This paper investigates the performance of downlink cellular networks with non-coherent joint (mutlipoint) transmissions and practical channel estimation. Under a stochastic geometry framework, the spatial average signal-to-noise-ratio…

Information Theory · Computer Science 2019-07-02 Stelios Stefanatos , Gerhard Wunder

In cellular network models, the base stations are usually assumed to form a lattice or a Poisson point process (PPP). In reality, however, they are deployed neither fully regularly nor completely randomly. Accordingly, in this paper, we…

Information Theory · Computer Science 2014-04-29 Anjin Guo , Martin Haenggi

This paper studies spatial capacity in a stochastic wireless ad hoc network, where multi-stage probing and data transmission are sequentially performed. We propose a novel signal-to-interference-ratio (SIR) threshold based scheduling…

Information Theory · Computer Science 2014-09-10 Yue Ling Che , Rui Zhang , Yi Gong , Lingjie Duan

Impact of mobility will be increasingly important in future generation wireless services and the related challenges will need to be addressed. Sojourn time, the time duration that a mobile user stays within a cell, is a mobility-aware…

Information Theory · Computer Science 2020-01-08 Mohammad Salehi , Ekram Hossain

This paper presents a tutorial on stochastic geometry (SG) based analysis for cellular networks. This tutorial is distinguished by its depth with respect to wireless communication details and its focus on cellular networks. The paper starts…

Information Theory · Computer Science 2016-11-15 Hesham ElSawy , Ahmed Sultan-Salem , Mohamed-Slim Alouini , Moe Z. Win

Explicit derivation of interferences in hexagonal wireless networks has been widely considered intractable and requires extensive computations with system level simulations. In this paper, we fundamentally tackle this problem and explicitly…

Networking and Internet Architecture · Computer Science 2016-08-03 Ridha Nasri , Aymen Jaziri

Heterogeneous cellular networks (HCNs) constitute a necessary step in the evolution of cellular networks. In this paper, we apply the signal-to-interference ratio (SIR) meta distribution framework for a refined SIR performance analysis of…

Information Theory · Computer Science 2018-03-02 Yuanjie Wang , Martin Haenggi , Zhenhui Tan

We study the performance of wireless links for a class of Poisson networks, in which packets arrive at the transmitters following Bernoulli processes. By combining stochastic geometry with queueing theory, two fundamental measures are…

Information Theory · Computer Science 2020-07-22 Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

This paper investigates tail asymptotics of stationary distributions and quasi-stationary distributions (QSDs) of continuous-time Markov chains on subsets of the non-negative integers. Based on the so-called flux-balance equation, we…

Probability · Mathematics 2023-08-16 Chuang Xu , Mads Christian Hansen , Carsten Wiuf

The SINR (signal to interference plus noise ratio) is a key factor for wireless networks analysis. Indeed, the SINR distribution allows the derivation of performance and quality of service (QoS) evaluation. Moreover, it also enables the…

Networking and Internet Architecture · Computer Science 2014-11-20 Jean-Marc Kelif , Stephane Senecal , Marceau Coupechoux , Constant Bridon

A technique is presented to characterize the Signal-to-Interference-plus-Noise Ratio (SINR) of a representative link with a multiantenna linear Minimum-Mean-Square-Error receiver in a wireless network with transmitting nodes distributed…

Information Theory · Computer Science 2016-11-17 Junjie Zhu , Siddhartan Govindasamy , Jeff Hwang

Distance-based attenuation is a critical aspect of wireless communications. As opposed to the ubiquitous power-law path loss model, this paper proposes a stretched exponential path loss model that is suitable for short-range communication.…

Information Theory · Computer Science 2017-11-22 Ahmad AlAmmouri , Jeffrey G. Andrews , François Baccelli

Limitation of the cost of coordination and contention among a large number of nodes calls for grant-free approaches, exploiting physical layer techniques to solve collisions. Successive Interference Cancellation (SIC) is becoming a key…

Signal Processing · Electrical Eng. & Systems 2024-06-28 Andrea Baiocchi , Asmad Razzaque

Under different assumptions on the distribution of the fading random variables, we derive large deviation estimates for the tail of the interference in a wireless network model whose nodes are placed, over a bounded region of the plane,…

Information Theory · Computer Science 2014-01-23 Giovanni Luca Torrisi , Emilio Leonardi

The spectral efficiency of a representative uplink of a given length, in interference-limited, spatially-distributed wireless networks with hexagonal cells, simple power control, and multiantenna linear Minimum-Mean-Square-Error receivers…

Information Theory · Computer Science 2015-03-18 Siddhartan Govindasamy , Daniel W. Bliss , David H. Staelin

The bloom in mobile applications not just bring in enjoyment to daily life, but also imposes more complicated traffic situation on wireless network. A complete understanding of the impact from traffic profile is thus essential for network…

Information Theory · Computer Science 2018-01-31 Howard H. Yang , Tony Q. S. Quek

This work studies the signal-to-interference-plus-noise-ratio (SINR) meta distribution for the uplink transmission of a Poisson network with Rayleigh fading by using the dominant interferer-based approximation. The proposed approach relies…

Information Theory · Computer Science 2023-09-12 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

Geographic locations of cellular base stations sometimes can be well fitted with spatial homogeneous Poisson point processes. In this paper we make a complementary observation: In the presence of the log-normal shadowing of sufficiently…

Networking and Internet Architecture · Computer Science 2015-02-11 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler