Separability, Asymptotics, and Applications of the SIR Meta Distribution in Cellular Networks

Feng, Ke; Haenggi, Martin

doi:10.1109/twc.2020.2987563

Cited by 22 publications

(12 citation statements)

References 31 publications

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“…The difference and relation between the proposed approximation, dominant-interferer approximation (22) The SINR meta distribution is computed by the joint CDF and the PDF of the first and the second nearest BSs, which are the fundamental distance distributions of point processes. Hence, the proposed approximation has different requirements compared with the beta approximation.…”

Section: B Proposed Approximationmentioning

confidence: 99%

“…The SINR success probability and the b-th moment are, respectively, given by (31) where g(r) = θr α pt . Therefore, the beta approximation of the SINR meta distribution of a MCP network is obtained by substituting ( 31) into (11), and the proposed approximation of the SINR meta distribution is obtained by substituting (30) into (22).…”

Section: B Matérn Cluster Processmentioning

confidence: 99%

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A Dominant Interferer Plus Mean Field-Based Approximation for SINR Meta Distribution in Wireless Networks

Qin

Kishk

Alouini

2023

IEEE Trans. Commun.

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This paper proposes a novel approach for computing the meta distribution of the signal-to-interferenceplus-noise ratio (SINR) for the downlink transmission in a wireless network with Rayleigh fading.The novel approach relies on an approximation mix of exact and mean-field analysis of interference (dominant interferer-based approximation) to reduce the complexity of analysis and enhance tractability.In particular, the proposed approximation omits the need to compute the first or the second moment of the SINR that is used in the beta approximation typically adopted in the literature but requires of computing the joint distance distributions. We first derive the proposed approximation based on a Poisson point process (PPP) network with a standard path-loss and Rayleigh fading and then illustrate its accuracy and operability in another four widely used point processes: Poisson bipolar network, Matérn cluster process (MCP), K-tier PPP and Poisson line Cox process (PLCP). Specifically, we obtain the SINR meta distribution for PLCP networks for the first time. Even though the proposed approximation looks simple but it shows good matching in comparison to the popular beta approximation as well as the Monte-Carlo simulations, which opens the door to adopting this approximation in more advanced network architectures.

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Section: B Proposed Approximationmentioning

confidence: 99%

Section: B Matérn Cluster Processmentioning

confidence: 99%

A Dominant Interferer Plus Mean Field-Based Approximation for SINR Meta Distribution in Wireless Networks

Qin

Kishk

Alouini

2023

IEEE Trans. Commun.

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“…Authors in [35] show that the separable form is a good approximation of SIR meta distribution in Ginibre and triangular lattice networks when the SINR threshold is very large. Authors in [36] studied the SIR/SNR meta distribution in a cellular network with coexisting sub-6GHz and millimeter wave spectrums.…”

Section: A Related Workmentioning

confidence: 99%

On the Downlink SINR Meta Distribution of UAV-assisted Wireless Networks

Qin¹,

Kishk²,

Alouini³

2023

Preprint

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The meta distribution of the signal-to-interference-plus-noise ratio (SINR) provides fine-grained information about each link's performance in a wireless system and the reliability of the whole network.While the UAV-enabled network has been studied extensively, most of the works focus on the spatial average performance, such as coverage probability, while SINR meta distribution has received less attention. In this paper, we use the SINR meta distribution for the first time to systematically analyze the improvement and the influence of deploying UAVs on the reliability of a wireless network. We first derive the b-th moments of the conditional success probability of the UAV-enabled network and give the approximated expressions derived by Gil-Pelaez theorem and the beta approximation of the meta distribution. Our numerical results show that deploying UAVs in wireless networks in most cases can greatly improve the system reliability, which denotes the fraction of users achieving cellular coverage, especially for the spatially-clustered users. In addition, establishing LoS links is not always beneficial since it also increases the interference. For instance, with the increase of the SINR threshold, the system reliability of a high LoS probability environment decreases dramatically and it is even lower than a low LoS probability environment. We also show that in highrise urban areas, UAVs can help in establishing extremely reliable (very high SINR) links.

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“…The regime of interest here is when the fraction is 1. For some point processes, e.g., Poisson networks, the fraction is strictly less than 1, and its asymptotics is known for some for , > 0 [5], [16].…”

Section: A System Modelmentioning

confidence: 99%

Spatial Network Calculus and Performance Guarantees in Wireless Networks

Feng¹,

Baccelli²

2023

Preprint

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This work develops a novel approach towards performance guarantees for all links in arbitrarily large wireless networks. It introduces spatial regulation properties for stationary spatial point processes and develops the first steps of a calculus for this regulation, which can be seen as an extension to space of the classical network calculus. Specifically, two classes of regulations are defined: one includes ball regulation and shot-noise regulation, which are shown equivalent and leads to upper bounds on the interference power; the other one includes void regulation, which lower constraints the signal power.These regulations are defined both in the strong and weak sense: the former requires the regulations to hold everywhere in space, whereas the latter only requires the regulations to hold as observed by a jointly stationary point process. Using this approach, we derive performance guarantees in device-to-device, ad hoc, and cellular networks under proper regulations, respectively. We give universal bounds on the SINR for all links, which gives link service guarantees based on information theoretic achievability. They are combined with classical network calculus to provide end-to-end latency guarantees for all packets in wireless queuing networks. Such guarantees do not exist in networks that are not spatially regulated, e.g., Poisson networks.

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Separability, Asymptotics, and Applications of the SIR Meta Distribution in Cellular Networks

Cited by 22 publications

References 31 publications

A Dominant Interferer Plus Mean Field-Based Approximation for SINR Meta Distribution in Wireless Networks

A Dominant Interferer Plus Mean Field-Based Approximation for SINR Meta Distribution in Wireless Networks

On the Downlink SINR Meta Distribution of UAV-assisted Wireless Networks

Spatial Network Calculus and Performance Guarantees in Wireless Networks

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