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Fine-Grained Performance Analysis of Joint Communication and Sensing Networks Using the SIR Meta Distribution


Основные понятия
The meta distribution of the signal-to-interference ratio (SIR) provides a fine-grained quantification of individual user or radar performance in joint communication and sensing (JCAS) wireless networks.
Аннотация

The paper introduces a novel mathematical framework for assessing the performance of JCAS in wireless networks using stochastic geometry. The key contributions are:

  1. Modeling of JCAS networks and derivation of mathematical expressions for the JCAS SIR meta distribution.
  2. The JCAS SIR meta distribution enables a detailed understanding of the variability in user or radar experiences, going beyond the conventional coverage probability metric.
  3. Theoretical analysis is validated through simulations, and numerical results illustrate how the JCAS SIR meta distribution varies with the network deployment density.

The paper first characterizes the large-scale path loss of the propagation model, considering both line-of-sight (LoS) and non-line-of-sight (NLoS) links. It then defines the SIR models for communication and sensing, and establishes suitable performance metrics based on the SIR meta distribution.

The analysis involves deriving the expressions for the conditional sensing and communication coverage probabilities, as well as their moments. These are then used to compute the JCAS SIR meta distribution, which provides information about the fraction of end terminals (users or radars) that can attain the desired SIR with a certain reliability.

The numerical results validate the theoretical analysis and demonstrate the impact of network deployment density on the JCAS SIR meta distribution. The findings show that scenarios with a larger ratio of users to sensors exhibit higher JCAS SIR coverage, due to the more stringent sensing requirements.

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Статистика
The network deployment parameters used in the numerical results include: Path loss exponents: αL = 2, αN = 3.2 Channel gains: KL = -75.96 dB, KN = -90.96 dB Blockage density parameter: β = 1/140 Base station density: λb = 10^-4 m^-2 User and sensor densities: λu = λs = 10^-3 m^-2
Цитаты
"The meta distribution of the SIR provides information about the fraction of end terminals (UEs or SOs) in the network that can attain the desired SIR (at the level of θc and θθs for SIRc and SIRθs, respectively) with reliability (i.e., probability) of at least x."

Ключевые выводы из

by Kun Ma,Cheny... в arxiv.org 04-03-2024

https://arxiv.org/pdf/2404.01672.pdf
The Meta Distribution of the SIR in Joint Communication and Sensing  Networks

Дополнительные вопросы

How can the JCAS SIR meta distribution be extended to incorporate realistic BS deployment, channel, and antenna models?

To extend the JCAS SIR meta distribution to incorporate realistic BS deployment, channel, and antenna models, several steps can be taken: Realistic BS Deployment: Incorporating realistic BS deployment involves considering the actual locations of base stations in the network. This can be achieved by modeling the BS locations using a more sophisticated approach than a simple Poisson point process. Real-world factors such as urban layouts, building structures, and terrain variations can be taken into account to create a more accurate representation of BS deployment. Channel Models: Including realistic channel models in the analysis is crucial for capturing the effects of propagation environments on communication and sensing performance. Models that consider path loss, shadowing, fading, and interference from surrounding objects can be integrated into the framework. This will provide a more comprehensive understanding of signal propagation in the network. Antenna Models: Antenna characteristics play a significant role in determining the quality of communication and sensing links. By incorporating detailed antenna models that account for antenna gains, beamforming capabilities, and radiation patterns, the JCAS SIR meta distribution can reflect the impact of antenna configurations on network performance. Integration of Real-World Data: Utilizing real-world data from field measurements or simulations can enhance the accuracy of the models. Calibration of the models based on empirical data can help validate the theoretical framework and ensure that the JCAS SIR meta distribution aligns with practical scenarios. By integrating these elements into the analysis, the extended JCAS SIR meta distribution will offer a more realistic and comprehensive evaluation of the performance of joint communication and sensing networks in practical deployment settings.

How would the JCAS SIR meta distribution be affected by the dynamics in the temporal domain, such as data traffic for communication and status updates for sensing?

The dynamics in the temporal domain, such as data traffic for communication and status updates for sensing, can have a significant impact on the JCAS SIR meta distribution in the following ways: Traffic Load Variation: Fluctuations in data traffic levels can lead to changes in interference patterns and signal strengths in the network. High data traffic periods may result in increased interference, affecting the SIR levels for both communication and sensing links. The JCAS SIR meta distribution would need to account for these variations to provide accurate performance insights. Sensing Update Rates: In sensing applications, the frequency of status updates and radar measurements can influence the reliability and timeliness of information. Rapid updates may introduce additional interference or congestion in the network, impacting the SIR distribution. Analyzing how different sensing update rates affect the JCAS SIR meta distribution can reveal trade-offs between sensing accuracy and communication performance. Temporal Correlation: Temporal correlations in data traffic and sensing updates can introduce dependencies between consecutive measurements. This correlation can affect the statistical properties of the SIR distribution, leading to variations in coverage probabilities and reliability levels. Understanding and modeling these temporal dependencies are essential for capturing the dynamic nature of JCAS networks. By considering the dynamics in the temporal domain, the JCAS SIR meta distribution can provide insights into the time-varying performance of joint communication and sensing networks, enabling optimized resource allocation and network management strategies.

What are the potential applications and use cases that could benefit from the fine-grained performance insights provided by the JCAS SIR meta distribution?

The fine-grained performance insights offered by the JCAS SIR meta distribution can benefit various applications and use cases in wireless networks, including: Autonomous Vehicles: JCAS networks play a crucial role in enabling autonomous vehicles to communicate with each other and sense their surroundings. By analyzing the JCAS SIR meta distribution, vehicle-to-vehicle communication reliability and radar sensing accuracy can be optimized, enhancing the safety and efficiency of autonomous driving systems. Smart Cities: In smart city applications, where communication and sensing technologies are integrated for urban management and public services, the JCAS SIR meta distribution can help in designing efficient network deployments. By understanding the performance variations across different locations and scenarios, smart city infrastructure can be enhanced for improved connectivity and situational awareness. Industrial IoT: Industrial Internet of Things (IoT) systems often rely on joint communication and sensing capabilities for monitoring and control purposes. The JCAS SIR meta distribution can provide insights into the reliability of data transmission and the accuracy of sensor data collection in industrial environments. This information is valuable for optimizing network configurations and ensuring seamless operation of IoT devices. Healthcare and Biomedical Applications: In healthcare and biomedical applications, where wireless technologies are used for patient monitoring and diagnostic purposes, the JCAS SIR meta distribution can aid in assessing the quality of communication links and the effectiveness of sensing systems. By fine-tuning network parameters based on the SIR insights, healthcare providers can deliver improved telemedicine services and remote patient monitoring solutions. Overall, the detailed performance analysis enabled by the JCAS SIR meta distribution can drive advancements in diverse sectors, leading to more reliable and efficient wireless communication and sensing networks.
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