核心概念
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.
要約
The paper introduces a novel mathematical framework for assessing the performance of JCAS in wireless networks using stochastic geometry. The key contributions are:
- Modeling of JCAS networks and derivation of mathematical expressions for the JCAS SIR meta distribution.
- The JCAS SIR meta distribution enables a detailed understanding of the variability in user or radar experiences, going beyond the conventional coverage probability metric.
- 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.
統計
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
引用
"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."