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