  The objective of this study is to analyze the statistics of the data rate and
of the incident power density (IPD) in user-centric cell-free networks
(UCCFNs). To this purpose, our analysis proposes a number of performance
metrics derived using stochastic geometry (SG). On the one hand, the first
moments and the marginal distribution of the IPD are calculated. On the other
hand, bounds on the joint distributions of rate and IPD are provided for two
scenarios: when it is relevant to obtain IPD values above a given threshold
(for energy harvesting purposes), and when these values should instead remain
below the threshold (for public health reasons). In addition to deriving these
metrics, this work incorporates features related to UCCFNs which are new in SG
models: a power allocation based on collective channel statistics, as well as
the presence of potential overlaps between adjacent clusters. Our numerical
results illustrate the achievable trade-offs between the rate and IPD
performance. For the considered system, these results also highlight the
existence of an optimal node density maximizing the joint distributions.
  (This work has been submitted to the IEEE for possible publication. Copyright
may be transferred without notice, after which this version may no longer be
accessible.)
