A semantics-aware communication scheme to estimate the empirical measure of a quantity of interest via multiple access fading channels

In this paper, we address semantics-empowered communication strategies that simultaneously incorporate semantic aware active sampling and transmission over a shared communication medium. We consider a setting where the goal is to devise a joint sampling and communication scheme over a wireless multiple access channel (MAC) that enables to compute the empirical probability measure of a quantity of interest (QoI) at the destination. We conceptualize a simple application example that illustrates the potential of the approach to provide scalable and resource-efficient operation in massive connectivity settings. We numerically assess the performance of the scheme against an upper bound derived under the assumption that direct access to the noise-free measurements is provided at the destination.