I. Introduction
A complete wireless edge computing system typically includes edge sensing devices (SDs), an edge server (ES), and users (Fig. 1). Upstream edge SDs collect sensing data and transmit it to the ES through uplink channels. The ES integrates data from the SDs and disseminates to downstream users. Due to advancements in communication and internet of things (IoT) technologies, the number and variety of edge devices have increased dramatically on the upstream side. Additionally, the transmitted data is of higher bandwidth, including high-resolution videos and 3D images. Directly transmitting raw data would overload the upstream channel [1]. On the downstream side, the growing number of users puts an increased workload on the ES with limited computing power [2], [3]. Therefore, for wireless upstream and downstream edge computing systems like the one in Fig. 1, a joint design method is crucial to optimize information gathering and dissemination. This method should ensure accurate downstream task execution while minimizing communication resource consumption during data transmission.