Here, the integer k represents the number of objectives, and the set X constitutes the feasible set of decision elements—specifically, a set of PHY system parameters. The function fk(x) represents an objective function in PHY system design, corresponding to essential performance metrics. Additionally, Ck signifies the design constraints. In the context of PHY system design, the collection of PHY system parameters encompasses elements like modulation coding scheme, FEC scheme, coding rate, number of spatial streams, transmission bandwidth, packet format, and more. Conversely, the objective functions encapsulate latency and reliability requirements. The primary aim of the cross-layer design is to establish system parameters for a specified set of parameters p1, p2, p3, ..., pi to ensure minimized latency, maximize reliability, and reduce energy efficiency. The design constraint must be subjected to transmission delay (Tdelay <; 100 µs) and probability error threshold(Pe th <; 10−3) within a working duration of one year.
The cross-layer design focuses on the PHY and MAC of the industrial WLAN system (iWLAN), as depicted in Figure 1. The aim is to reduce latency and enhance reliability. Numerous challenges within these layers are intricately enmeshed, impacting the overall system performance. The MAC component's cross-layer design encompasses protocol timing, user scheduling, data exchange mechanisms, and signaling methods. These mechanisms directly influence the design of the PHY system, necessitating compliance with pre-defined upper-layer protocols.
Conversely, the PHY system involves extensive baseband signal processing. Factors like employed transceiver algorithms, latency timing processing, and achieving low-complexity implementations are crucial considerations within this layer. The timing processing in PHY is critical for the entire system to meet specified protocol requirements. Moreover, the PHY system is pivotal in determining overall system reliability, as link-level performance significantly contributes to transmission reliability.