An upper bound of the throughput of multirate multiprocessor schedules

Multirate Dataflow Graphs (MR-DFGs) are used for modelling iterative computations, allowing concurrency and arbitrary data rates at ports. This model is often used for signal processing algorithms. For static scheduling the iteration period bound represents the final barrier for the computation speed, the approximation of which is often the goal of an implementation. For the singlerate case (SR-DFG), where all rates are one, an explicit bound exists and is subject of many published papers. This work presents a bound for the multirate case, which reduces to the known bound if applied to an SR-DFG. Assumptions made are a vectorized execution and a blocked schedule that organizes multiple iterations inside one period (also called execution cycle). The influence of characteristic properties in the multirate case is emphasized and related to terms from the Petri-Nets theory.