Multi-rate Equivalents of Cyclo-Static Synchronous Dataflow Graphs

In this paper, we present a transformation that takes a cyclo-static dataflow (CSDF) graph and produces an equivalent multi-rate synchronous dataflow (MRSDF) graph. This fills a gap in existing analysis techniques for synchronous dataflow graphs, transformations into equivalent homogeneous synchronous dataflow (HSDF) graphs exist, but these suffer from an exponential increase in the graph's size. The presented transformation allows the rich set of existing analysis techniques for MRSDF graphs to be applied to CSDF graphs. We show the applicability of this transformation by demonstrating its effectiveness on the problem of optimising buffer sizes under a throughput constraint.