Multi-dimensional(MD) systems are widely used in scientic applications such as image processing, geophysical signal processing and
uid dynamics. Earlier scheduling methods in synthesizing MD systems do not explore loop pipelining across dierent dimensions. This paper explores the basic properties of MD loop pipelining and presents an algorithm, called multi-dimensional rotation scheduling, to nd an ecient schedule based on the multi-dimensional retiming technique we developed. The description and the correctness of our algorithm are presented in the paper. The experiments show that our algorithm can achieve optimal results eciently.
Nelson L. Passos, Edwin Hsing-Mean Sha, Steven C.