Clock mesh synthesis method using the Earth Mover´s Distance under transformations

A novel clock mesh generation method is proposed based on the EMD_g (Earth Mover´s Distance under transformations) algorithm. A bottom-up approach is adopted in creating local-level tree clusters to drive the generation of a regional-level uniform clock mesh. The EMD_g method incrementally moves the regional-level uniform clock mesh closer to the register cluster roots in order to reduce the total stub wirelength. Post-EMD_g mesh reduction, the redundant mesh wires are eliminated from the initial uniform mesh in order to reduce the mesh wirelength, preserving the stub wire connections and the integrity of the clock mesh. The optimization results show that the proposed method can achieve an average total wirelength saving of 20.1% and power savings of 12.2% on a suite of ISCAS´89 benchmark circuits compared to the previous clock mesh generation methods.