A Frequency-domain Technique for Statistical Timing Analysis of Clock Meshes

Abstract—We propose a frequency-domain modeling technique with applications on the statistical timing analysis of clock mesh/grid networks. Using transmission lines to model clock mesh edges, we express the means and (co)variances of the sink arrival times as polynomial functions of the arrival times of the input signals and the wire widths of the mesh edges, with up to second order accuracy. Experimental results show that the proposed frequency-domain statistical timing analysis technique is efficient and accurate. The relative mean error is less than 1% and relative variance error less than 3%. I