The recent increase in the operating frequencies and demand for compact as well as low-power electronic devices, has highlighted the previously neglected interconnect and Electromagnetic Interference (EMI) effects in high-speed designs. The success of high-speed designs depend heavily on the accurate and timely estimation of EMI and related interconnect effects like reflection, delay and crosstalk. However, at gigahertz frequencies, conventional EMI and interconnect macromodels become inefficient, especially when applied to massively coupled interconnects with long delay. This inefficiency is mainly because of the large coupled circuit that results from the application of conventional macromodels. Hence, to address this problem, a new algorithm that combines the advantages of recently developed algorithms, namely, the Waveform Relaxation and Transverse Partitioning (an efficient method to simulate coupled interconnects), and the Delay Extraction-based Passive Compact Transmission-line macromodel (an efficient macromodel for long interconnects), is presented. This algorithm achieves a significant reduction in simulation time. Additionally, a parallel EMI analysis algorithm that further decomposes the simulation into time blocks is also presented. This parallel algorithm results in further CPU time savings and is found to scale well with the number of processors.
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