Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Vectorless verification of RLC power grids with transient current constraints
Proceedings of the International Conference on Computer-Aided Design
Deterministic random walk preconditioning for power grid analysis
Proceedings of the International Conference on Computer-Aided Design
Modeling and analysis of power distribution networks in 3-D ICs
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Scalable power grid transient analysis via MOR-assisted time-domain simulations
Proceedings of the International Conference on Computer-Aided Design
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A frequency-time-domain co-simulation flow using discrete Fourier transform (DFT) is introduced in this paper to analyze large power distribution networks (PDN's). The flow not only allows designers to gain an insight to the frequency-domain characteristics of the PDN but also to obtain accurate time-domain voltage responses according to different load current profiles. An adaptive method achieves accurate results within even shorter time compared to the basic DFT flow. In addition, parallel processing is incorporated which leads to a significant reduction in simulation time. Error bounds of the DFT flow are derived to assure the accuracy of simulation results. Experimental results show that the proposed flow has a relative error of 0.093% and a speedup of 10x compared to SPICE transient simulation with a single processor.