EQUADI : A Linear Complexity Algorithm on Transient Power / Ground ( P / G ) Network Analysis for ASICs

This paper presents a hybrid algorithm on P/G netwo rks of Mesh+Tree topology for ASICs. Based on existing al orithms, equivalent circuit method and TLM-ADI method, our a lgorithm is of linear complexity to solve P/G networks of Mesh+Tre e topology. First, it uses equivalent circuit approach to compress the M sh+Tree P/G circuit into the circuit only of Mesh topology, whi c is a linear complexity and error-free process. Then, it uses th TLM-ADI approach to linearly solve the reduction circuit of Mesh top ology. Last, once the reduction circuit is solved, it can back-solve all leaves nodes from the base nodes of trees, which is linear complexity. Ex periments show that our method is indeed linear complexity to analyze P /G networks of Mesh+Tree topology for ASICs while it speeds up two magnitudes over