Presentation 2008-11-19
Accuracy and Speed Improvement of Random Walk Simulation Using Walk Sharing and Return-to-Start Transient Analysis Technique
Hitoshi MIWA, Goro SUZUKI,
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Abstract(in English) Random walk is a statistical approach to solve electric circuits using Markov chain Monte Carlo method. Unlike conventional circuit simulation, random walk can compute voltages or currents of only a small portion of the large circuit in very simple computation process. However, required computational repetition number per node is large. It is difficult to judge whether the solution has sufficiently converged. To overcome these difficulties, we propose three techniques; random walk termination decision technique, walk sharing technique and return-to-initial-value technique. Without sacrificing accuracy, the walk sharing technique reduced the computational repetition number by about a half and the return-to-initial-value technique reduced the computational repetition number in a transient analysis of a circuit with capacitors by about 20 times in our experiments. In the transient analysis using conventional random walk, all the nodes in the circuit need to be analyzed even if only one node is to be analyzed. Only one node of interest needs to be analyzed using our return-to-initial-value technique.
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Keyword(in English) Monte Carlo method / Markov chain / circuit analysis / power grid noise analysis / random walk / SPICE / KCL
Paper # VLD2008-87,DC2008-55
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Committee VLD
Conference Date 2008/11/10(1days)
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Registration To VLSI Design Technologies (VLD)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Accuracy and Speed Improvement of Random Walk Simulation Using Walk Sharing and Return-to-Start Transient Analysis Technique
Sub Title (in English)
Keyword(1) Monte Carlo method
Keyword(2) Markov chain
Keyword(3) circuit analysis
Keyword(4) power grid noise analysis
Keyword(5) random walk
Keyword(6) SPICE
Keyword(7) KCL
1st Author's Name Hitoshi MIWA
1st Author's Affiliation Department of Information Science, University of Kitakyushu()
2nd Author's Name Goro SUZUKI
2nd Author's Affiliation Department of Information Science, University of Kitakyushu
Date 2008-11-19
Paper # VLD2008-87,DC2008-55
Volume (vol) vol.108
Number (no) 298
Page pp.pp.-
#Pages 8
Date of Issue