Title
Analysis of Digital Circuit Dynamic Behavior With Timed Ternary Decision Diagrams for Better-Than-Worst-Case Design
Abstract
Modern logic optimization tools tend to optimize circuits in a balanced way so that all primary outputs (POs) have the similar delay close to the cycle time. However, in reality, certain POs will be exercised more frequently than the rest. Among the critical POs, some may be stabilized very quickly by input vectors, even if their topological delays from primary inputs are very long. Knowing the dynamic behavior of a circuit can help optimize the most commonly activated paths and help engineers understand how resilient a PO is against dynamic environmental variations such as voltage fluctuations. In this paper, we describe a tool to analyze the dynamic behavior of a digital circuit utilizing probabilistic information. The techniques exploit the use of timed ternary decision diagrams (tTDD) to encode stabilization conditions for POs. To compute probabilities based on a tTDD, we propose false assignment pruning and random variable compaction to preserve probability calculation accuracy. To deal with the scalability issue, this paper proposes a new circuit partitioning heuristic to reduce the inaccuracy introduced by partitioning. Compared to the timed simulation results, on average our tool has a mean absolute error of 1.7% and a root mean square error of 3.9% for MCNC benchmarks and a mean absolute error of 2.2% and a root mean square error of 4.8% for ISCAS benchmarks. Compared to a state-of-the-art dynamic behavior analysis tool, our tool is $15\\times$ faster on average for MCNC benchmarks and $65\\times$ faster on average for ISCAS benchmarks, and can also handle circuits that the previous tool cannot. This dynamic behavior analyzer would enable fast and effective circuit optimizations for better-than-worst-case design.
Year
DOI
Venue
2012
10.1109/TCAD.2011.2181512
IEEE Trans. on CAD of Integrated Circuits and Systems
Keywords
Field
DocType
circuit partitioning heuristic,scalability issue,digital circuit,mean absolute error,voltage fluctuation,better-than-worst-case design,digital circuits,probabilistic information,circuit optimisation,decision diagrams,false assignment pruning,logic optimization tool,timed ternary decision diagram,digital circuit dynamic behavior,primary output,dynamic behavior,random variable compaction,iscas benchmark,logic design,stabilization condition encoding,root mean square error,circuit optimization,better-than-worst-case (btw) design,mean square error methods,probability,ternary decision diagram (tdd)
Digital electronics,Computer science,Logic optimization,Electronic engineering,Ternary operation,Electronic circuit
Journal
Volume
Issue
ISSN
31
5
0278-0070
Citations 
PageRank 
References 
1
0.36
14
Authors
2
Name
Order
Citations
PageRank
Lu Wan11347.39
Deming Chen21432127.66