Matrix analysis
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Generating sparse partial inductance matrices with guaranteed stability
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Matrix computations (3rd ed.)
Handbook of mathematics (3rd ed.)
Handbook of mathematics (3rd ed.)
A pattern matching algorithm for verification and analysis of very large IC layouts
ISPD '98 Proceedings of the 1998 international symposium on Physical design
IC analyses including extracted inductance models
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Efficient inductance extraction via windowing
Proceedings of the conference on Design, automation and test in Europe
How to efficiently capture on-chip inductance effects: introducing a new circuit element K
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Challenges in power-ground integrity
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
Implicit treatment of substrate and power-ground losses in return-limited inductance extraction
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
INDUCTWISE: inductance-wise interconnect simulator and extractor
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
On-chip interconnect modeling by wire duplication
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
SCORE: SPICE COmpatible Reluctance Extraction
Proceedings of the conference on Design, automation and test in Europe - Volume 2
Large-scale linear circuit simulation with an inversed inductance matrix
Proceedings of the 2004 Asia and South Pacific Design Automation Conference
Frequency-dependent reluctance extraction
Proceedings of the 2004 Asia and South Pacific Design Automation Conference
Fast simulation of VLSI interconnects
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
SASIMI: sparsity-aware simulation of interconnect-dominated circuits with non-linear devices
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
A metric for analyzing effective on-chip inductive coupling
ASP-DAC '03 Proceedings of the 2003 Asia and South Pacific Design Automation Conference
Partial reluctance based circuit simulation is efficient and stable
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Compact and stable modeling of partial inductance and reluctance matrices
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Quasi-One-Step Gauss-Jacobi Method for Large-Scale Interconnect Analysis via RLCG-MNA Formulation
ISQED '06 Proceedings of the 7th International Symposium on Quality Electronic Design
Stable and compact inductance modeling of 3-D interconnect structures
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
A fast band-matching technique for interconnect inductance modeling
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Generating stable and sparse reluctance/inductance matrix under insufficient conditions
Proceedings of the 2008 Asia and South Pacific Design Automation Conference
Energy efficiency bounds of pulse-encoded buses
Proceedings of the 18th ACM Great Lakes symposium on VLSI
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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As advances in IC technologies and operat-ing frequencies make the modeling of on-chip magnetic interactions a necessity, it is apparent that extension of traditional inductance extraction approaches to full-chip scale problems is impractical. There are primarily two obstacles to performing inductance extraction with the same efficacy as full-chip capacitance extraction: 1) ne-glecting far-away coupling terms can generate an unsta-ble inductance matrix approximation; and 2) the penetrating nature of inductance makes localized extrac-tion via windowing extremely difficult. In this paper we propose and contrast three new options for stable and ac-curate window-based extraction of large-scale magnetic coupling. We analyze the required window sizes to con-sider the possibilities for pattern-matching style solu-tions, and propose three schemes for determining coupling values and window sizing for extraction via on-the-fly field solution.