Efficient PEEC-Based Inductance Extraction Using Circuit-Aware Techniques
نویسندگان
چکیده
Practical approaches for on-chip inductance extraction to obtain a sparse, stable and accurate inverse inductance matrix K are proposed. The novelty of our work is in using circuit characteristics to define the concept of resistance-dominant and inductancedominant lines. This notion is used to progressively refine a set of clusters that are inductively tightly-coupled. For reasonable designs, the more exact Algorithm 1 yields a sparsification of 97% for delay and oscillation magnitude errors of 10% and 15%, respectively, while the more approximate Algorithm 2 achieves up to 99% sparsification. An offshoot of this work is K-PRIMA, an extension of PRIMA to handle K matrices with guaranteed passivity.
منابع مشابه
Inner-outer Preconditioning Strategy for 3d Inductance Extraction Coupling with Fast Multipole Method
This paper presents an efficient preconditioning technique in order to couple Partial Element Equivalent Circuit (PEEC) method with Fast Multipole algorithm (FMM).
متن کاملA Quasi-Monte Carlo Solver for Partial Inductances in IC Interconnect Structures
With operating frequencies reaching the multi-GHz range, the role of on-chip inductance is becoming increasingly significant. The inclusion of inductance in the interconnect model is particularly necessary in clock distribution networks and also in signal and power lines, which have wide wires and hence low resistance. The principal complexity in the extraction of inductance is that one needs t...
متن کاملInductance model and analysis methodology for high-speed on-chip interconnect
With operating frequencies entering the multi-gigahertz range, inductance has become an important consideration in the design and analysis of on-chip interconnects. In this paper, we present an accurate and efficient inductance modeling and analysis methodology for high-performance interconnect. We determine the critical elements for a PEEC based model by analyzing the current flow in the power...
متن کاملEfficient inductance extraction using circuit-aware techniques
We propose two practical approaches for on-chip inductance extraction to obtain a highly sparsified and accurate inverse inductance matrix K. Both approaches differ from previous methods in that they use circuit characteristics to obtain a sparse, stable and symmetric K, using the concept of resistance-dominant and inductance-dominant lines. Specifically, they begin by finding inductance-domina...
متن کاملOn-Chip Inductance Extraction, Simulation and Modeling A THESIS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY HAITIAN HU IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY
And have found that it is complete and satisfactory in all aspects, and that any and all revisions required by final examining committee have been made. Abstract As technologies shrink further, operating frequencies increase, and low-k dielectrics are introduced to diminish capacitive effects, on-chip inductance effects become more and more dominant in VLSI circuits. The accurate extraction, si...
متن کامل