RMLP-Cap: An End-to-End Parasitic Capacitance Extraction Flow Based on ResMLP

With continued transistor scaling and increasing interconnect density in very large-scale integration (VLSI) circuits, the parasitic capacitance of interconnect has become a major contributor to circuit delay and signal integrity degradation. Fast and accurate parasitic capacitance extraction is therefore essential in the back-end-of-line (BEOL) stage. Currently, 2.5D parasitic capacitance extraction flow based on the pattern matching method is widely used by commercial tools, which still suffer from lengthy pattern library construction, cross-section preprocessing, pattern mismatch, and poor accuracy for small capacitance extraction. To overcome these limitations, this work proposes an end-to-end parasitic capacitance extraction workflow, named residual multilayer perceptron interconnect parasitic capacitance extraction (RMLP-Cap), which leverages a residual multilayer perceptron (ResMLP) to enhance traditional workflow. RMLP-Cap integrates parasitic extraction (PEX) window acquisition, pattern definition, feature extraction, dataset generation, ResMLP model training, and capacitance aggregation into a unified flow. Experimental results show that RMLP-Cap can automatically define and model complex 2D patterns with 100% matching accuracy. Compared with a field solver based on the boundary element method (BEM), the ResMLP model achieves an average relative error below 0.9%, a standard deviation under 0.2%, and less than 0.5% error for small capacitances, while providing a 900% speed improvement for extraction speed.

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Publication Details

Journal
Electronics
Published
2025-12-22
DOI
https://doi.org/10.3390/electronics15010036
Primary Topic
Low-power high-performance VLSI design
Type
article
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article

RMLP-Cap: An End-to-End Parasitic Capacitance Extraction Flow Based on ResMLP

Ziyang Wu, Xinya Zhou, Wenchao Liu, Bing Lu et al.
Electronics
Low-power high-performance VLSI design
article

RMLP-Cap: An End-to-End Parasitic Capacitance Extraction Flow Based on ResMLP

Ziyang Wu, Xinya Zhou, Wenchao Liu, Bing Lu, Bin Li, Jiacheng Zhang
article en

Abstract

With continued transistor scaling and increasing interconnect density in very large-scale integration (VLSI) circuits, the parasitic capacitance of interconnect has become a major contributor to circuit delay and signal integrity degradation. Fast and accurate parasitic capacitance extraction is therefore essential in the back-end-of-line (BEOL) stage. Currently, 2.5D parasitic capacitance extraction flow based on the pattern matching method is widely used by commercial tools, which still suffer from lengthy pattern library construction, cross-section preprocessing, pattern mismatch, and poor accuracy for small capacitance extraction. To overcome these limitations, this work proposes an end-to-end parasitic capacitance extraction workflow, named residual multilayer perceptron interconnect parasitic capacitance extraction (RMLP-Cap), which leverages a residual multilayer perceptron (ResMLP) to enhance traditional workflow. RMLP-Cap integrates parasitic extraction (PEX) window acquisition, pattern definition, feature extraction, dataset generation, ResMLP model training, and capacitance aggregation into a unified flow. Experimental results show that RMLP-Cap can automatically define and model complex 2D patterns with 100% matching accuracy. Compared with a field solver based on the boundary element method (BEM), the ResMLP model achieves an average relative error below 0.9%, a standard deviation under 0.2%, and less than 0.5% error for small capacitances, while providing a 900% speed improvement for extraction speed.

ElectronicsVol. 15(1)
Guangzhou Electronic Technology (China) (CN), Public Risk Management Association (US), South China University of Technology (CN)
Openalex Percentile: Top 43%
Low-power high-performance VLSI design
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