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IEICE TRANSACTIONS on Fundamentals

Signal Propagation Delay Model in Vertically Stacked Chips

Nanako NIIOKA, Masayuki WATANABE, Masa-aki FUKASE, Masashi IMAI, Atsushi KUROKAWA

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Summary :

To design high quality three-dimensional integrated circuits (3-D ICs), the effect of process and design parameters on delay must be adequately understood. This paper presents an electrical circuit model of an entire structure in through silicon via (TSV) based 3-D ICs with a new equation for on-chip interconnect capacitance and then proposes an effective model for evaluating signal propagation delay in vertically stacked chips. All electrical parameter values can be calculated by the closed-form equations without a field solver. The delay model is constructed with the first- or second-order function of each parameter to the delay obtained from a typical structure. The results obtained by on-chip interconnect capacitance equations and delay model are in excellent agreement with those by a field solver and circuit simulator, respectively. We also show that the model is very useful for evaluating effects of the process and design parameters on vertical signal propagation delay such as the sensitivity and variability analysis.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.12 pp.2614-2624
Publication Date
2015/12/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E98.A.2614
Type of Manuscript
Special Section PAPER (Special Section on VLSI Design and CAD Algorithms)
Category
Device and Circuit Modeling and Analysis

Authors

Nanako NIIOKA
  Hirosaki University
Masayuki WATANABE
  Hirosaki University
Masa-aki FUKASE
  Hirosaki University
Masashi IMAI
  Hirosaki University
Atsushi KUROKAWA
  Hirosaki University

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