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Modeling and analysis of nonuniform substrate temperature effects on global ULSI interconnects
Ajami, A.H.   Banerjee, K.   Pedram, M.  
Dept. of Electr. Eng. & Syst., Univ. of Southern California, Los Angeles, CA, USA;

This paper appears in: Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
Publication Date: June 2005
Volume: 24,  Issue: 6
On page(s): 849- 861
ISSN: 0278-0070
INSPEC Accession Number: 8438720
Digital Object Identifier: 10.1109/TCAD.2005.847944
Current Version Published: 2005-05-23

Abstract
Nonuniform thermal profiles on the substrate in high-performance ICs can significantly impact the performance of global on-chip interconnects. This paper presents a detailed modeling and analysis of the interconnect performance degradation due to the nonuniform temperature profiles that are encountered along long metal interconnects as a result of existing thermal gradients in the underlying Silicon substrate. A nonuniform temperature-dependent distributed RC interconnect delay model is proposed. The model is applied to a wide variety of interconnect layouts and substrate temperature distributions to quantify the impact of such thermal nonuniformities on signal integrity issues including speed degradation in global interconnect lines and skew fluctuations in clock signal distribution networks. Subsequently, a new thermally dependent zero-skew clock-routing methodology is presented. This study suggests that thermally aware analysis should become an integrated part of the various optimization steps in physical-synthesis flow to improve the performance and integrity of signals in global ultra large scale integration interconnects.

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