GT ECE 6458 - Distributed RC and RLC Interconnects (37 pages)

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Distributed RC and RLC Interconnects



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Distributed RC and RLC Interconnects

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Pages:
37
School:
Georgia Institute of Technology
Course:
Ece 6458 - Gigascale Integration

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Distributed RC and RLC Interconnects GSI Class ECE6458 What about inductance for global lines I t Vdd uo t L R C I s Vdd 1 s sL R sC Vdd Vdd 1 1 1 V s I s sC s sL R 1 sC s 2 L Rs 1 sC sC C Vdd V s R 1 2 LCs s s L LC Vdd V s LCs s 1 s 2 2 R 1 R 4 1 2 L 2 L LC 2 R 1 R 4 2 2 L 2 L LC Vdd Vdd K 0 K1 K2 V s LCs s 1 s 2 LC s s 1 s 2 d R T s 2 s ds L R 1 T s s s L LC 2 K 0 LC K1 1 R 1 2 1 L K2 1 R 2 2 2 L Transient Solution for Lumped Model Vdd K 0 K1 K2 V s LC s s 1 s 2 2 R 1 R 4 1 2 L 2 L LC R 1 t 2L 2 Vdd 1 V t e LC R LC 1 2 1 L 2 R 1 R 4 2 2 L 2 L LC 2 4 R L LC 1 R 2 2 2 L e R 1 R 2 4 t 2 L 2 L LC 1 t R t 2 1 V t Vdd 1 e 2 L e R LC 1 2 1 L 2 4 R 0 L LC 2 4 R 0 L LC 2 4 R L LC 1 LC 2 2 2 L R 2 Under damped C Critically damped 2 4 R 0 L LC R L e 1 R 2 4 t 2 L LC Over damped L R 2 C L R 2 C Calculation of inductance d S1 1 v lc 1 l 2 cv Flux Linkage L I Bid S 1 S1 Single Line Global Interconnect Model Rtr x 0 x L l x r x Vdd uo t c x x Ground Planes 2 2 V x t rc V x t lc 2 V x t 2 t x t On caulk board Discuss lossless solution Discuss low loss solution Open Circuit Terminations 1 rL jwC L V x t lc 2 V x t rc V x t 2 t x t 2 2 2 r V x s V x s lcs s 2 l x V x s Ae r x lc s s l Be r x lc s s l Find Solutions to this J A Davis and J D Meindl Compact Distributed RLC Interconnect Models Part I Single Line Transient Time Delay and Overshoot Expressions IEEE Transactions on Electron Devices Vol 47 No 11 pp 2068 2077 November 2000 J A Davis and J D Meindl Compact Distributed RLC Interconnect Models Part II Coupled Line Transient Expressions and Peak Crosstalk in Multilevel Networks IEEE Transactions on Electron Devices Vol 47



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