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© Digital Integrated Circuits
2nd
Wires
Digital Integrated
Digital Integrated
Circuits
Circuits
A Design Perspective
A Design Perspective
The Wire
The Wire
Jan M. Rabaey
Anantha Chandrakasan
Borivoje Nikolic
July 30, 2002
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© Digital Integrated Circuits
2nd
Wires
The Wire
The Wire
transmitters
receivers
schematics
physical
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© Digital Integrated Circuits
2nd
Wires
Interconnect Impact on Chip
Interconnect Impact on Chip
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© Digital Integrated Circuits
2nd
Wires
Wire Models
Wire Models
All-inclusive model
Capacitance-only
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© Digital Integrated Circuits
2nd
Wires
Impact of Interconnect Parasitics
Impact of Interconnect Parasitics
Interconnect parasitics
reduce reliability
affect performance and power consumption
Classes of parasitics
Capacitive
Resistive
Inductive
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© Digital Integrated Circuits
2nd
Wires
10 100 1,000 10,000 100,000
Length (u)
No of nets
(Log Scale)
Pentium Pro (R)
Pentium(R) II
Pentium (MMX)
Pentium (R)
Pentium (R) II
Nature of Interconnect
Nature of Interconnect
Local Interconnect
Global Interconnect
S
Local
= S
Technology
S
Global
= S
Die
Source: Intel
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© Digital Integrated Circuits
2nd
Wires
INTERCONNECT
INTERCONNECT
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© Digital Integrated Circuits
2nd
Wires
Capacitance of Wire Interconnect
Capacitance of Wire Interconnect
V
DD
V
DD
V
in
V
out
M1
M2
M3
M4
C
db2
C
db1
C
gd12
C
w
C
g4
C
g3
V
out2
Fanout
Interconnect
V
out
V
in
C
L
Simplified
Model
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© Digital Integrated Circuits
2nd
Wires
Capacitance: The Parallel Plate Model
Capacitance: The Parallel Plate Model
Dielectric
Substrate
L
W
H
t
di
Electrical-field lines
Current flow
WL
t
c
di
di
int
ε
=
LL
Cwire
SSS
S
S
1
=
⋅
=
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© Digital Integrated Circuits
2nd
Wires
Permittivity
Permittivity
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© Digital Integrated Circuits
2nd
Wires
Fringing Capacitance
Fringing Capacitance
W - H/2
H
+
(a)
(b)
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© Digital Integrated Circuits
2nd
Wires
Fringing versus Parallel Plate
Fringing versus Parallel Plate
(from [Bakoglu89])
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© Digital Integrated Circuits
2nd
Wires
Interwire Capacitance
Interwire Capacitance
fringing parallel