Overview of continuous optimization advances and applications to circuit tuning.

Overview of Continuous Optimization Advances and
Applications to Circuit Tuning
Andrew R. Conn and Chandu Visweswariah
IBM Thomas J. Watson Research Center
Yorktown Heights, NY 10598
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ABSTRACT
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1.
NONLINEAR OPTIMIZATION
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Permission to make digital or hard copies of all or part of this work for
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ISPD’01, April 1-4, 2001, Sibinia, California, USA.
Copyright 2001 ACM 1-58113-374-2/01/0004 ... | 5.00.
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1.1
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1.4
Filter methods
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algebra and other packages
› ‰F~}qu@Linear
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1.5
2.
LOOKING TO THE FUTURE
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2
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APPLICATION TO CIRCUIT TUNING
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values
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LANCELOT
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SPECS
New transistor
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4.2
Lagrangian
ª qB Am‚ŽWjAdjoint
oAi?BDC BDC,n`v`mAm‚CQMi?x ” v`ij+Bqm‚CQ n)oArt…,QMiNQlBqo;C BqOiwoNQlŽ
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mQlk,o+j‰
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mQMm‚v`Oi;v`mnoNArŽ
t…,QMmjpwˆuAmi?C,Oo;‹ƒiOlBDC ” xqmij)º‚o?BDCQi;C"i;xqˆ+OlBqO‘Ño;€—m™m‚v?‰"minMk
C"m€ AmiNOl…4v`m)Am‚CQŸv`m)©…4BDv`mOiC"m€¹ij)º‚o;BDCQi?C,i?xqˆ+OlBqO‘$–/C"OMQMmij‰
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QlBqArBq˜m`v©…,i?CQlBqQlBqmOiOuQlk,m¥¡-i ” v`i;C ” mA…xqQlBDt4xDBqm‚v`O‰n)o;C"OMQlv`i;BDCQ
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4.3
measurements
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25
20
20
Sensitivity run time (s)
Sensitivity run time (s)
25
15
10
5
100
0
5
10
5
5
60
15
100
0
80
10
15
25
30
15
20
Sensitivity run time (s)
Sensitivity run time (s)
25
20
15
10
5
100
0
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25
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# measurements
(a) Direct method
5
20
# parameters
# measurements
New transistor
and wire sizes
60
20
35
30
60
15
20
20
35
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# parameters
30
20
35
# parameters
# measurements
# measurements
(c) Heuristic choice of method
(d)
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6.
CONCLUSIONS
7.
ACKNOWLEDGMENTS
„M…†‡0†hˆŠ‰‹<ŒMŽŒŽˆ33Ž†‘’Œ“”/Š•–Š—”/ŠŒŽp˜j”/‘Ž‹/Š‹'”'Œ‘'™4ˆŠ†š†hˆj‹'”'”/Š›
”/Š•^3Ž0œJŽ0ˆŠ#‹/Š‹˜@+‹'”^”/Š•†h™ž‰Œ•3ŽŸ‹/Š•: ˆŠ”/ŠŒŽŸŽ0‰¡œ‘‰¢Š†hŽ”
›*Œ•–“ 0”'”/ŠŒŽŸ…0š†£‹'††ŽŸ”/‘†•†hŽ‰Œ 0‹<‘†›†hŽ”“‘Œœ‘†‹'‹¤¦¥§”Š‹
Œ ‘¨†ˆ3Š†hM”/…”›ŒŽ”/3Ž# 0Œ 0‹
ŽŒŽˆ33Ž†‘^Œ“0”/Š•–Š—*”/ŠŒŽ…0‹@•gŽ
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