Fast Power/Ground Network Optimization Based on Equivalent Circuit ...

0 downloads 0 Views 163KB Size Report
nal power/ground networks extracted from circuit layouts as previous methods .... be modeled by an equivalent circuit shown in Figure 2 [7 ], where the positive ...
Fast Power/Ground Network Optimization Based on Equivalent Circuit Modeling X.-D. Sheldon Tan

C.-J. Richard Shi

Altera Corporation 101 Innovation Dr. San Jose, CA 95134

Department of Electrical Engineering University of Washington Seattle, WA 98195

[email protected]

[email protected]

ABSTRACT           !#"$%'&()"*" %&+-,!.% / 0 1"2(3 "43 ."5!0"/6 789 4:";/!? = 07@?6 %6A)B C "% D0  > #A %E" F 1. INTRODUCTION ujvJw3xy z {*yv|}~i€9z/#‚*}x ƒ2wev/y„'…¤ ‚ e¥#‚ D¦ ‚Œ/}~>² ‚ Ž1œƒ¤#‚ ¦ ‚D¿ Œ}~X>3 ²#5 ‚ Ž7X3 5 : ¶e‹x5  «nu¼Œ/†O vy‡pƒ‹ Šº…?ƒ$ŒWy0ƒ…:wH‡pƒ‹LŒ/}L‡-} ‡pƒ‡©Œ/† ‰%xJŒ…0‡O‘†Ox5…0v †O| ƒ‡Ov} ƒ‹x}]‡pƒxy$ŒWƒ‡Oˆ#x)†p’L…0v †Oˆ#x…3ƒ2w3vU†O‡O}xJŒWyD€ yvy$Œ/ŠLŠL‡-} wexQ”y…?ƒ*€ yx)…0x)}ƒ*‹vJw»Œf€z/8}x ƒ2wev/y„@JŒ/}q‘9x …0‡OŠL€ †-‡p”xJ~1‘’]|…0‡O}+xJ•|‡Oˆ Œ/†Ox)}ƒH)‡py)|‡pƒ5ŠLv'~ x)†O‡O} Ž

3.1 Equivalent Circuit Modeling of Series Resistor Chain ¬3v}…0‡-~ x yLŒ…0xy‡Ox)…Qyx)…0‡O…?ƒvy+ ‹Œ‡O}¼)vŠLŠLv }†p’a…0x)x)}\‡O}™ƒ‹ xL€9zW } xƒ2w3vy„q‡O}¼¯j‡O | yx ¿ ŽL¶e‹xyxfx › ‡O…?ƒ… ‚ q A « N   > # ‚ Ž 7 ‰%yvŠ ƒ‹ xX†-Œ…?ƒ@‡pƒxy$Œ/ƒ‡Ov ¨ *x)vy$~ƒ‹xqyx)…0| †O> ƒ1 } *.Œ}~S7 †O‡O}x …0xJŒ/y$‹‡O}…?ƒx)€@¤fŒ…"B   # Ž

¯ ‡O| yxL¥ZŒ/}~™¯j‡O| yx]¦1…0‹ vWw¤ ‚ xJ•|Œ/† wH‡©~'ƒ‹\ )v } …?ƒ0y$Œ‡O}ƒ…@¦‚UŒ}~\ª  )v}…?ƒ0y$Œ‡O}ƒ…£ À ‚"/  Y")(JF- ^;_ %E €€Ž‚ª/³Jª¤Mª§ À  ¿ §³ §'Ž ¡ ¦J¨Q.Ž °| ƒ0ƒ$Œ+Œ}~ XŽ Œ/yx)„š2  Œ~ vJwH…0„ Œ'c  Ue–*| ƒvŠ8Œ/ƒ‡O…0‡O“)‡O} v‰€9vJwex y z/yv|}~™>u3z{7 07 [U -![FO€ €Ž ¥·ªª¤¥ ³ À £ À ÀÀ Ž ¡ §Wl ¨ kUŽ š°+Ž ¶jŒ}ZŒ/}~@¬*Ž š S Ž*‡O$‹ŒWy$~  ‹ ‡ U25x)†O‡©Œ/‘‡O†O‡pƒ2’'š)v } …?ƒ0y$Œ‡O}xJ~ZŒWyxJŒ+v€ ƒ‡OŠL‡O“JŒ/ƒ‡Ov }@vJ ‰ d«n  œ €9vWw3xy z//yv | }~@} xƒ2w3vy„'…Hˆ ‡-Œ+…0x)•'| x)}xv‰†O‡O}xJŒWy € yv /y$ŒŠLŠL‡O}  Wf‡Oe } Xe0"JWn F m _ %g  ZTYa`8K G?g:g. g [. $O! Z56 "/&L >"/  Y")(JF- €€ŸŽ‚ª³/š=³¤  ¿ § §§ Ž

Suggest Documents