制度:新 ; 文部省報告番号:甲2642号 ; 学位の種類:博士(工学) ; 授与年月日:2008/3/15 ; 早大学位記番号:新480

Yang Yun

English

制度:新 ; 文部省報告番号:甲2642号 ; 学位の種類:博士(工学) ; 授与年月日:2008/3/15 ; 早大学位記番号:新4802textthesi

楊, 贇

32960

Yang, Yun

32959

Waseda University Repository

Effective network grid synthesis and optimization for high performance very large scale integration system design

DSpace at Waseda University

  早稲田大学大学院情報生産システム研究科      博 士 論 文 概 要      論  文  題  目    Effective Network Grid Synthesis and Optimization for High Performance Very Large Scale Integration System Design       申  請  者  楊  贇  Yun  Yang  情報生産システム工学専攻 高位検証技術研究     ２００８ 年 ２ 月   Thesis Summary  Wi th  r ap id  deve lopmen t  on  the  p rocess  t echno logy  sca l ing  and  r ecen t  r equ i remen t s  on  h igh  speed  “Sys tem on  Ch ip  (SoC)”  sys t e m,  many  r e sea rches  a re  engaged  in  the  des ign  me thodo log ie s  fo r  h igh  pe r fo rmance  VLSI  sys t em.  Ne twork  g r id  sys t ems  have  been  pa id  a t t en t ion  a s  t he  co re  e l emen t s  o f  VLSI  p rocess ing  sys t ems  because  o f  t he i r  r egu la r i t y  and  sca l ab i l i t y .  The  e f f i c i en t  ne twork  g r id  syn thes i s  wi th  g loba l  op t imiza t ion  i s  one  o f  t he  r ecen t  key  cha l l enges  in  VLSI  sys t em des igns .  We  foc us  on  the  ne twork  g r id  sys te m des ign  in  th i s  t hes i s .   One  o f  t he  mos t  w ide ly  used  ne twork  g r id  sys t e ms  i s  t he  power /g round  (P /G)  d i s t r ibu t ion  ne twork ,  and  i t s  syn thes i s  and  op t imiza t ion  in  the  VLSI  c i r cu i t  l ayou t s  i s  ve ry  i mpor t an t .  For  t he  P /G ne twork  syn thes i s ,  a  nove l  syn thes i s  me thod  o f  “Gr id  Syn thes i s  us ing  Gene t i c  Algor i thm (GGA)”  i s  p roposed  to  op t i mize  t he  P /G ne twork  unde r  the  non l inea r  cons t r a in t s .  In s t ead  o f  the  conven t iona l  SLP  ( sequence  o f  l i nea r  p rogramming)  a lgor i t hm wi th  t he  non l inea r  t o  l i nea r  ne twork  t r ans fo r ma t ion  and  the  equ iva len t  mode l  r educ t ion ,  t he  nove l  GGA method  can  man ipu la t e  the  non l inea r i ty  d i r ec t ly ,  and  avo id  the  l i nea r  t r ans fo rma t ion  lo s s  and  the  loca l  op t imiza t ion  sna re .  The  improved  “Hybr id  Gr id  Syn thes i s  based  on  Genet i c  Algor i thm (HGGA)” ,  i nc lud ing  the  gene  d i s tu rbance  and  SLP-gene t i c  combina t ion ,  i s  a l so  p roposed  to  dea l  w i th  the  dynamic  s igna l  s i t ua t ion  and  inc rease  the  gene t i c  ope ra t ion  speed .  The  GGA method  i s  based  on  the  ana logy  be tween  the  b io log ica l  co lony  evo lu t ion  and  the  ne twork  g r id  g loba l  op t i miza t ion .  Exper i men ta l  r e su l t s  show tha t  t he  new P /G ne twork  syn thes i s  a lgor i thm can  ob ta in  sma l l e r  s i ze  compared  wi th  ex i s t ing  syn thes i s  a lgo r i thms .  In  the  GGA based  syn thes i s  s t eps ,  t he  ana lys i s  o f  t he  P /G ne twork  wi th  complex  induc tance  and  decoup l ing  capac i t anc e  (DECAP)  i s  i nc luded ,  so  we  can  use  the  gene t i c  a lgo r i thm fo r  the  ana lys i s  o f  complex  ne tworks  wi th  non l inea r  e l ement s  l i ke  induc tance  and  DECAP.  Thus  the  p roposed  GGA and  HGGA methods  a re  e f f i c i en t  fo r  VLSI  power /g round  ne twork  syn thes i s  and  ana lys i s .   Ano the r  VLSI  ne twork  g r id  des ign  dev i sed  in  th i s  t hes i s  i s  t he  h igh  pe r fo r mance  sys to l i c  a r r ays  wi th  ex t r a  connec t ion  wi re s .  T rad i t i ona l  sys to l i c  a r r ays  fo r  ma t r ix  mul t ip l i ca t ion  a re  su f fe red  f rom l a rge  th roughpu t  l a t ency  and  low u t i l i za t ion  r a t e  o f  p rocess ing  e l emen t s  (PEs) .  The  p roposed  improve ment    methods  fo r  t he  sys to l i c  a r rays  a r e  focused  on  ne twork  g r id  connec t ion  wi res  among  p rocess ing  e l e men t s .  Wi th  add i t iona l  connec t ion  wi res  and  ca re fu l  computa t ion  sequence  ad jus tmen t ,  t he  e f f i c i ency  o f  sys to l i c  a r r ays  can  be  improved  and  the  compu ta t ion  t ime  can  be  r educed  by  the  g loba l  p ipe l ine  ope ra t ion .  Two  conf igura t ion  a lgo r i thms  name d  “Super  P ipe l ine”  and  “ Jumping  Sys to l i c  Ar ray  ( JSA)”  fo r  sys to l i c  ne twork  g r id  a re  p roposed  fo r  h igh  pe r fo r mance  VLSI  sys t e m des ign .  The  ne twork  g r id  des ign  o f  “Super  P ipe l ine”  i s  focused  on  th roughput  l a t ency  and  u t i l i za t ion  r a t e  t o  r ea l i ze  f a s t  ope ra t ion  speed ,  compac t  a r r ay  a rea  and  fu l ly  p ipe l ined  ope ra t ion .  Fo r  l a rge  sca l e  sys to l i c  a r r ays ,  i t  i s  ha rd  to  app ly  the  “Super  P ipe l ine”  me thod ,  and  ano the r  “ Jumping  Sys to l i c  Ar ray  ( JSA)”  me thod  i s  p roposed  fo r  the  sca l ab i l i t y  wi th  a r r ay  s i ze ,  computa t ion  s tab i l i za t ion  and  g loba l  concur ren t  r e l a t ionsh ip .  Var ious  p l ana r  sys to l i c  a r r ay  topo log ies ,  such  a s  the  squa re  topo logy  and  the  hexagona l  topo logy ,  have  been  s tud ied  to  cons t ruc t  t he  su i t ab le  sys to l i c  a r r ay  to  r ea l i ze  h igh  pe r fo rmance  ma t r ix  mul t ip l i ca t ion .  New sys to l i c  a r r ays  wi th  nove l  ne twork  g r ids  can  man ipu la t e  t he  inpu t /ou tpu t  ma t r i ce s  da t a  i n  fu l ly  p ipe l ined  manner  o r  in  g loba l  j umping  manner  under  the  g iven  sys to l i c  a r r ay  s t ruc tu re .  The  de ta i l ed  ana lys i s  show tha t  t he  p roposed  ne twork  g r id  des igns  can  r ea l i ze  fu l ly  concur ren t  ope ra t ion ,  f a s t  p rocess ing  speed  and  compac t  a r r ay  a rea .  The  a r r ays  gene ra t ed  by  the  p roposed  a lgo r i thms  can  a l so  domina te  o the r  sys to l i c  a rch i t ec tu res  i n  severa l  g r id  cha rac t e r i s t i c s ,  such  a s  the  band  wid th ,  t he  ma t r ix  complex i ty ,  t he  expans ion  capab i l i t y ,  and  the  sys to l i c  p ipe l ine  pe r fo r mance ,  e t c .   Chap te r  1  i n  t he  thes i s  i n t roduces  the  bas i c  i deas  o f  t he  ne twork  g r id  r e sea rch .  Two  i mpor t an t  ne twork  g r id  types ,  i nc lud ing  the  power /ground  (P /G)  ne twork  g r id  and  the  sys to l i c  a r r ay  ne twork  g r id ,  a r e  i l l us t r a t ed  fo r  t he  d i scuss ions  in  the  fo l lowing  chap te r s .  Our  con t r ibu t ions  and  thes i s  o rgan iza t ion  have  a l so  been  g iven  fo r  de ta i l ed  under s t and ing  o f  the  p ropose d  a lgor i thms  and  th i s  t hes i s  s t ruc tu re .   Chap te r  2  desc r ibes  the  background  and  r ecen t  r e sea rches  o f  t he  ne twork  g r id  des ign  me thods .  A t  f i r s t ,  t he  ne twork  g r id  des ign  t a rge t s  a re  shown  to  c l a r i fy  t he  impor t ance  o f  t h i s  t hes i s  r esea rch .  The  c l a s s i ca l  a lgor i t hms  fo r  t he  P /G  ne twork  g r id  ana lys i s  and  syn thes i s  a re  p resen ted  in  th i s  chap te r .  D i f f e ren t  cons ide ra t ions  and  des ign  t a rge t s  a r e  g iven  a s  t he  fu l l  i n t roduc t i on  o f  t he  P /G ne twork  g r id  syn thes i s  and  op t imiza t ion .  The  sys to l i c  a r ray  r e l a t ed  re sea rches  have  a l so  been  i l l us t r a t ed  t o  show the  sys to l i c  a r r ay  deve lopmen t    h i s to ry ,  t he  a r r ay  g r id  app l i ca t i ons  and  the  sys to l i c  a r r ay  a rch i t ec tu re s  fo r  t he  ma t r ix  mul t ip l i ca t ion .  The  des ign  cons ide ra t ion  fo r  ne twork  g r id  sys t ems  i s  d i scussed  in  the  chap te r  fo r  t he  fo l lowing  p roposed  me thods .   Chap te r  3  desc r ibes  the  syn thes i s  a lgo r i thms  fo r  t he  power /g round  (P /G)  ne twork  g r id  op t imiza t ion .  The  bas i c  P /G  ne twork  g r id  syn thes i s  p rob lem i s  fo rmula t ed  to  g ive  the  des ign  ob jec t ive  under  t he  syn thes i s  cons t r a in t s .  The  bas i c  SLP  a lgo r i thms  a re  in t roduced  to  show recen t  s i tua t ion  o f  P /G  ne twork  g r id  des ign .  Then  the  nove l  “Gr id  Syn thes i s  u s ing  Gene t i c  Algor i thm (GGA)”  i s  p roposed  fo r  P /G  ne twork  g loba l  op t i miza t ion .  The  gene  d i s tu rbance  p rocess  and  the  SLP-gene t i c  comb ina t ion  me thod  a re  a l so  in t roduced  fo r  t he  new “Hybr id  Gr id  Syn thes i s  based  on  Gene t i c  Algor i thm (HGGA)” ,  t o  so lve  the  dynamic  s igna l  i n f luence  and  reduce  the  P /G ne twork  syn thes i s  t i me .  By  the  popu la t ion  evo lu t ion  and  computa t ion  independence ,  t he  p roposed  gene t i c  me thods  ensu re  the  min ima l  l ayou t  a rea  and  op t imize  the  P /G  ne twork  g r id  syn thes i s .  Exper imen ta l  r e su l t s  have  shown tha t  t he  g loba l  evo lu t ion  op t i miza t ion  and  the  non l inea r - l i nea r  l o ss l e ss  t r ans for ma t ion  a re  e f f ec t ive  fo r  the  P /G  ne twork  g r id  syn thes i s .   Chap te r  4  p resen t s  t he  ne twork  syn thes i s  fo r  sys to l i c  a r r ay  g r id .  The  t r ad i t iona l  sys to l i c  a r r ays  a r e  g iven  to  show the  g r id  improvement  r e sea rches .  The  new “Super  P ipe l ine”  sys to l i c  a r r ay  i s  p roposed  by  connec t ion  ne twork  ad jus tme nt  and  ma t r ix  da t a  sequence  a l loca t ion .  For  l a rge  sca l e  sys to l i c  a r rays ,  we  need  to  use  the  improved  “ Jumping  Sys to l i c  Ar ray  ( JSA)”  me thod ,  wh ich  enab les  the  da t a  jumping  among  p rocess ing  e l emen t s  (PEs )  and  ob ta ins  the  op t i ma l  sys to l i c  a r r ay  g r id  des ign  fo r  l a rge  s i ze  a r r ays .  The  app l i ca t ion  r e su l t s  have  been  compared  wi th  the  ex i s t ing  sys to l i c  a r r ays  to  demons t ra t e  the  e f f ec t iveness  o f  new sys to l i c  a rch i t ec tu res .  Wi th  the  p roposed  methods ,  we  can  ob ta in  fu l ly  p ipe l ined  ope ra t ion  and  g loba l  concur ren t  computa t ion .   Chap te r  5  conc ludes  ne twork  g r id  syn thes i s  and  op t imiza t ion  me thods  fo r  P /G  ne twork  and  sys to l i c  a r r ays .  The  r esea rch  cha l l enges  and  the  fu tu re  works  on  ne twork  g r id  op t imiza t ion  a re  a l so  d i scussed  fo r  nex t  s t ep  r e sea rch .    In  add i t ion ,  t he  append ix  sec t ions  a re  a l so  p rov ided  to  desc r ibe  t he  p roposed  a lgor i thms  in  de t a i l .                      

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Effective network grid synthesis and optimization for high performance very large scale integration system design

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