`BEFORE THE PATENT TRIAL AND APPEAL BOARD
`
`In re: Inter Partes Review of:
`
`U.S. Pat. No. 7,116,710
`
`USS. Pat. No. 7,421,032
`
`U.S. Pat. No. 7,421,781
`
`and U.S. Pat. No. 8,284,833
`
`Inventor: HuiJin,et al
`
`:
`
`IPR No. Unassigned
`
`Assignee: California Institute of Technology
`
`Serial Concatenation of Interleaved Convolutional Codes
`Common Title:
`Forming Turbo-Like Codes
`
`
`
`Mail Stop PATENT BOARD
`Patent Trial and Appeal Board
`U.S. Patent and Trademark Office
`Box 1450
`Alexandria, Virginia 22313-1450
`
`Submitted Electronically via the Patent Review Processing System
`
`DECLARATION OF PAUL H. SIEGEL
`
`ActiveUS 159440043v.1
`
`1
`1
`
`Apple v. Caltech
`IPR2017-00701
`Apple 102(cid:22)1123
`Replacement - Apple 1123
`
`
`
`Declaration of Paul H. Siegel
`
`I, Paul H. Siegel, declare as follows:
`
`1.
`
`Tam overthe age of 18 and am legally competent to makethis
`
`declaration. I make this declaration based upon my own personal knowledge.
`
`2.
`
`lamcurrently a Professor at the University of California, San
`
`Diego, in the Department of Electrical and Computer Engineering, the Jacobs
`
`School of Engineering, and the Center for Memory and Recording Research.
`
`Bu
`
`I have been asked to provide a statement of certain facts related to
`
`workI did together with Henry D.Pfister relating to the serial concatenation of
`
`rate-1 codes through uniform random interleavers.
`
`4.
`
`Beginning in early 1999, I collaborated with Dr. Pfister, then a
`
`Ph.D student of mine, to show that improved error-correcting codes can be
`
`constructed from simple components, e.g., by serially concatenating an
`
`arbitrary outer code of rate r < 1 and m identical rate-1 inner codes.
`
`5.
`
`The result of that collaboration was a presentation at the 1999
`
`Allerton Conference on Communications, Control and Computing, in Allerton,
`
`Illinois (“1999 Allerton Conference”) in September 1999. This conference was
`
`held September 22-24, 1999, and was opento the public for attendance. Any
`
`person who wanted to attend and was able to pay the attendance fee could
`
`ActiveUS 159440043v.1
`
`
`
`attend. The 1999 Allerton Conference was considered one of two primary
`
`conferences on the topic of iterative decoding during the time. The 1999
`
`Allerton conferenceitself, as well as the proceedings that took place there,
`
`were publicized and generally known to those who were interested in topics
`
`relating to error-correcting codes and iterative decoding.
`
`6.
`
`At the 1999 Allerton Conference, I presented a series of slides
`
`relating to my work with Dr. Pfister on a class of codes based onserial
`
`concatenation of a rate-r code with m > 1, uniformly interleaved rate-1 codes.
`
`In these slides, I discussed an example of these codes, called a “Repeat-
`
`Accumulate-Accumulate” (or “RAA”) code. An RAA codeis is similar to an
`
`RA code (Divsalar,et al., Allerton ’98) to which an additional accumulator has
`
`been added. I compared RAA codes to RA codes and concluded that the RAA
`
`codes were able to achieve a lower word-error-probability than the RA codes,
`
`demonstrating that the performance of RA codes could be improved by
`
`including an additional accumulator. This presentation was entitled “The
`
`Serial Concatenation of Rate-1 Codes Through Uniform Random Interleavers,”
`
`and I presented it in the ITA: Coding Theory: Iterative Decoding and Turbo
`
`Codes Session on September 22, 1999, the first day of the conference. A true
`
`and accurate copy ofthe slides that I presented at the 1999 Allerton Conference
`
`is attached as Exhibit 1.
`
`ActiveUS 159440043v.1
`
`
`
`[hereby declare thatall statements made herein of my own knowledge are
`
`true and that all statements made on informationorbelief are believed to be
`
`true; and further that these statements were made with the knowledgethat
`
`willful false statements and the like so madeare punishable by fine or
`
`imprisonment, or both, under Section 1001 of Title 18 of the United States
`
`Code.
`
`ousfe FBLASiege
`
`Paul H.Siegel
`
`ActiveUS 159440043v.1
`
`
`
`
`
`
`
`
`Exhibit 1
`Exhibit 1
`
`
`
`
`
`5
`
`
`
`
`
`yBnoiylSepoyd|-a}eyJOUOI}eUd}eDUNDJelIaSaU]
`
`
`
`
`
`
`
`SJDAB9|J9}U]WOPURBYWOU
`
`[eBaIs“HINneYpueJalsygAiueH
`
`
`
`
`
`qe](YVLS)Bulpiooaypureuolssiwsuesjeubis
`
`
`
`
`
`
`
`
`
`BOUBIBJUODUOLAI|V
`
`
`
`6661‘2-72Jequiejdas
`
`iy
`
`Btuuop|e>JoAusaaniuyy
`
`OSILQUES
`
`
`
`obaigues‘elusoyijedJoAyisueaiun
`
`
`
`nps'pson©{jebaisd“41a3sydu}
`
`6
`
`
`
`oY],
`
`
`
`
`
`
`SIOARI]IOIUTWOpULYULOJIUAYSNoIY],SopoDJ-aeyJouoNeUavoUO|[eLIOS
`
`BuILINO
`
`
`
`
`
`QOUPWJOHS8qBpoODpukespuNnoguoIUp
`
`
`
`
`
`SS
`
`Ayewuwns
`
`
`
`
`
`SEpOD(VV)e7einuinooy-ayejnuinooy-jeedey
`
`
`
`
`
`SOPOD|-a}eYJOuolyeUayeOUOD[eles
`
`7
`
`
`
`
`
` osz1quesLosaiqung‘piusofin9foknssaaiuyy‘dnowySurpsosaypupuorssnusunsyjousi¢<aa
`
`
`
`
`
`
`
`
`
`SEP0D(Vy)syejnuNnooy-yeadoypueuolyeus}eoUOyDjeues
`
`
`
`
`
`
`
`
`
`UOIUneeeoeereSIOARO[IOIUT
`jousisalaaa==
`Zzosaiqung‘piutofingJokpssaaiup‘dno1ySuipsoraypunuoissnusuvay
`
`
`
`(Ox/9q)u—-2=%‘]UUBYOUeISSNedJO“Be{JUapUedapjauUeYosIz
`
`
`
`:(Bulpoosppoouljey!|-wunuuixew‘jauueyossejAiowewW‘jndul-Ayeulg)
`
`
`
`
`41YBIeMmyndyno‘myYBIemyndul‘spiomepoo#=Vy
`
`
`
`
`
`
`
`
`WOpUPYWLOJIUAQYSNoIYLsopoDJ[-aAeyYJouoMRUd}BOUOD[eLIOSOUT,
`
`
`
`7JAMO!ebeseneAq“yaoejdes‘sejquiesue104
`
`
`:(4SMOl)UOoUNYJoyesoUNUZjYHIaAA1NdinoIndu
`
`
`
`
`
`
`yeePKUK>Mel
`
`ossiques
`
`
`
`
`
`MgAyjiqeqosd10.148pJOMUOpuNnogUOIUn
`
`8
`
`SOUPWIOJJ9gUOSPUNOg
`
`
`
`
`
`
`
`Oepodyoo|qJeaul|‘u/y=4oyeY
`
`
`
`|eI10S SIOARI[19]UT
`
`
`
`
`¢Opue')JouoleusyeouodjelesAqpeule}qoapoo(Ty‘@w)ay,eqD187e
`
`
`JOAC9]19}U]WAOJIUAeYBnoJY)UONeUS}e9UN4
`
`
`7U7SAMO]ebeseneYM‘TuozsJOJOABO[J9JU!WUOJIUNeYBnosu}
` ‘Cy=TuYIMSEPOdyOo}qJeaUl|(%Y‘ew)‘(Ty‘Tw)aqZD‘ID187e—o-fa]ly|y—
`
`
`
`
`
`
`
`
`
`
`
`o8aiqupg‘piusofinDfoKussaaiup‘dnoaySurpsoraypunuoissnusuvsyjousig—AVYMDPSwansea
`
`
`
`
`
`WOpUPYWHOJIUAYSNOIYL,SoponJ[-aeYJoUoNRUa}BOUOD[eLIOSOY],
`
`(‘—ae=—umn
`yily(1)&"VTa)=
`
`ruTytm
`I;4O=Ty
`
`CS>eli
`
`o831ques
`
`<yin
`
`
`
`“OV“(ajS4AMOIpue
`
`9
`
`
`
` SIOARI[JO]UT
`
`
`
`
`
`WOpURYWUOJIUAYSNoIY],sopodJ-aeyYJouoeuaywouog[elessy]
`
`sapog(WH)s}ejnwWIndoVy-jeeday
`
`
`
`
`
`(G+1)/T
`
`[=9ey
`
`(96,uo}aI/“Je38‘“Wejesaiq)
`
`UA+etQlQ—Uq..«.«eyin
`
`in=Ta
`
`on+In=ta
`
`umt.-.-+tiIn=“a
`
`jousig=>aSoe
`
`
`
`osaiqung‘viusofijyDfoKussaaiup‘dnosysSuipsozaypuvuoissnusunsy
`‘'a¢>:_pusbaPRLIORYEDJOAlsaaqqug,
`
`0831ques
`
`
`
`‘Nb=UOZISJOqJOACOIJO}UIWOPUIYIMO]NWJ8ge
`
`
`
`
`
`:yOO|qJOAOSyeiNwuNooV’e
`
`10
`10
`
`
`
`soul}6jojejo}eNx---ZxTxyoojqindulyeedeye
`
`
`
`
`
`
`
`
`
`[eLIOSDY,
`+alaa ywHIeM
`
`iIndino|sygindino|™yYyBien,yndu;|sigindu|
`
`
`
`
`
`SIOARI[IOU]WOpuRYULOJIUYSno1y],sepodJ-seyYJouoNRUI}vOUOD
`
`
`‘podeyejnundoy(¢‘g)=(¥Sw)‘-eyeYe
`
`
`
`9|dwexyajdwisvy
`
`ossiques
`
`11
`11
`
`
`
`[eLIOSOU,
`os831ques9alaACTE eeeSSS
`
`
`
`
`SIOALI|IOJUTWOpuRYULIOJIUAYSnoIY],SopoD[-aeyYJoUONeUsTROUO|
`
`Oo<yimfr~a=17eeer)Gal
`
`ammb—4‘m
`mb~yft0
`T—|2/m][Z/m]\ym
`
`
`T—4you)~@F
`(86.Uopal|Vy“Je39Uejesaiq)
`
`Joyesawinug1YbIIA\WH
`
`
`(86,U0Lelly‘la6elgpueBieqo,0)epODseyeinuuNooy(wu‘w)
`
`
`(5|
`eponyeedey(NV‘Nb)@
`
`
`9p09WH(N‘NA)e
`
`12
`12
`
`
`
`sy],
`SIOABD]IOUTWOpuLYWUOJIUL)YSNOIYL,SopodT[-oeyYJOUoTRUDJBOUO|D[eLIaS
`
`
`
`
`
`
`
`
`
`wajosy|bulpoyyvH
`
`(96,uopally“Je38“Wejesaiq)
`
`
`
`eusePL<SA/%7AueJO}‘yeyons0<*Xsisixeleu‘¢<DJO4:WaIOeULe
`
`
`
`
`
`FA.eS=
`
`
`
`
`Ayssaaiyftosaiqung‘piusofijnDJoKussaaiuyy‘dnosySuipsoraypunuoissnusuvayjous1gala,—_.
`n--PMOYE,
`
`ossiques
`
`GPCILT&&
`
`gp€1g'0&Wh
`
`
`
`
`
`(PUNOIqJe}A-!q4e}IA,Wold)SeyeWNse°Lajdwexye
`
`‘CiN)O=gind
`
`‘coo+NESeQ<—“MYs0uUEH“Les|—=gdJ9ymM
`
`13
`
`
`
`
`
`‘ebse|sawooeqAyUujbue|yOo|qG
`
`
`
` SIDAVI|JI]UT
`
`
`
`
`
`WOPURYULIOJIUAYSNoIYL,SopodT-aeyYJOUORUD}BOUDD[RLIOSOUT,
`
`S9PODVWJOS0URWOJ0d
`
`z=b9sz=y &T
`sé£seéL$00s'0-
`
`:e=bgsz=y-o-
`
`
`‘1)g=bpzoL=y-x—
`
`g=bZIG=y
`
`e=bZis=y-e-
`
`
`
`=DpZOlL=y-O-
`
`=1‘SepodWHe
`
`14
`14
`
`
`
`
`
`
`o8aigung‘piusofiynDfoknssaaiuy)‘dno1ySuipsoreypupuoissnusunyjousigala—oo
`-~PMOYE:Ayisaaay
`
`
`a
`
`
`
`OB21ques
`
`
`
`[RLIOSOUT,
`
`
`
`
`
`SJOALI]IOJUTWOpUrYUOJIUAYSNoIYLSopo|dJ-aeYJOUONRUDBOUOD
`
`
`
`UO!]BUS}LINUOY|eLI9S
`
`
`
` joinF518>:WJ1O}BUIMO}|O}BU}JOBNJOSy!YOUeJaPOOUSUBJEPISUODe
`
`
`
`TVeyTaey[>Iaey
`
`
`
`15
`15
`
`
`
`
`
`YIMPS}BEUS}EOUODSISPO9}UBYM4AMO|BHesareOu}OzZUE}OeIeUD0}JUBMBA@
`
`coea
`
`
`
`
`
`Aysaaar6o8aiqung‘piusofijnDJoKusaaaiup‘dnoxySurpsozaypupuoissnusupsy,jousigavaiy>i=
`>*-->qasye,
`
`o831ques
`
`‘SOINUY
`
`
`
`
`
`‘(QpODeyejnuunooy(wu‘w)
`
`
`
`ue“6°9)BpoD|-a}e/BYIMEpedsedUIJEAeaLJE}U|WJOJIUAeS}JUeSeudelDINe
`
`
`
`
`
`
`
`9oO0
`
`eS€0€0€00
`
`
`
`S.9INUMUOI}eUa}eDUOD|el1aS
`
`Tey
`
`
`=(=M|0=Y)ed="a
`
`
`
`
`
`
`
`
`
`[eLIOSOUT,
`
`OLosaiqung‘miusofiynDJoKussaaiup‘dnoaySuipaozaypunuoissnusunsyjousig=ATMDa
`€Ofene=[=mf=y)taq]=[a]
`
`
`
`
`‘uUuSl%So0[Md]=d(dLMOl)seniqgeqoiguonlsuesMO]euleqe
`
`
`usl%So‘[fy]=vyeqapo(u‘w)‘|-a7e110)JAMOIIE7
`
`
`
`
`
`SIQABI]IDJUTWIOPURYWUOJIUAYSNoIY,],sxpodJ-aeyYJOUONLUawOUOZ
`0I000€0900OCi
`
`
`‘@podayeinuinooy(¢‘E)=(¥‘%)‘|-e7eYye
`
`'ossiques
`
`
`
`16
`16
`
`
`
`
`
`
`
`
`
`SIDAKILIOIUTWOpURYWUHOJIUAYSNoIYL,sopo|d[-aeyYJouoNeuaywouo|[eLIasoY]
`
`
`
`
`
`
`
`
`
`
`
`S.OINUMUOT}eUs}BIUOD[1193S
`
`LL
`
`jousigalasn==
`o8aiquvg‘piusofiyngJoKnssaamp‘dnosySupsosaypunuoissnusupsy
`
`
`
`
`
`ud)9XL=my
`
`o=ly
`
`
`
`:UOIJEUSJEOUODJeLaSJo"TY4AMO]Beierye
`
`
`
`
`
`[da]=ddiMO!Wimyore‘s,91M(u‘w)|-ayer‘wuJoapeoseDe
`
`
`
`JINJIN.popkuy
`
`TeyTey[>1ey
`
`
`
`“WYAAMOI‘OBpoo(¥‘u)1a1NOe@
`
`17
`17
`
`
`
`
`[eLIOSUT,
`SIOARI]IOJU]WOpueYWOJIUYSnoIYL,Sopod[-aeyJOUOTeUD}ROUO|D
`
`
`
`
`
`
`
`AsoaySniueqos4-uo01ldd
`
`
`
`
`
`uolNnquisipAeuoleysenbiuneseygXIJJEWOISeYOO}ssiqionpeuiUy:WaJOBULe
`
`
`
`
`
`
`
`—‘uw€puewv=JuTsu
`
`
`
`
`
`enbiunYUMqXUeWISeYyoo}s(@AIWWd)dI|POWedeejqionpei!|Uy:WesJOBULe@
`
`
`
`
`
`
`
`
`
`
`
`xuyeWSAIIWdesl‘QOA£‘2‘[q]=4dJOANJWUS|epod|-aye1Jel]Ye
`
`leeee
`
`=ydWl
`
`CO<UL
`
`
`
`‘soysives%uolnquisipAseuoneys
`
`18
`18
`
`
`
`
`
`nNoB21guesAlosaiqung‘viutofinyfoKnssaaiuy‘dnosySuipiorzaypunuoissnusupsyjousigaigere
`
`
`
`
`
`
`
`
`
`[RLIOSOY],
`punuoissnusunsy,usisala==SSSSSS
`
`
`ELosaiqung‘piusofyngJoKnssaaiup)‘dnosySuipsosay
`0I0O2k—-~{|9£0900aae(TEPEFEZ+T0)£0£0£00(I€$0)0oOoOT
`
` L/TL/€EL/EO0T0OL/tL/€L/EO|_Oo£0stOo|=={|L/tL/EL/EO&O£006000Twr000T
`
`
`
`
`
`ajdwisvSIOABI[IOJUTWOPUPYWUOFIUYSNoIYL,sopo|d[-aeyYJouoNLUa}woUO|D
`
`("JU09)ajdwexy
`
`
`‘@pODeyeinuindoy(¢‘E)=(¥‘U)‘,-eyey
`
`o821ques
`
`
`
`19
`19
`
`
`
`[RLIOSOY],
`Sapod|-a}eypukesuolingisjsigA1euoneis
`
`
`
`
`
`
`
`
`
`SIDARI[JOJUTWOpUrYWUOJIUAYSNOIYL,sopodJ-aleyJOUONBUa}LOUOD
`
`
`
`
`
`WJOUNYBnoJU}Sepod|-e}esOAIPIWIdUWJODSaU]JepISUOD:uOTISOdOlge
`
`
`
`
`
`
`
`
`
`
`
`
`
`1YyH1emjndjnoayy‘co<—wsepuesjyBiemjndulo18Z-UOUJO4“SJAeE|JO]UI
`
`
`
`
`
`
`
`SSS
`
`(‘\-—“=iyUl=wae
`
`SIS9POd|-9}e1SAIL
`
`
`
`
`
`CO<—ULYIMOS8poOdT>uoyedAueJO}4MOpebeseneaiquiesuseeu]e
`
`OFAYsof
`,Lb—uG6)
`—Uy
`
`20
`20
`
`
`
`
`
`S|pueUO!N!SIP}yHIEMyndulujJoJUepUsdepuU!SIUONNqISIP
`
`
`
`
`
`vko8aiqung‘piusofiyDJoknssaaiuy)‘dnosySurpsoraypupuoissnusupsy,jousigavaaaSa
`
`o831qURS
`
`
`
`
`
`
`
`
`
`
`
`[RLIOSOY,
`jousi¢aaaFaye>S=Fut
`
`
`
`
`
`AMOebeseneymejquesusueWo}UBsOYoAjWOPUeIBpOde10+:UOIISOdolge@
`
`
`
`
`S|osaiqung‘niusofijvDfo<nssaaiuy)‘dnorySurp.ozaypuvuorssnusupsy
`
`
`
`
` BuiAysiesPJOanjeajsabse]oy}aq(2‘u‘w),pja]‘O<>pue‘T>4oyeu‘wuUGua]404e
`S8P04DPOOsyPI|S9PO04D|-a}eYpajes9}]
`
`
`
`
`
`
`SIOARI[IOJUTWOpUPYWUOJIUAYSNOIYLsopodJ-aeyYJouoNeUd}woUO|
`"WC>(p>“p)4d
`
`TLwiG—UY)yeES<uG(.I-P
`
`O=4
`
`_ |<
`
`oa
`s
`
`
`
`(S961“ebe|eD+40)
`
`‘dy
`
`
`
`21
`21
`
`o821ques
`
`
`
`[eLIOSOY],
`SIQAVO]IOJU]WOpueYWUOJIUYSnoIY],Sopod[-aeyYJoUoNeUaBOUO|
`
`
`
`
`
`
`
`S8PO0DPOOdyeINS9POD|-91eypo}ei9})
`
`
`
`[el4asAqpoure}qosepoow-y}Hu9|Joajquiasueey}JO4:uoNISOdoige
`
`
`
`
`
`
`
`
`
`Jeaul||-9yesSANIWIdCO<—ULUMBPODYOO}QJeEUl]/-9}e1&JOUOI}EUS}eODUOD
`
`
`
`
`
`
`
`
`
`‘SJOABO|JO}U!WOPUe’WOJIUNYBnoJU)Sepod
`
`
`
`
`
`
`
`
`
`
`
`‘(punogAOWeYsIe/A-LEq|IDBU}SASI}ESBPOOBuOSeq]Je‘*9'1)
`
`
`
`
`
`y—uG=(u-)uG>(UieI—-P
`
`_yO=4
`
`2S(9‘4‘u)p>“pag
`
`T>22>(p>““p)td
`
`
`
`
`
`‘UBL“(T=uZ)/(T=wid)(1—uu_p%)=2307sAueyjouog
`
`22
`22
`
`
`
`
`
`BulAysiespjoonjeaysobse]au}sipaoyUM
`
`
`
`
`
`
`
`o831ques
`
`
`
`
`
`91o8aiqung‘piusofijwDfoAnsaaaiuy‘dnorySurpsozaypupuoissnusupsyjousigaaee
`
`
`
`
`
`ZL
`
`
`
`
`osaiqung‘piusofiyvgfo&ussaaiuy‘dnosySurpaozaypupuoissnusupsy,jousigaltai—me
`
`ss*W201eAysaaany
`
`
`o83iques
`
`
`
`
`
`(P<“pbAysivessepooau}Jeysea]ye‘9"!)Z7>(p>“D)aq
`
`
`
`‘punogay}Aq‘ueu)
`
`mIN
`
`rd
`I|
`<
`
`>iV
`
`a |
`
`Ss
`
`
`
`Bulfysies,panyeaysebue]ajndwog
`
`
`
`
`
`
`
`
`
`"S8pOdE]e|NWNDOYPenea|JajulA|WUOJUNUWYIMUONeUE]eOUOD|eLIaSe
`
`
`
`
`
`
`
`S9PO0DVD10}spunog
`
`
`
`‘QO9podsalno‘|>4ayey
`
`
`
`
`
`
`
`SIOARI[IDIUTWOpURYWHOJIUAYSsnoiy]sopodJ[-aeyYJouoNeUawOUOZ[eLIOSOUT,
`
`
`
`
`
`
`
`
`
`23
`23
`
`
`
`jeOWOWNNceEE
` a
`gLsaiung‘vutofinDJoKussaaiuy‘dnosySurpsozaypunuoissnusupsy,jousigava—
`
`
`
`
`
`
`
`
`
`
`
`
`SIOARI]IOUTWOpURYULOJIUAYSNOIY],sapodJ-oeyYJOuoBUa}wOUD[PLIESoY],
`LT>UL—I‘S9PO0Op-yeodeypuec-yeedoyJO}SOUNOGuVi®
`
`
`
`
`O0ZLOOOL008009.007002.0,
`
` punog
`
`
`inoAqsepoday}joyey40}paajuesen6souejsipwnwiuiy
`
`S}iNSsoY
`b/|eyespunogAH=3p=W7Aqyeaday—>
`
`
`
`e/|aye1punog/A\5
`
`p=wzAqyeaday-002
`
`e=wpAqyeedey--OSI
`
`e=WzAqyeadoy.
`
`c=wZzAqyeaday-
`
`L=wzAqyeaday-
`z=W7Aqyeaday
`L=WpAqyeadey
`
`0S¢
`
`OOL
`
`
`
`
`
`
`
`yy6ue7yoo1g
`
`os
`
`2
`
`o831ques
`
`24
`24
`
`
`
`|BOWOWNNneaaaEe
`SS
`6Lo8aiqung‘puusofiynDfokussaaiup)‘dnoaySuipsosaypupuoissnusupsyjousigNe——
`
`
`
`
`
`‘'y>W>T‘sepooyooyo-Ayed9/7ayespueBulwwepy(p‘g)104
`
`
`
`
`
`
`
`
`
`SIOARI[IOIUTWOpuPYWUOJIUYSNoIYLsopo_J[-aeYJOUONRUd}VOUDD[RLIOSOU],
`O00ct000008009OOr0020 4=
`aeeoe:¥ughg/Laye!punogA5>092pawAued8/2a1ey
`
`
`
`
`S]|NSOY
`
`
`
`
`
`punoginoAqsepooay}joJey10}paajuesen6souejsipwnwiuly)
`
`
`
`
`
`b=(p‘g)Burmuey-x-
`
`
`
`
`
`Z=W(pg)Burwuwey-«-
`
`
`
`
`
`e=w(p‘g)Buruwey-«-
`
`OL
`
`OOl
`
`
`
`
`
`
`
`p=Wi(pg)Burwwey-«-
`
`SeekeOOSESeEFSe:8Q
`=.==e+X=>
`
`p=Aye8/2ayeY
`
`
`
`2/beyespunogAD——
`
`e=WAye,8/2ayey
`
`g=wAywed8/2ey->Hog
`
`
`
`os31ques
`
`25
`25
`
`
`
`
`Nb
`
`(G+T)/T
`
`[=1ey
`
`(a+D/I
`
`[=918yY
`
`S8podVVH‘2/1ey SIDARI[IO]UT
`
`
`
`
`
`WOPUYULOJIUA,YSNOIY],SapodJ-oeyYJOUoNeUD}POUOD[PLIESOY,
`
`
`
`
`
`“$1a4say}yey)jseHOnssuolejnwispuesisAjeue‘apooWyHyZ/T=“eye4J04e
`
`
`
`
`
`
`
`
`
`‘uleBBulaeapsiaqulAyyjiqeqosd-40.113-piom
`
`TymiTT=a
`0zo8aiqung‘piusofin)fo<ussaaiuy)‘dnorySuipaosaypunuoissnusuvsyjousigalaey—~
`
`
`
`
`
`
`
`
`
`
`OuSiAsay}yey}seHGnssuolyejnwispuesisAjeue‘apooWYZ/T=4eye1s04e
`
`
`
`
`
`
`
`26
`26
`
`
`
`
`
`se€SzZ$k1sO0s0-ot
`
`ona
`
`
`
`9Sc=e007
`
`
`
`olLG=yZ00V
`
`V2Ol=cooVy
`
`—————————
`
`VVu"SAVu‘2/bo1eu
`
`
`SEPODWWHPURWHJO)272)10119PSOJOuosuedwog
`=8)OL
`
`
`
`‘uolye|NWISJa]NdWOdWoy‘“AYAjiIgeqosd-J0.U98-PuoM©
`
`9Sc=>Lov
`
`
`
`cLS=yLo0V
`
`01
`
`Ot
`
`=Olmi
`
`,0t
`
`
`
`
`
`PZOL=\1LO0y4.01
`
`
`
`
`
`
`
`osziqgues
`
`
`
`
`
`LZo8aiquvg‘piusofiynfoKussaaiup)‘dnoaySurpaosaypupuoissnusupsy,jousigava—Ty—_
`
`
`
`
`
`
`
`SIDARI[IOIUTWOpuRYWUOJIUYSNoIY]SapodJ-aeYJOuoNeUDROUO|[RLIOSoy.
`
`
`
`
`
`
`
`
`
`27
`qi
`
`
`
`
`
`AasewiuuinsaSIOARO[JOUT
`
`
`
`
`
`WOpURYWUOJIUAYSNOIYL,SOPpO|DT-aIeyYJOuoNeUd}VoUOD[RLIOSOY],
`
`
`
`4-92&JOUO!}EUS}BDUOD[elasUOdNpesegsepodjossejOMeu&payebi|SeAu!ae
`
`
`
`
`
`
`
`
`
`‘S@pOO|-9]e1peAeapoyu!AjWUOjlUN‘T<wWYMapod
`
`
`
`
`
`
`
`
`
`SE||OMSeWwWOUUllJOY“VYUONOUNYJOyeEsOLUNUSJYHIOMJNdjnoay)pezAjeueaj,e
`
`
`
`
`
`
`
`
`
`
`
`‘A<nT/47JO}‘YeULYONS©&Blau}SI‘SepoOdYY‘T/T=4404:uonseny
`
`60—NSCO“d
`
`SSS
`
`
`
`
`
`"S8PO0WH0}S8P09VWWHZ/T=4paredwooay,e
`
`
`
`‘punogAoweysie/A-YeqiI5
`
`
`
`94}JOSWJ9}UlSB;|qUesUseseU}JO,sseUupoOb,au}peyenjensaj,e@
`
`
`
`
`
`"CO<—ULJO}AjyeonoidwAse
`
`28
`28
`
`
`
`
`
`
`
`Zzosaiqung‘piusofivDJoKnssaaiupy‘dnorHSuipsosaypunuoissnusuvs[J],jousIS
`
`
`
`
`
`
`
`<tooRuzoye>yoApsaaawpWAT
`Tym=.
`
`
`
`=
`
`os31qgues
`
`