8 Sprg ME854 - Z Pg r Sym Rvw r Sym Rvw r Sym Rvw crpo of r Sym: p m R y R R y FT : & U Y Trfr Fco : y or : & : d y d
r Sym Rvw orollbly d Obrvbly: fo 3.: FT dymc ym or h pr d o b corollbl f y l > d fl hr pcw coo p ch h h olo of h FT f. Ohrw h ym d o b corollbl. fo 3.3: FT dymc ym or h pr d o b blzbl f hr fdbck F ch h h ym bl.. F bl or RF <. ohr word ll corollbl mod r bl. 8 Sprg ME854 - Z r Sym Rvw Pg
r Sym Rvw Thorm 3.: Th followg r qvl: corollbl. Th mr pov df for y >. Th corollbly mr h fll row rk. W v Th mr [ - ] h fll row rk for ll. d [ ] v d b y gvl d y corrpodg lf gvcor of.. ; h v Th gvl of F c b frly gd wh h rrco h compl gvl r cojg pr by bl choc of F. 8 Sprg ME854 - Z r Sym Rvw Pg 3
8 Sprg ME854 - Z Pg 4 r Sym Rvw r Sym Rvw r Sym Rvw : Proof by cordco [ ] Th d df p for om Sppo W d d W W W c c c > >. w hv w hv ] [ ch h vcor rl hr for y Sc. glr for om corollbl d m h > v v v d v v v R v W :
r Sym Rvw Thorm 3.: Th followg r qvl: blzbl. v Th mr [ - ] h fll row rk for ll R. v d b y gvl d y corrpodg lf gvcor of.. ; h for ll R v Thr mr F ch h F bl 8 Sprg ME854 - Z r Sym Rvw Pg 5
r Sym Rvw orollbly d Obrvbly: fo 3.4: FT dymc ym or h pr d o b obrvbl f for y > h l c b drmd from h hory of h p d h op y h rvl of [ ]. Ohrw h ym d o b obrvbl. fo 3.5: FT dymc ym or h pr d o b dcbl f hr mr ch h bl or R <. ohr word ll obrvbl mod r bl. 8 Sprg ME854 - Z r Sym Rvw Pg 6
r Sym Rvw Thorm 3.3: Th followg r qvl: obrvbl. Th mr pov df for y >. Th obrvbly mr O h fll row rk. W O v Th mr [ - ] h fll row rk for ll. d v d y b y gvl d y corrpodg rgh gvcor of.. y y; h y [ ] v Th gvl of c b frly gd wh h rrco h compl gvl r cojg pr by bl choc of. 8 Sprg ME854 - Z r Sym Rvw Pg 7
r Sym Rvw Thorm 3.4: Th followg r qvl: dcbl. v Th mr [ - ] h fll row rk for ll R. v d y b y gvl d y corrpodg rgh gvcor of.. y y; h y for ll R v Thr mr ch h bl v blzbl fo 3.6: b gvl of or qvlly mod of h ym. Th h mod d o b corollbl obrvbl f y for ll lf rgh gvcor of ocd wh ; h y y d y. Ohrw h mod d corollbl obrvbl. 8 Sprg ME854 - Z r Sym Rvw Pg 8
8 Sprg ME854 - Z Pg 9 r Sym Rvw r Sym Rvw r Sym Rvw Empl: β α blzbl No wh f corollbl 3 α α o dcbl No wh f obrvbl 3 3 y y β β
r Sym Rvw Obrvr d Obrvr-d orollr Thorm 3.5: obrvr ff dcbl. Frhr f obrvbl h fll ordr brgr obrvr gv by whr y mr ch h bl. ˆ& yˆ ˆ ˆ yˆ y 8 Sprg ME854 - Z r Sym Rvw Pg
r Sym Rvw Obrvr d Obrvr-d orollr Sppo h blzbl d l F b h blzo fdbck g F. odr h followg obrvr-bd corollr & ˆ Fˆ Th h ol ym qo : ˆ h & ˆ& & ˆ& ˆ F F ˆ F ˆ y lod loop pol: d F Sbl clod loop ym 8 Sprg ME854 - Z r Sym Rvw Pg
r Sym Rvw Obrvr d Obrvr-d orollr Obrvr-bd corollr K y K F F F No h h obrvr-bd corollr lf my o b bl. No: grl f h ym blzbl hrogh fdg bck h op y h d o b op blzbl. clr h h ym op blzbl f d oly f h dcbl d blzbl 8 Sprg ME854 - Z r Sym Rvw Pg
r Sym Rvw Obrvr d Obrvr-d orollr Empl: d [ ] Wh w plc F d {- -3} d {- -} rpcvly. Th F plc [ 3] plc [ ] [ 6 8 ] [ 5] lod loop pol for h ym r {- -3 - -} bl ym b w hv bl corollr c K 534.697 34.66 8.66 8 Sprg ME854 - Z r Sym Rvw Pg 3
8 Sprg ME854 - Z Pg 4 r Sym Rvw r Sym Rvw r Sym Rvw Opro o Sym Th rl d ccd coco y y & & & & odr wo ym:
8 Sprg ME854 - Z Pg 5 r Sym Rvw r Sym Rvw r Sym Rvw Opro o Sym or : T Prlll coco: Trpo of : ojg of : ~ or : T
8 Sprg ME854 - Z Pg 6 r Sym Rvw r Sym Rvw r Sym Rvw Opro o Sym vr of rfr mr ˆ qr d vrbl.sppo ˆ ˆ f clld vr of ˆ rfr mr rol rl ˆ - - - - - - - - - - T
r Sym Rvw S Spc Rlzo for Trfr mrc f cll -pc modl ch h rl rol rfr mr h propr.th w rlzo of fo 3.9:. -pc rlzo of d o b mml rlzo of f h h mll pobl dmo. Thorm 3.6: -pc rlzo of mml f d oly f corollbl d obrvbl. 8 Sprg ME854 - Z r Sym Rvw Pg 7
8 Sprg ME854 - Z Pg 8 r Sym Rvw r Sym Rvw r Sym Rvw S Spc Rlzo for Trfr mrc wh Th op rfr fco wh b colm vcor of d b R d d p p β β β β β orollbl ocl Form SMO [ ] b β β β β : : : M M M O M M
8 Sprg ME854 - Z Pg 9 r Sym Rvw r Sym Rvw r Sym Rvw S Spc Rlzo for Trfr mrc wh Th p rfr fco wh of b row vcor d c R d d m m η η η η η Obrvbl ocl Form MSO [ ] : : : M M O M M M b η η η η
8 Sprg ME854 - Z Pg r Sym Rvw r Sym Rvw r Sym Rvw S Spc Rlzo for Trfr mrc Th 34 block rfr fco b 4 3 4 3 4 4 3 3 4 3 MMO o mml rlzo
8 Sprg ME854 - Z Pg r Sym Rvw r Sym Rvw r Sym Rvw S Spc Rlzo for Trfr mrc Th ch h d rk rfr mr h followg form b r W R R W k d W d N m p r r k k k k p m k r r r M O MMO lbr rlzo
8 Sprg ME854 - Z Pg r Sym Rvw r Sym Rvw r Sym Rvw S Spc Rlzo for Trfr mrc rlzo Mml MMO lbr rlzo mpl
r Sym Rvw Mlvrbl Sym Pol d Zro fo 3.: Q b p m polyoml mr or rfr fco of. Th h orml rk of Q dod orml rkq h mmlly pobl rk of Q for l o. Q ormlrk Q c rk Q Th pol d zro of rfr of pc rlzo. fco r chrcrzd rm 8 Sprg ME854 - Z r Sym Rvw Pg 3
r Sym Rvw Mlvrbl Sym Pol d Zro fo 3.: Th gvl of r clld h pol of rlzo. No: Pol r rlzo dpd. odr h followg ym mr fo 3.: compl mbr rlzo f rk z z f Q < clld vr zro of orml rk h ym 8 Sprg ME854 - Z r Sym Rvw Pg 4
r Sym Rvw Mlvrbl Sym Pol d Zro vr zro r o chgd by co fdbck F z z z rk rk F rk mm 3.7: Sppo of rlzo f d oly f Morovr f No h wh h fll - colm orml rk.th z h z hr z lo oobrvbl mod. z vr zro d ch h 8 Sprg ME854 - Z r Sym Rvw Pg 5 m
8 Sprg ME854 - Z Pg 6 r Sym Rvw r Sym Rvw r Sym Rvw Mlvrbl Sym Pol d Zro. h zro of f prclr. d h l h h op d o h p rbrry co vcor d pol of o whr h form of h ym p f rlzo. mml b rfr fco d l b y y m p R m P mm 3.: Proof of mm 3.: y U U Y ] [ 4 44 4 3 444444 4 8 444444 64 7 444 4 8 44 64 7
8 Sprg ME854 - Z Pg 7 r Sym Rvw r Sym Rvw r Sym Rvw Mlvrbl Sym Pol d Zro 4 3 3 4 3 3 Empl 3.3: z. >> pck zzro % or >> zzro [ ] z v y >> ll[ - zy3 ;].399.97.866.466.466 v y