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Inverse Laplace - EE 350 Inverse LOLPIGCQ Tan‘Coom,|...

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Unformatted text preview: EE 350 Inverse. LOLPIGCQ- Tan‘Coom ,|__ Emmfb, Prob‘emS 1. p s+ss+s g m X Note. that PCS) Ls Improper) emo. so 'Fursb use. 0mg common 19: 019+:an 1 31+- 35-r2. ) 37-4-531—5 57‘ +33 +2 ———'—'—_'—_—-—-——. ; zs+3 i 2.5+} F-(s‘: = l 4' ¥____Y________; strictly. proper Rm. ‘9'" Neg-I: cae'hrm'mn. I“; the Pencil-3 ' O'F' 514' 35 -+ Z are. reg-A. or b ‘lmuamwyl' 66, Insfeo‘laon 51+ 35 + 2 == CS+I§C5+zl Qn¢L So 2-5 + 3 __ 25 + '3 = k1 + k1. . 51+ 35 +1. (brats-H.) cs-m can.) i There. fire two firPf-om Q,— 4‘1'1949' kl 6mg K2 . mefiol {a ol¢armfl ‘FroLcL‘ OHS { 2.3 +3 } (Sb-+664?) = i L— + LL1(S¢I)LS+L) (S+O(S+a.} 5"" 5‘”- 2_$ + 3 = k‘(s+z\ + kits "*0 '7:'_____,_.__——————3 23-1-3 (5+0 C5 + 2..) 2.5+3 5+2. }C£+:} 5+! ? 5+2 Us ”a the demon-£10.? firanS'Lorm 1”“ ”:5 .1... SC-t) 6” I “my, eatww) é———3 5_ ? glues .F{.t) 5 Sit-E3) + Bit 4- a-Zi'] putt) 5+1 Ex 7.. F(S :: ) (5+3 CSZ+§$+Q In this “use, PCS) Ls pmpev‘, Fartiw- tha- fiumolrmlsl‘c. fie?!“ tfi 53?— ;+ F" CS) ha-‘s mini 0"" Complex- Pale 5» Ba, nnspewlstm 57-i- 6‘54- 6 = C5+z§£5+33J ahaz So PCS) can 5e. e-Fpanaaaa a; F033 :2 ..—___.5*‘ = h + \‘1. + 1:2 (s-rzMsnY‘ 5+2 5+3 65'”?- Nu-ba thud; ”For 20“.}. polo (in this Call. ‘Htere. are... three.) we, "a”; a. fie rm in the. F a. ring Crwuéron 6"? 417510 ’1- ”ext: Sake- 'Por the. cmfbmb Ki) L2,. :2an K3 Math-:3 # dear-.35: {raw/flan: { 5+1 .BG-rQCA-I'SY‘ 3 {l J3... 4, .512. + £13(s~|23(§+331 (s stats-3)?- 5'”- -‘+ 3 (5+3) 5+! = k‘ (3+ 35" + k; (“Lawn + K; (“3-) 5+! " 51(k‘+K,)+ 5(6K1+ my» 9 + 7K|+6¥1 +K32- For '30. Qb‘mldra’ '50 Dow: kin-H. 11 .L 6kl+ggz+k3 =l -——5 K‘+I<3-_-.| l<l 7K1+6K1 +2.k3 :1 —-——-> 3K1+2k3=1 K3 7' 7- ”ecu/$342.. “COJQVoJEH {he-Hague, The. coc'c-chxm‘tfi k‘ ama- k5 5"" be" gawk? Je-chmmafli (5+2) PCS) :- (5+2) 2.5.1... + 1:2 +__’EL_. J+1 5+3 (5+3) -..: 5+7- (5+1) k + k1 + k— ) J 3?; Set-bind S:- *' 2. on lath Syolha um. Cab W-‘Vdo KL crime ‘53 1 5+1 ~_. c = (5+ --~— - .- K, (5+sz3){ 13734308?) _ l S $=—2. Sun! I in)” 1. k‘ K2- Y- (s-ra) Pa) = (5+337' F“ + —— -1- ___3__.. 5+2. 5+3 0+3)" " I<\ “*9“ + mm) + k3 5+). I? 5€t517 =3 “3 we. can Couaf‘ up kl an& k2. an the YVH: 1(4an IIJfl-z SM 7— 1' F6 ‘="- 1' : K3 0+3) ) {8/75 (“295764 '2. Compwion % [<2 um? the. Cave‘r-«f? ”lathe-:0. F) More. comphcmgcg. Fay-315 noéQ. 154$ (5+3) PCS): (54—33% I“ + "2 4. k3 } 5+2. 5+3 0+3)" _-_-. K $+3 4— k '—l—' \ 4- "z. 3 5+3 5+?— Se‘t'Lny. .S =- - 3 wears—Ur kl) ILA: KJ/f$+3) 1m [3 valet—incog- [4,,t‘er affront} 7S HQQQOaQ Once, again Consl Y (5+3)?- FCS) -.= k‘ (“337’ + FLCS+9 +— K3 S‘rL UJe' Can CWT—JP k9 by ah? the. Jer.w._-L.¢_/ bath 5.3m w.th “5/251; .55, 5 (Q 2. 261-330 +2) -(S+3)7' .— :_- _————————.—- +- 015 {(5 +3) FCS)§ K‘ QS-rzya. 1‘2- 0’2.- Cdn Couzr'*up tn ’7? Se {,‘éfflg, \J 7"— "' 3.; a fig 5° k .—. .09; (5 4-3)” 53(5); __._ (,Q 31L. 2. 01.5 _, j; a(+2. 5 “ " 3 5:3 1‘; .___ (5+1) —- (3+1) = I (5+ 2.) 3- 5:- -3 S + l : __ l 4_ ‘52. + 1 (5+2) (M5)" 5+2” 51'}. $8)" The. Quse £5 Uqfi? M'é JOKQ Var ofl Valves % J _ For Com/amen: a.) saé 5 =— (:2. Then I = -- J— + £3:— -|- A. (23(3) 2' 3 ‘r 1 =- *7 4- Us. + ‘1 => K2, =1 5x3 ZS + ‘b .5qu5 1- 2.5“ Fur-54: Jain—”mac rC fl"?- pn'cu r51 PCS) are. nee—Q or F65) = “mph-ax 51,2 *-%_- '1? %-2r = "—3 t/W 51,2. = -";‘ if? Gecm the, fol.» re, camp/ax He) no.“ Ema” Stfldsaliaka CVM'Eamb :7} tme. In this (Lang- 1412. can a x. r)“ (we. PCS) ‘15 the. Sum 71 p a» r baa-Q Crd—Q'EZ‘WLS k r—st = -—--fl'_ 4‘ ”ah 54—12—047 5+2?!" (fin? U0— I'LGMSlflL szr — up mafilnafl ll ‘0, ,L H a: 0% Illa-E0. fhi k. 7" KL, t '93 beech/JG— 4:69) I; a.‘ rel {:vno‘klon. Gwen \C‘ arug [52) I I Pcs) = ’4’ If T? 4 I" at? S 1' % '3” s1- 3; - 1 ”5'3 1”" aimed"? gawk“ (M? e Mug—a 5:? was ‘%t {.é‘lb {Ire—5H7 Ht) .-= (I 43.336 9 4— (ha-(3'7) act-f) - "t ‘f-L : eff: [(Hfllff)?‘ + {([+0{%)e}v+}* ]“H:) Bacansz 2.2+ 12* - ghee), ,L— M1,.” we 4: 4. (Hap-He” + [(14% any”? _-. we {(Hfikhévl where. Farms CJ-f-u')?‘ + b” 1 Cam P‘Q-‘LQ m- Sbgu re, ['31 fig— flaflOMIflu'é-k % P(S) ‘ 4:2 place, Fl: fa tic, ‘Fcrm (Jami/+177- _. q nun—- 52‘+?5+2_5-* :: C$+-§-3L +15. ] b"'*12 (uAa thug F“) can by. wn'l'JEEn «.5 : 2.5+8 __l 2.5 +5? Peg:- —---—-— —- “—H— 52+?J‘t’25" (5+ £3); + [6 a | W ouflsg ans-Q- SvL'Efar. Q- 5 + ‘l +'§_'”-} I N PI (5+ "*7:- 4‘" ’6 (ba- {CL 2 S ‘1" -3z- + ("l—q/g) q —- (5*31232'4'l6 L, (S+%_‘)L+16 -%£ -.L _ + '9wa .— ‘2 Z Q ((25 "H: u-l-b) + ( L) 9%" 5m hH: ULL-E) “I ...
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