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Frequency Response Analysis

  • 1. fn th,q (h " t" r -.lJ ont +h o nsc rn€ a {t t c t e 'de Sp on.s I RH c-u;renicir )4:4h,'zlt u,id --in J_e<{ cnCLt- A .- -hqvr< nC...- ha-lt ? )e r 4- Phqs3l&-g rn qq rli os( yaitq r cto .'ircfA P - 'T* -Po Jr*r-Piats_&-. Nqgru: E Lluts O t-rr r,. r. D .y'-r'i rlr' : t , r)^f t,.,r,'*a,,^. <,h, ry --@ Dn e r6q? )- 4'r-[45,r -u_
  • 2. il : u)f QtrSg--AS- tsnt ?c+rzcl lz rl re-ej{ri 4gi- -w_rn _ t tr) Eeceu=s. qf (q-qyel+sg.n --be&p--esir* 1,nr< &sg' v', - -. , --*. - * {a,?ue _ sp<rfts*tic 15 , _. h,*.€ - C!L,t _bc c.tsrlgg_Uedrcf erl 11sr"jr4_ {rrYqt,e',crl - - r{o rocLi t_ +rci."&E4fie1) i_ 1J-__ t 1 ---- t155c5sc ci -: ersr- i,f-{ Tlg tF oi fr-/ d"'n-o""i - { (at-t -h+ eLpL]t4n---Q,: * rn e4 St-La-c" P&jrtry d-oee-, Grt S' __ *hesh!!S aJie u sdd h <. b-4}!eiea_l r ) ?r L(&r
  • 3. 'c(l --*reSc_OArl b'r - J- , W*--=_*l {i_qrl &l_l -cll lll)m^ _"_!J"!__j _ru r !rc tt, rt) "UAI]U * "% __rrfa -Et*gf e-asl-*is .--K*or.o L _qE___tres n i 1 " kg ( r.ncq {_eL_-rr:hi$lha*fl- ]|_'-ffi.fi-*-ffi__
  • 4. d_ + CPn *C orr.hu O *rffi {gg+I! qfjsrr-,- !4i,gq-Q- a- --1 rq r-r _- 1)Oq1ch" o qp,IltIeg,!j+1 _Ate_ =P@ -Uf t--' tl} I :i 1 3'- esei ta -- _}-,1 I_ &srgor Pe .-K REs"qlELL-Jtr, $* ;,r* i ; =@ U
  • 5. d Lu L, .r '}'t'- L- L-E .l *,_ I>,_1._fU rq;oe ._ tl Riscaao1 _ kox t: etLCtgt-J-rLA - ___ -r/ t- -/ r - c-{ >,/ _=.i=:-:,- =- q R_(s) __ <2 r 5( t i o_Q C) lrrr grc4 dr5d z!! e t de y oslfJr-rrG
  • 6. .Ara = .e<Er -L L,t, -)"c{l lSe c -J) -f -= -0."L5 -edic -.tfaE?.-t !+- L,J L-l:Cs 'l 1) .J T
  • 7. t c ''rcul lq c ?#q"- j_ - L-, I t LL .i-r f-_{:_21j R,r s c, ;ttttr r! il rtLu - e{-. f ) &qse,lgrLUle+6-4 -- -i , J- Ru -sl t t(vtL ery - , rLl Gbf cu'rt ?( gi,nq.jl!_-! *rr, lu tr€ .S_c,!4n l__ _{**rso+ i{ -Gf$x(:l;t lT h 'l ' -.ri*;i -_ - 5l-lhe- PcJe : zs:r-E -ruq-h+crstrti'c:,1 -4- A ..C-LTI- ,'-q ,/ . , | '','l T. -._- r r o ,.' I **g-Lutte cf . Etg}!_lloe B.tu t^ Y '+ rhe s;ilte- shud-o ", A fr nl.n--Ct'l:q
  • 8. 9"dq PJoLs Co "SSts o; +,,-r c . -- - YLofld1ir+. pfti+ s ;f _ _ 11 2'13<Ls!'rrqr4r./s -.t- 5<_a ',!+=r -4-t'{1{_e{* r.t ) i. ltrr',tz Art ;' ,t - !!alf*;-= t-i {+ _*_;r_L,q .rl fl i + rci€ ! c, }__Zc_lrry! -_- E,-l - P,-, le 5 - t / ) r. { )Ltri'
  • 9. hl A qO C]Q - e;heTe.-s i,c. nQ.--q+: l2-qJei-_ 1F -ant|"to * f-i' -u ze'ros = s. -[vPe - of - the .A'oe iS 'tV c i'.!,- - - - F :c, n le here- n-i-S ,l q, 3_-zSzeS--4-.t-_*_ -----ntrig ia -{ _----_ U {n- nL)" c c-rf ,i i ha oJ -ha o @ S;"n n-] ) &rl od s-ns_b:&?*g" ,s 6tsj * - 2c d"bIcie ,il ! ) r G -si^r# L-':-zi u*u-(- | ZurLArc----
  • 10. glufr rt$ _i'tzt Stl )(stre SLtp fz-r - -- -'+--r .4:r-eins{t"l I .t J, li-{-' *€, J:,',''sL uacJ(: Iob J r it'-, €rr ttr .-Ii:r - | .l Pu{ -' -t 4r'
  • 11. Egrc r"'r c,.,hro(z- 'f zr? c,,' - --s!*--y4:-tzgJcrt, Fe q*rt'*'tc - * --iY A':tt,a - 'sb'.n 1 | iu) -=J-t--- Norxa ' -zcd4dec *2cdblde< i LL) ,L 1+ jt- f-c l-J .f ,, C r,.-." S haVe {"Y -- Lr ( crre r ?ceiL_- +* .:, McU '1 ;_l za Jtylsil Io logf - * --rr- .*20loqn, -rv K 2t,ab .-. I #-tt lrse &a I lrranc = _/ Jtlr11r_ = _9e" : t_,g.'(!_.'l L--=ri t --
  • 12. t i c clst_t_l'ni!i f -cv*U { nr$cl-€r P /rcist' u qr Q: ..tl Wq Qrs{ c,:t ('t nl fhcrit c t:"f+ 0rk; _+ i"q! !{L c+l cu, B u r- 1: uDL clr(trr' g--perycrrrl(i'cltbt -{i'}V r -r-
  • 13. oe a s &j "-ry-L9r{!!A- ttc qc+l---l-(qpe QSe , - - dr b'pc -Zr, F t be Pjrqse ne ve'{ - -Cr? 5gJ -iJ&A-*- eoce -Glr-l .'-:t-S: I ' ^t I- U - | I - t l- -/ irrhe'ilent rul -t /i4_19_ __ _ a x pthe,r I ,'S -frr Lh< S-/51<.nt iS ebScfutte H- 'A ctth: Ct- tcn .b-sS!trrr) {q"> Lr}p( t( 4-r"1-* lzni-:--lq -J --d( IL +& - Sdi LLeL-iS - -aQY,*'-q cu .I - 6' Xh!- S*r> ten
  • 14. { I{ lor c t L:le n L-r'c i ltt tL- A bcuttr, , P.ilqE ___ LL- Ll.lirk{ r € s_ * r+ I /' s.!5iqlq'o q - trq .,; ---1..r.,'l ll - L lLrl , g{Lgn Gir_
  • 15. -S--lg-q> i9 :j!id ?.::J,-rr ;-' -_: -._--_.. --l.-t_L Le-n< , i,, -_.--__1-. ____ * C'ack'r-z €v-I- -{n: u s t a7t"s 'TrJoe.- J*r, __jue- l? __]_.LLP< .l {J' ) I#J?u-l It:e cLTE_s{ _a syLtrr;s__ct' r_b,c_ft,)_dn__ Qlt:5{!!JI") (ttsTn) -Ta c!1ttst@
  • 16. fv!E_:UE__ _LL _i S_ _l i Lc ! r ijT__ :,' Li, r - i;q'3 '/cLfLi nt ir-tct-br,7 i-bi--Sy:)-Kr-,: /Io:rl''-.*i.la ci lti -el-ra i . r-l c( _L {^trl
  • 17. SLAbi Ic,t s - | 'r . t Q' L-_ t [, _ {L_(tez1airx_ T not- haEi +------- cs)firs 1-SC lclt:)-ktl,>Ll-- x l-!l . t.Pa C?f l) L'rM ': LC - J' I X 4'; --att '' fr{-;-igr-J+
  • 18. .- | | Li. (her.k Slrrbitifr X*A 5e!Le----r- iS- ( t sb i5 rNtI crrg:_(+arcl _ ,Lf r^t5l c.r;-,lg Irr ,SX-L(rrl ;'-9= 9b-qtr-, ) c ' vr ,(.
  • 19. ll UeO cr-r -6* €S Dc n # . --I gn (t a h_,e l_i rn-eM /;rapr1;V€ 4he l- hp rure -l hc.cl Q'd <' . It - ;5-(i q1(:ahi c-i D:, , :,-/-,-t-. -i:: 4i's tmiqe ir' I i - r ; * at c-lS fr ..'> >!-(LbX A d t)tlt ;o{nrmatr"oo aboq {- 'f he -L -e:.lcgue- sLcbi&LL r 9L -7 --- -f Tra c{ +; ;L$l ,ocl"-+n* --- tJ ____!_ :1;eIp r)'ns c _ Ef_ _the l' -th{--sP-s2-ls!P ( '. ^1 - , a xl_!!_t.:: S h rluc-l _Qc$", cct_ t tern. Ris) -)t( C (S)
  • 20. -Tltti, llx c L-s { ir i _ clrcitr'(c R'a iStic ( st rl (S+ 3l ,'._ - gg_sL=_ Llslsfhc/ a(s)-- J :_ZLSrz) t as-r+Xsr+/- 5t4 /-tI r--{<---f.--t -- )t
  • 21. -l:nt z<zos ei F(s) Qte S:-t"Sg_-4"qt -Tht lr''Jeq pf Fasrr qre 5=-1*'-,? -!c.rn e Z(D AS 'Zr I t'. lszis-delg rr-|' nr tl s f gJ- S-:pl+t'e I I ( ir.E ' arS:l-I-Lt*Lii'n On 4,- ,'r r)C] ( 3 ) Car-t tD LhL-- :, -i:- tq.t q hy-,r- sI iJ!---4-h< i ! q:n bt 5Y c1J:-Q"
  • 22. 1:L"qt' n{g- = -=L-,r__4 S,r z) T,TG; ? - tc,o+* ,: la ud L;LlF i i" 2f !"r r-) (st r) Cs t: / ts-tit=f*it tZrstz+ _ .-/r' , .l ,*=_ z( 51 'L,) cLn_ l-t Gl
  • 23. :rrc -[errien.t s N '-*2 -;e ')( Itr((crrl'K _ N" ' _; *f Vtzlttl-ic-[ccrqt lnl 15-Cfi#;as!L-qs - )l =- D-'7 C t J ts OLT z----elss ct- -{*f-P-el5--in :D.k -k i rlO fl - v-' fneir.-,]:ecx ttb ioL-'6-sqtid- t_q ,b Clnse rl -pl&hui{ iL : - LS +t t d.ro ,Lte- {-ir I or Krci5-( -g, nr:u-dgl g1-ts fi 1( t-l e q4-e-d--A.s-
  • 24. I .]-- :Ihe vce.us .1 rrr,, n .f orl ?r d, i+U'l-Sects. Tx:th ft!. Z pi:l+t S, .. - .l * l- -*-azrr.uIh riq i, r I a J n, .-, ,.;jc,, )i)p. r : 1_ a-i_ she u:r- ?+n ,l-t ffe-sjt ' dhecLta_,'.LJ= c t.azrrkJJi rig_jrr__ f_l_".sig;'Sc I ;lect ; r -_-l-* I +{ =4 --'*--*-- _--_-_* nrAl ht,"rctbr"r. r-ri _ qflutrr(trc,a j@qfe sfl) o in L S '. i-n S, plerr_{ a fc cpt tlra paiut_ = -'J . Ibis is'_ " : rh g _t -fq f ( ,,) has ,,, -rlcdr.re- Cx; ct-L S-_a--! *S; ,- I _.; b ir l., _oi , lf Le =- :a-_r - _oa1 V o,rlt c le flCee*d, t, -$c.{-r,ir 5-L{--5'UC_te__&-
  • 25. ')+. oC€ i{- lS cct ( cc nsilt-{ F( S--vT . {ir'o S = zq - 5l-t t--r-) rtrnCl) l- - - {; n-re q :rr-e{or<u;l5 e.-- q - P tone 'nflL-|,r I T' iE c nc{oSt t} - Punci pk- -A _ _{-LE_lcd* e_oq _f lscKls",st c['i:f e cl-iqe S$tpuE__ -T F _= ll f:z;-- .9-4ttr,'( J l' I c r:=- I C hcc-sc - 5c*fl-e-J-u-bjLx { v-ratqu:{--Ll - -!:g1&n q- -, -
  • 26. *--+ "t( -t- rt < edlele-S_ Lr r,u eL t e ne i1 r I e Jhe _1) Lffr"r! Latlc I +.+_
  • 27. S t{"s {!!i&c rk-, i v c{-,"re c tio.l *trve cr-l-[ ++r e _+qra _:Lhr,_snec;A on'iQ- n itr( Yc J mJ< cot'-k. c i'v'ech'ct t*o -J'o d - Jxk---r,ti ll--gc e_*,Ajre _( :2(e02 f-nd:trr--St-abi-l.r Lrr of 'off? *-+*_cce --- -GtliH{s)- - ----fle rQ- rye -:alilL &o< .tu --Uh-Strcr,Eta
  • 28. ,_ -. e t,e j;_u;-_r:) Sr c'Ljc, 1--_ _..__._..-_
  • 29. s(St z)(917U , uL- V h t ncc calcutl-ct* +Ae - vcLl ,-lr, -'t'tf n t.',r, i(5'f / x 5T ta ) + 1:C ,.. j,c I itf jt:.; K -r.':fuct t-z ffi Jui r JLJ --l4aq ' - A V/ s,__ __rt=_x ' _---_-Eill:-Gffi' r,l-I-----T r------r- | ,, Z-. - - ct'i+tu*J1oeruL--- _ -_L4o,HT va -/ =2-]c" l-t=t n.= 2 ,'q:c it -L^.*r-lt - t U{ 7') -t") - 3 Tgaa x Cnl
  • 30. e * f; .; IT- to ,-.lr iq ; i 1 I { *l rt "cl : ,( i - iA -lr s'-- KeJu & = .-_n.- ti TT- __l_-L__ _ 2 R -+c I,Q r^J l- Lt
  • 31. _-:-- ' l8 -. o- checK ,t''>---*@-"rJr-q 4na ++tg- iokrj(chof ith ---*la zetJ q2q'!-, -+ "e*;eoaf -1.1=g'E.--:t TE:'i[e :2aQr-.r# l<(u}: tcd. ./
  • 32. -4&+e4+ -- ',Lz E za x 1-zo --T- z+ o 1.lot,.) - -.*.-,-l cr,hSaXuL--<{ abf !-L.t- l*. o. ; < i L gau"ul-d* l-r- -L,rt, e tr' t; ,, h K <'z+o d-<d-::'z ,t
  • 33. !^ .' ,' IJLI>L l>>tl 1 s(Srt)(s y z) [r {j*) Hi j ?hcrgc: =----3Q:-t4rd,- 'f .) r- L u'ur ; () r,' lv- Cf, + ,': - --' ^(r /- 1(',
  • 34. :- J-i-z u*" -1*- fl-rt d€ i''-, ul C, ir-l _<r* t ti lY -7 # q r1 i;t lt LI t . t-r, '' - -ii-- -a L' " -__- N-ZL K- -> IL I r) rtJ ' R, ; -' l: -- - : ,L, -'lu f-L " - J-
  • 35. | ; ,1 I'rlea S e 14 c-rl e- |.lAt --- "qii"r]7'3 ---r(- . S LrisjLil+-:, 1,"' le;14 q-dAitq e- :fh i5 -ll)dicatfs- -,:-J.[a-L thdi u s cr-{n 'rl.rcr - Zr' a es - g-L },1:9.io- - ---- 2,q6tzS _ K=Tg*d _"
  • 36. ,) L: L_ ./ f s g, - zaJb sJrye-:t4q _elbleke__ llh i s --,'itr{rlcGtfs___ { -N*o:Le, (' = L5-+pJ_4g 5 =+i 2 "g 6:tlE ( 1-lrrr U _ c __3jL_16_ ' a-.+ i .4'.lr z el pt,-le _ai r 5
  • 37. # t * t t I 6 d, leCtqlrt- = Lc dblc<< - zu ,{L lde, /:1 lia od4ec -ar] 1Ij€..16== -- '
  • 38. -T L,:J 7c clb " ,4a <hlcie f, - i1^, 7'f C .1 t : r'1T,1 C 2-b*'= --*ZQ-X,.l ctr c Lu', -- f C (s) Hts) - Lr,J . o?:t( r{ /1_ wTd - ; catFlqtt{ € &.blolrqtt ',,- zi il.bjA
  • 39. $ I he C LTp !{ r-r n it bqcF srr&barry r sr t-l {Sl , a S-t t )(s-r Z a _SLe rc A *pglar_f DO .-.--. i'Ll.t S -_ J rer_ { nlo- C
  • 40. i ---l-- 1 --'1--- I I ( it- is--erzr&s-g-- Yt,c1 pt- u' V Ir 'r -l h E, -j' l-_cl >g1ia11- 4-fcr [cL.l f lou- t 'it h : r,g- r ; r'r F &:'::tl{_t-j.! ,L. -L I -- -J t.., t
  • 41. )'4n/r L4c.-*'ZXtu,: 3 '2.33 3 f^n/r: -T,V47 clg Sl'l- I t :-=--- . t l- - . S.+r! ft "l ' r ! it t 9L dbj9_ G t{ _e U
  • 42. K 71.,,'tf,-,. > _T L)I>TL rtu, *he p {an-]Jg. fl.('.- ,,rak.lg ^x t^ U ta* ftl: '5 ,i f to) ?L l-he zrcit cJin'l
  • 43. _:! Lq r,). J Q)- --_ -t;t4 t * * i ,-::-*--j*-- cu{ u:l_.Z J:__A 'f . T;- -_ t.t-. p ._-*^i L. Ir - -t1]- zL!--: C - -: - -L =_--_ {-
  • 44. * -1 (= 6t -- F*-.7 SLg-bjS+_X_. rf *, U Sylk -, i: Sfr6.k 2ltK:C u'r E: o s- 13' :r--?s_tK-_: c