Asymptotic Behaviour of Reduced-Order Filters
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Asymptotic Behaviour of Reduced–Order Filters A. Le Breton and M. C. Roubaud. N˚ 3311 Décembre 1997. THÈME 4. ISSN 0249-6399. apport de recherche.
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(320) R , R >( * = U . X ( ( * 0 .. * _ ! ! $ "f $ "f $ £ f $ <
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(322) bdQSU'_a`?)e ! #8 ( []lXbdQjU¬lk`mTVU^Sf n U;w $ `mf n . tUfSU. 8 8 8 ! $ R , " $ R >( ( * .# ?Y 8 ! R , " $ R >( * f f m` f n 8 ^ g i.j8 _ Y 8 = º embkU bdQ`zb
(323) > P+QSU;f±°~p¢bdQSU=26`pgU;l egwqT ^S_a`j° emw®`mf=p«fjegfSfSU=`cbd[©gU¨TVU;` ¼ lk^Swk`mS_]U ^jfSsbk[aegf ?*,% ' D % ' - % ' °\%U
(324) Q`gU 0 8 3 8 ( 8> 6 8 # 8 3 8 ( 68 = J× ? L $. 1. 1 . 1. . $. 1. (. . $. 8 68 (. A f bkQSUlqU~^SU;_Ô° U lkQS`m_a_%lkQSe? bkQ`cb¨embkQ¥bdQSU f~^STVU;wk`cbdemwV`mf n bdQSU n U;fSemT'[]f`cbkegw T¬`p AU¬Uu\iSwqU;lklqU n =p¥`cf¥[af=bkU;gwk`m_%[]f=geg_©r[afS«bkQSU »o`m_]T'`mf _©bdUw egwobdQSUiSwkers;Ulkl 3 8
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(329) l{prlqbdUT. 8 * ,7 U*GF 8 ! K 8 $ # 8 , " $ #8 ( ( * .8 ! K 8 8 * , f * .@8 ! K . * 3 8 . . *. *. . ?. . J×mL. . . QSU;wqU [al` % ' c`m_a^jU n iSwqe\sU;lkl° []l ` wqU`m_ c`m_]^SU n ijwkers;U;lql$`mf n [albkQSU c`m_a^jU n egSlkUwqc`cbk[aegfiSwqe\sU;lkl % ' º embdU:bkQ`cb ! #8 ( `cf n QSU;fSsU`c_alqe0 #8 # 8 ( ~°[]l [af n U;iU;f n Uf=b|e $ $ .8 8 (
(330) ^Sf n Uw P+QS[]llqpr$ lqbkU;T-s`mfU½ wkUwq[]bqbdUf 1. *. . . 3 8. <8. . $ ,. . # 8 ,. . #8 (X( . . . 3 8. 8. . *. " f $ * 8 , *GF 8 # 8 , #8 ( ( . . $ " $. * 8 ( 3< 88 * f ,O* .89= $ f n Uw V°jbkQSUos;egf n []bk[aegfS`m__¯` e $ 3 8
(331) <8 ( g[©gUf 68*[al+bdQjU-Co`m^Slqlk[a`mf_¯` . 38 8 ( 8 ( QjU;wkU 8 <8 ( []lbkQSUolkeg_]^jbk[aegf$bde $X$ $ * <88 # 8 , #8 (X( 388 * J×cW L $ " $ f 38 * , # 8 , * 8 , 8 * 8. ( <8 $ " $ #8 ( ( $ []bkQ $ ! ! ( $ f 6( `cf n 8 % ' 1 (< \ 1 (< []ltbdQjU fSegfjfSU;=`zbd[©gU n UfS[©bdU:lqeg_]^ ¼ bd[]egf bde. . . 8 ,. . $.  ÌLNM5MÆ÷÷. . # 8 ,. 8 8 8 , 8 08 ( ( " $ $ . f. # 8 ,. J× L. "f $. #8 (X( . . .
(332) W []bkQ ! ' 5Ub. ! 1
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(336) ^Sf n U;w [a f n `mU;f in U;f n U`mf=fb n Z\bd[]QfS`zsb<U Y $ ! # 8N8 `m(X(f n # 8 n UiA U f n `mfegf0n ; $ . 8 R 8 ( (< ; -; ¨ egfS`m_©wkpgU °Sbk QS U ! 1 8 . . fr^jT'Uwd`cbkegwe bdQSUoUu\iSwqU;lqlk[]egf ×J ? L4s`mf$U½wk[©bkbdUf. # 8 3 8 (g i.j <8< Y 8 68 J×mL 5 7 5 7 5 $ 7
(337) E 8 @%(* ! @ ( * ( $ $ f $ \ e > QSU;wqU E 8 %@ ('K 5 7 5 7 # 8 @%( ( * B8 M ( $ $ $ `mf n B84[]l®bdQSU¨segf n [©bd[]egf`c_N_¯` \e $ 3 8
(338) 8 (g[©gUfU6e8 [ U $ B84[]l®bdQSU<Co`m^Slqlk[a`mf¡_a`? []bkQ¢TVU`cf 8 <8 ( `mf n seÆc`mwq[¯`cfSs;U 8 n UfjU n `cAe?gU . º embdU½bkQ`c$ b. 5 7 5 7
(339) (2 ( * B8 M ( e $ \
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