8.2 Insertion loss method Basics 1. Power loss ratio (insertion loss) P P P P P P. inc. inc. inc 8-17

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1 Insertion oss method Basis. oer oss ratio insertion oss of an even funtion is f f G f f f f f in in in in in A in in

2 . Maximay fat Butterorth binomia F G stopband attenuation : utoff frequeny I n n o db/deade G I db n db db 8-8

3 . Equa rippe hebyshev optima F G T m T m db stopband m osh osh db attenuatio n db/dead e I db 8-9

4 4. Fiter desin proedure: speifiation F prototype frequeny and impedane sae F to HF BF or BSF transformation iruit reaization 5. o-pass adder netork prototype 8-

5 6. F to HF BF or BSF transformation u u 8-

6 Disussion. I=dB I.=5dBnumber of eements for maximay fat F fiter and hebyshev fiter o n o I db I db osh db 6.5 7eementsm. Maximay fat fiter prototype desin equations I n o o[ o n I db n ] sin p p n osh... n.49 eements Eement vaues see p. Tabe

7 . hebyshev F prototype desin equations p 4a b p p b a a p... m sinh m db n[oth ] 7.7 p a p sin b m p p p m m odd oth m even 4 sin p m Eement vaues see p. Tabe 8.5~8.9 8-

8 Sain impedane sain = impedane frequeny sain for F o o s omponents prototype for vaues saed sameimpedaneby repain by B X

9 Ex.8.6 desin a Butterorth F ith f=mhz I4MHz= db S==5 pf uh pf or nh pf nh n s s Tabe 8.4 p. eements.5 4 o o 4 4 4

10 6. Ex.8.7 desin a hebyshev F ith rippe.db f=mhz I4MHz=5dB S==75 m osh osh 5. 4 eements s nH.5 pf 74.5nH 8-6

11 Ex.8.8 desin a -eement hebyshev F ith rippe db f=mhz S==75 uh pf uh s p.4 Tabe8.9 eements 4 4

12 F to HF transformation impedane impedane

13 9. Ex.8.9 desin a hebyshev HF ith rippe.db f=mhz I5MHz=5dB S==75 m osh osh 5. 5 eements s pF.5nH 4pF Frequeny response see p.5 Fi

14 8-. F to BF transformation impedane impedane u u u u

15 8-. Ex.8. desin a hebyshev BF ith rippe.db f=mhz fu=4mhz S==75 pf uh uh pf Ex MHz f f f u Frequeny response see p.8 Fi.8.6

16 8-. F to BSF transformation impedane impedane u u u

17 8-. Ex.8. desin a n= maximay fat BSF ith f=mhz fu=4mhz S==75 Frequeny response see p.4 Fi.8.4 pf uh pf uh Ex MHz f f f u

18 8. Miroave fiters Stepped impedane F Basis. Hih- and o- transmission ines 8-4

19 8-5 Disussion. Derivation tan sin os sin tan tan sin os sin sin os tan sin sin tan ] [ tan sin sin tan ] [ d d d d d Y Y d d d d Y

20 8-6. Desin proedure: seet proper h m at utoff frequeny o= hdh o/= /ddh d. Ex.8. Desin a -eement maximay fat F f=ghz s==5 h=5 m= rad d rad d d d m h m h..

21 F ith ommensurate stubs Basis. ihard s transformation tand = tan d/vp umped eements ommensurate ines ith S.. or O.. stub. = = tan = stub response repeats every

22 . Kuroda s identities U.E. unit eement : /8 ine 8-8

23 roof a iruited shunt stub - short iruited shunt stub open - os sin sin os Y Y

24 8-4 stub - iruited series short stub - iruited series open n n n n n n D B A D B A

25 Disussion. urpose of Kuroda s identities use /8 redundant ines to separate stubs. series stub shunt stub. Mirostrp F desin proedure series shunt ihard s transform /8 series short stub /8 shunt open stub add redundant /8 o ines Kuroda s identities /8 shunt open stubs. Ex.8. Desin a -eement maximay fat F ith f=ghz s==5 8-4

26 H #7due eeks

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