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Intro to filter design

Intro to filter design - o< as JL Hi 0c dB 0L — 00 P I...

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Unformatted text preview: o< as JL Hi) 0c, dB 0L —--) 00 P I I 0 1 Q Low-pass filter 0c, dB 0c ——> oo o :21 n 2 Q Bandpass filter FIGURES FOR CHAPTER 5 0c,dB (X->°° I l 0 1 Q High-pass filter 0L, dB ._._:]9 i ___8 0 £21 £22 Bandstop filter Figure 5-1 Four basic filter types. 9&4045 -'> @Am d8 ex a, 0.0 w-~--"> Gum) d8 ” ’ ATTgNUA I’loN /AJ 3, B ( S: = I No ATVa/UAWO/u oz 6AM!) ,! a». "" M (w! ==O A WOQMALIEED FEEQUSN04 4% (50¢ Cit-MHZ. FREQueNcY> 02 CUTDFF 62521 ogdB 0c,dB Ragtime “BAN D 0 . i 9 0 i ‘2 13111011111131 filter 5 'n Chebyshev filter — ‘P/Assa AN D Mow—roum) SLou) TWA ”dB: 0'9 /2 1 Wu: 0‘, FEM) COMPONENTS . 577:1? T/CALLSI non N —> (>0 ------------------ - ‘ H ANV/ COMPONENTS od—éw : £2 0 1 Elliptic filter - srmé’ST flux/“mom - Rippaes w 8077+ 'BAMDS - o< ~> Colt/{TAM (w/fllPPu?) ~CoMPLE—x 1353;ch Figure 5-2 Actual attenuation profile for three types of low-pass filters. 0c, dB 11/ a ’54) Rejection BVV3dB _-.s._flé$iff§fiffi:,::::‘?1::¢P:S:5:“d insertion/,7 loss 0 jam/f \1/ \Mm fde/fc 5% Figure 5-3 Generic attenuation profile for a bandpass filter. .//VxSE-RWOH LOSS mLt/E‘R. L055 ASEOCJAM U/m LUSERTWNQ 7717;“ Ram. Hum AN PF chew/77 xLfi'IO laj(/——//:/2) ' PIP/”Le“ - Pumas m: PAfiSBM/D 5’EC/F‘J’W67 ”WWW MAX/MUM AND MINIMUM AMPL/fl/oé m d8 . BANWMW " ”FR/90‘“? 35mg” UPPER AND Lemma 3d8 ("WP/mun) Amwunnou POM/7‘5 Bw(3db3 fl; 7C I 7C 35¢ H M; L ‘ 55“” PACER ' DEBCKIEFS mum/€35 0F Ham gamma 8v mic/Ala, £73770 OF éO <16 6w 4m.) 3d6 and C TVMCAOL V ) Eweoaa 5F 3 WM 803413 ‘KEJECrT/ON‘ 43/57, (9; UAW/Aura?) saw/us /,u A CEQDQ/N @5510 BMW KA/Uéaé‘ ___,_,_M_...__w__..____.____________________._______...____m.__ ””””” fi—WWW—WT Figure 5-4 Filter as a two-port network connected to an RF source and load. ................ (a) Low-pass filter with load resistance. (b) Network with input/output voltages To FWD €31 WE” CAN USE‘ ABCD PAM/METERS Cue/4mm: FDR W 4 ELEMENTS. [: :1 -- [5 fit; my): 3%; f] I. 7 + (A)+/9¢1><JwC+‘él:> Qa‘PRL. 0mm + A; " l L. Y; L : t -; ”L V, A / + (manta Rt) FM (A) ~> O --L : J"? : $13.5...“ a I as RL-Mx: A H» flag» pmk +ch 60900 XL :: ‘6’; a: O / i Attenuation, dB 106 107 108 109 1010 Frequency, Hz (a) Attenuation profile of the low-pass filter for various load resistances Phase, deg. 106 107 108 109 101° Frequency, Hz (b) Phase response of the low-pass filter for various load resistances i l+ 0tw((t,+e)c Figure 5-7 First-order low-pass filter response as a function of various load resistances. ._ (A :1 0V!” If“ HA1") “0”) —- “20 [0% HO») ¢(J 7L HEW FOR RLAOO __—: HO») 7; ~m_____._________________~_________m__.____________ _______ __.__T_l___.__....____.._+_ _____________ (a) High-pass filter with load resistance (b) Network and input/output voltages Figure 5-8 F lrst—order high-pass: filter. [:er llé—Lflllé— l +<R+Qc1>(de+pL) M®+R Cle r it I V; [L ’ ”4“.“me v47 " A l+<R+RG)(d:L+‘é:l mac) 7!: -> $1 0 R («J-3’50 J- : L- A RL+R+Re ,w._._V-__~-__w,..._._._.....__________________._.___.___..___.____ ______ ”fi‘l Attenuation, dB 106 107 108 10" 10‘0 Frequency, Hz (a) Attenuation profile of the filter for various load resistances 90 0 _ -~... 106 107 108 109 1010 Frequency, Hz ~> 0‘9 . . Q l. (b) Phase response of the filter for various load resrstances Figure 5-9 Low-pass filter response as a function of various load resistances. w_____________________________,_____.__.______w~___j_im \CQUAL/frt/ FACTa/Z fiEECR/WS gflLICWV/TV 0,5 A F/LTE‘R, . meo 0/? AVERAaé STORED E‘ngéy To gnaw Loss P612 CVCLE M Tm: (2530qu Fflé‘auww, WSTD -; £60 ,_ Q w W P4055 —— Ewmay L053 895$ 15 Fm A games Ru: 9~ ~— / H—JZW { Zs:/€S+%@LS~ZJZS w ,, / flaw/ANT ‘3 VIC, @906ch _-.K..,_,mm..mm-.__________fi.__..__.____.___mwi__m__TTw R 6641“, MT 5; o f “M can R a} 2 a V v,,,-— as: ——> R— I A2 (0L. , o :: ...———- 90 I : Bil; R5 VIN ¥ /M'/ R: VIN ” QV/M : , VIN ’ / _. —J——-——W _ w-ZR VIM ZS 30. J.“ /V"/' wCRS W AT A1,, I wL= MC (,QL. ._._. R , <32 a)" / a Q 0.» flf7 :: 7,000 fat/5 jO/7F @ M, I ' “359°: SL0: Va: 5190 : 250 ~90" 0W” vL:de_(sa°)= 250110" Van/L: O CAM wka LL (4)0‘ 251“ Rs C’ + Wilda,“ 23“» L - 0N ~39» £3.2— NORMAL)%E’D er'znuewcv DCV/AT) We a) 5 FROM ,Qgso/u/AUT POI/UT Bo.) DEEMED AS HALF- Pea/at rob/ms (3&3 Powers) flédw): I R50 +OLQ£> I: Y VIN VR= IRS w VR: YvI/v RS 1/3 x g { MN” n+&Q£ ) V“ W /v a m [DHEQE hoes J; I ‘n ‘ {4' Q2 /: _’_ 7 M f < 3 V)”; m 4 ‘ hm", Q: (Q2: : + 00o + __/’ 2. 2. {Joan-we wag3 03: — 7 p we (2' >+I 2 MEEA’I‘UE «Mae's __ 4. __~z ] “no O wo[ 2‘62 + )4" 80.): CUM!” (Um) L 2° (A) I .L ‘ ’ _L_\L 2.- PARALLEL CIRCUM- W Zip: __I_ pp .. I ’ _.L. 62‘ 1-91"— - w (L ,Q , (Jul—,9” / lo 2‘? ’ Pf, 236): 9’9 wé 71:75 W 19, 7” m2: ‘ (meg/ma “ ‘ 733’ GU, < Q q __ (00L, EXWMN. CA? (RE-#0 Rwo Q5: : ( Q5 Rama IMMLMBL<F1LTEQ> 6%,; ' @30)%3.¢O 8193,5928: / woL‘ ‘ ‘ (ALL. f< ' wac _.___._____...__.____..___._#._.~_____.___.___._-____..T_i_______________ _______ Table 5-1 Series and parallel resonators . ~ 1C . . 1L R F e " 1 (1) * 1 esonance l' uenc ’ ._..._... " “-— q y A/LC 0 ./LC (”R G = ._.____ = = __ = L _ woL __ 1 = (00C 1 RE : EXTEQNAL Rt: SlS’FhNCEJ ( [SCI/13% MAL QUAL 1N PAC—TBA @E : woL’ \ [QE—7éo R30 H R6 REUOC' IN‘TPfLNAL (Ham) alum (1"1 P1167732 : 0L ,. Figure 5-10 Bandpass filter implemented in series configuration. A8mlzcw|2l01|+7fié CD.:OIO\J€1‘ l—ZL Y}; ..L .. 2L. Va: A “ W W ‘‘‘‘ W“ - 26; +27: 45 k 100 40 80 60 35 40 g 30 w a" 20 § '§ 25 0 “a g % is) 20 —20 qr: —40 15 ~60 5 —100 107 108 10° 10‘° 10“ Frequency, Hz Figure 5-11 Bandpass filter response. g R ”Mm , SeYLIL—"S RLC. QB‘PLACEO / “(’7 L 2L» 8% Sew/or RLC #4 Y: 61 «LAM—3L) V2 21 ‘7" 1 l VG? ZL. + %(,, 1L /\{ Attenuation, dB 107 108 109 1010 Frequency, Hz (a) Magnitude of transfer function 30 20 10 Phase, deg. C -10 107 10 8 109 101° Frequency, Hz (b) Phase of transfer function Figure 5-12 Bandstop filter response. w._._.....flaw—W”..._.__.__..___—_.—-__.._.__.—____.._—_——..._.__._...._...__.....,._________.___...._..._____ 1011 1011 i J g : 7Q; 7" 7C - f0 —— I: : £ J, 7f; )C; +‘jC‘“7[; 1% : A41 " <) + T") _. (I 4, 95. “L If) _ 0 F0 J W 9; MM C; PD+A¥ * ”fa erAJC I}, 7% few)? --------------- \_ ‘‘‘‘‘‘‘ MET V £1110 244: H Xi (f + 4?ch #1:) W A (QLD: QL‘DE. LI," 7f QLD ‘ 7% {~ +131“) “M o ' K AG} 7? 7p: 2M—» 4 A? :40?" Q.» : w — ‘ O AQW 2 W W W ‘ 8 - 2A? D 7C” 11” “Sr (D :. 'FW [350 L_ “‘3 iAFfW 2 2A; ; ' “5 2M ((2442 J £2" 7pc * : 7% dx \EN 5?ng 2(R+2~e) 600 = ID a 1'“ {2} LOAD“) Q Be 1“ 7c 2 pain-8; aha comma * a £49 94 PE9AMCE ( LET B: (I: PnnAmm CJLT LOADED Q“: : 7Q 22 COMPLEX 2(6+6€) O, C? a? A FMW’L Cam 86 Mom: WSW 7n Mg>5>gum€ 71mm /MPGOIwLE 0a ADM IWAUCH PM Am 91. Mg m. Y: (Cat-.7 4""6“) it}: + a” QLD E] ZG . ._..._....._____._.__. (a) Matched transmission line system (b) inserted bandpass filter Figure 5-14 Insertion loss considerations. } F/ZOM (‘9 PL 3. 119mg Powefl FWD/K Sou/{CE BM 2. PL: PM): EL Fok Lassa—:55 L/A/é? 820 2 (P _ L I \/(,, Z L“ 2 2 E 0 ' : 220+ a” PIN (d) P 2. p / L IN (/+ ELQL:>Q7: I: _ fpgyzflo/u LOSS Ar Baomxmce 220 /L. :. -/O /09_ (/ - Qua QFB- RaouA'mrL Loss 63 I; - 2 1C : 5W3” A E 7C0 QLD WM Se; 2 H /v/F IL '3 QLD &: ’H j I, JEN—~21," Z: “J— N h— v 22/” + 22;, LF "L "5 j “I" 2&2» LF3~5 L055 ?ACTDK MWWWWWWWWWW 2e awzo szzm L=SOnH V: 6 5“ c>=0A7fF FWD ; LOADED ) UNLOADQ‘DJ WHINAL 61 PM )9L (0) gb pCDT It, ”520% 07: 7g: ,. AW S 2 20-;SOJL gang: 7%: film: [038 6% (9L? 3' COOL : 3.2.9 22¢ , ML : . QF ’ ‘32 «:2. R i (Q :- w°L »=:2 ?7 LD 4 - BW = 350 MHz Insertion loss, dB 39 LII b) ........... 0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2 1.25 Frequency, GHz [3 350 HHE _ 7! w ‘= ‘ ° 61‘. D Figure 5-15 Insertion loss versus frequency. 2 “oz/V91)» __ QZSMW 8 2° _ / / L ' /N W 7. L L L 1 p : </+ £- QLD>&E QLD /N a: (9:0 5/47Mk) Ho ...
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