ECEN474/704: (Analog) VLSI Circuit Design Spring 2018

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1 EEN474/704: (Anal) LSI cut De S 08 Lectue 8: Fequency ene Sa Pale Anal & Mxed-Sal ente Texa A&M Unety

2 Annunceent & Aenda HW Due Ma 6 ead aza hate 3 & 6

3 Annunceent & Aenda n-suce A Fequency ene Oen-cut Te ntant (O) Bandwdth Etat Technque n-da A Fequency ene n-gate A Fequency ene acde A Fequency ene 3

4 n-suce Alfe: Lw Fequency ene 4

5 n-suce Alfe: Hh Fequency ene 5 0 ) ( : 0 : d d G whee Nde Nde Afte e aleba, we et the exact tanfe funct: d d d d d b a b a and whee Sall-Sal Mdel (Au G A nd)

6 n-suce A Fequency ene 6 and the tanfe funct can be axated a a le le yte Thu, Denat and fa aat F the cn cae when the tw le ae eal Exact Tanfe Funct : d d d a D b a d d A

7 Oen-cut Te ntant (O) Oen-ccut te cntant technque can be ued t etate bandwdth Much eae than de tanfe funct Accuate f yte wth ne dant le 7 - Ple Syte can be axated a A Dant and Hee... : Denat... All- Ple Tanfe Funct : a b a b b b b b a n n n n n n n n n et h n h b, Bandwdth

8 Oen-cut Te ntant (O) T cute te-cntant [Kalayan]. ute effecte etance k fac each kth caact wth all the ca en-ccuted. F the duct k = k k 3. Su all n en-ccut te cntant h, et n k k k 8

9 n-suce A w/ O Sall-Sal Mdel (Au G A nd) F 9

10 n-suce A w/ O Sall-Sal Mdel (Au G A nd) F d () () Plu () t () and l f d 0

11 n-suce A w/ O F Sall-Sal Mdel (Au G A nd)

12 n-suce A w/ O Sall-Sal Mdel (Au G A nd) what we deed Slde 6! Exactly the ae a,, Te ntant : 3 d et h d n d b b, 3 d d A

13 n-suce A w/ Lae Exale: U cn-uce utut tae a -tae OA A d d A wth d d Dant le fed by ut etance te tant and d whch ha been ultled by -A dc d (-A dc ) called the Mlle caactance 3

14 4 4 Mlle Thee If A the a f nde t, then a flat edance F can be cneted t tw unded edance and. F A F A / H Fequency ene whee huld be the ae bth ccut A A I I F F F F F F F F A I I huld be the ae bth ccut

15 Mlle Multlcat j F Equalent t an ut ca that A jf A jf A the al ultled by Fllw a la cedue, the utut ca the al F F A ultled by A Wth Mlle thee, we can eaate the flat caact. Hwee, the ut caact lae than the al flat caact. We call th Mlle ultlcat. 5

16 n-suce A w/ Lae 6 What abut the ecnd le? b a d Exact Tanfe Funct : d d d date, Au that the Mlle a, Denat d d d d d d d d b D

17 n-suce A w/ Sall Dant le fed by utut etance te utut caactance lu tant d 7 Exale: Suce-fllwe d the cn-uce a d d A wth d d A

18 n-suce A w/ Sall 8 What abut the ecnd le? b a d Exact Tanfe Funct : ) (wth lae d d d d d d d d d d d b D Denat

19 n-suce A Fequency ene Lae Sall A dc z d d d d d d d 9

20 n-suce A Inut Iedance [aza] Nelect Outut a: Inut edance uely caacte ( + Mlle d ) nde Outut a: Lw fequency caacte, but then edance exeence a ze fllwed by a ecnd le 0

21 TAMU-ELEN Je Sla-Matez Sall al analy: n-da (uce fllwe) alfe Sall al equalent ccut I D + GS _ M IA + M ut I D b b ut - 0 / / b - ut 0 ut b

22 n-da Alfe: Hh Fequency ene Slfy the cheatc a bt f SSA Ideal cuent uce lad and nelect tant and b (.e. ==0) Wll eult an ttc D a etate a [aza]

23 n-da Alfe: Hh Fequency ene a [aza] Nde a : G a S a d a 0 Afte e aleba: Nde : 0 a a L 3

24 n-da Alfe: Hh Fequency ene F th lfed tanfe funct: A S dc Exact GD A (Ottc) dc L z GS le, If we aue that they ae aced fa aat : S GD b L GS 4

25 n-da A Inut Iedance [aza] Lw Fequency: Equalent t a ee caacte te b b and ete te b Hh Fequency: See cbat f and and a neate etance te L - The neate etance te can be utlzed cllat de L ω 5

26 n-da A Outut Iedance Ple at ey hh fequency e at tentally lw fequency f S lae Iedance can ceae wth fequency,.e. dlay ducte beha 6

27 n-da A Outut Iedance 7 S S GS S S GS L f

28 Tanent Beha w/ Lae L Inducte utut edance cbat wth a lae lad caactance can ceate undeed the tanent ene If we hae a lae S and L, then the aut that we hae ne dant le n lne ald Bth le (tentally clex) huld be cndeed the analy 8

29 n-gate A Lw Fequency ene N S Wth S Nelect tant ut b D Hw t et f Ue alfe ut edance and ltae dde ut a a S ut a ut a en f left b b b b D S b t D S a? b f S S lae 9

30 n-gate A Fequency ene N ze N Mlle caact ultlcat Lw ut edance lt effectene a a ltae alfe Ueful a a cuent-t-ltae (tanedance) alfe 30

31 acde A Fequency ene If we acate the le wth the nde A, X, and Y Nte, th nly an axat, a t e teact caued by feedfwad ca ( d ) and et 3 le yte Inut Ple Intenal Ple Hh Fequency Outut Ple 3

32 acde A Outut Iedance Slfed Mdel Nelect ut whee X X GD and Outut Iedance Ple X ut Y X X 3

33 Next Te Dffeental Alfe 33

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