chebyshev filter design

7/25/2019 Chebyshev filter Design

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Presented By

Mr. Amit ChoudharyAsst. Prof.

At

National Conference on

EMERGING TREND IN MOBIE COMM!NICATION"ETMC#$%&'(

A)A* +!MAR GARG ENGINEERING COEGEG,A-IABD

1

SIMULATION AND ANALYSIS OFSIMULATION AND ANALYSIS OF

RECONFIGURABLE gRECONFIGURABLE gmm-C LADDER BASE-BAND-C LADDER BASE-BAND

FILTER USING TUNABLE OTAFILTER USING TUNABLE OTA


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CONTENTS

Objective

Int!"#cti!n

OTA B$%e" gm-C &i'te

OTA B$%e" gm-C L$""e &i'te

T#n$b'e OTA

T#n$b'e OTA (it) C$%c!"e C#ent Mi!%

*t)O"e C)eb+%)ev L,F &! LAN

C!nc'#%i!n

2


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OB.ECTI/E0

T! "e%ign $n" %im#'$te

A T#n$b'e O1e$ti!n$' T$n%c!n"#ct$nce Am1'i&ie 2OTA3

(it) c$%c!"e c#ent mi!%

A ec!n&ig#$b'e gm-C '$""e b$%e-b$n" &i'te &! LAN

C#t!&& &e4#enc+ 2&13 056788 M9:

St!1 b$n" &e4#enc+2 &%3 0 ;


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INTRODUCTION

A &i'te i% $n e'ectic cic#it ()ic) 1$%%e% %ign$'% ()!%e &e4#enc+

%1ect#m 'ie% (it)in $ %1eci&ie" $nge> $n" %t!1 !#t%i"e %ign$'%

T)e b$n"(i"t) !& $ LAN T$n%ceive %+%tem 2IEEE ?


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OTA BASED GM-C FILTER0

OTA ased /m#C&i'te% $e c!m1!%e" !& e%i%t!%> c$1$cit!% $n" OTA

OTA %t$n"% &! O0erational Transconductance Am0lifier7 An O1e$ti!n$'

T$n%c!n"#ct$nce Am1'i&ie 2OTA3 i% $ "#$' in1#t v!'t$ge c!nt!''e" c#ent

S!#ce 2/CCS37 It i% $ n"$ment$' b#i'"ing b'!c !& gm-C &i'te%

Fig#e ;0 OTA

OTA t$n%c!n"#ct$nce gmI!#t@ /i" c$n 'ine$'+ be t#ne" b+ e=ten$' DC

bi$% c#ent IB7


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OTA BASED GM-C FILTER CONTD7

/m#c &i'te% $e %#ite" &! )ig) c#t!&& &e4#enc+ &i'teing $11'ic$ti!n% "#e t!

)ig) b$n"(i"t) !& OTA

Fi%t !"e OTA-C &i'te0

C#t!&& &e4#enc+ !& &i'te0 253

OTA-C &i'te% $e ec!n&ig#$b'e $g$in%t envi!nment$' ! 1!ce%%ing

v$i$ti!n% $% it% t$n%c!n"#ct$nce c$n be t#ne" b+ e=ten$' DC bi$% c#ent

2IB36

Fig7 50 2$3 Fi%t O"e OTA-C &i'te 2b3 M$gnit#"e e%1!n%e !& &i'te


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OTA BASED GM-C LADDER FILTERS0

S+nt)e%i:e LCR '$""e net(! b$%e" !n given &i'te %1eci&ic$ti!n%

Re1'$ce in"#ct!% $n" e%i%t!% b+ t)ei e4#iv$'ent OTA cic#it%

LCR ladder filters are less sensitive to component tolerances [2]

Fig7 ; 0 2$3 A t)i" !"e LCR '$""e &i'te 2b3 Im1'ement$ti!n !& e%i%t! #%ing OTA 2c3 Im1'ement$ti!n !& in"#ct!#%ing OTA

7


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INTRINSIC NONLINEARITY OF OTA

T! t#ne &i'te c#t!&& 2&-"B3 $g$in%t $n+ tem1e$t#e ! 1!ce%%ing v$i$ti!n%>

OTA -gmm#%t )$ve 'ine$ e'$ti!n%)i1 (it) e=ten$' DC bi$% c#ent IB7

T+1ic$''+ OTA in1#t "i&&eenti$' 1$i ()ic) )$% n!n'ine$ e'$ti!n%)i1

bet(een gm $n" e=ten$' DC bi$% c#ent IB7

Fig7 0 CMOS B$'$nce" OTA

2;3


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TUNABLE OTA T#n$b'e OTA cic#it i% im1'emente" #%ing t(! c$%c$"e" B$'$nce" OTA

t)!#g) $n $ctive e%i%t!

Fig7 H0 T#n$b'e OTA

T)e t$n%c!n"#ct$nce 2gm3

9

23


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TUNABLE OTA CONTD7 T#n$b'e OTA cic#it i% im1'emente" #%ing t(! c$%c$"e" B$'$nce" OTA


Fig7 H0 T#n$b'e OTA


10

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Fig7 H0 T#n$b'e OTA


11

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Fig7 H0 T#n$b'e OTA


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Fig7 H0 T#n$b'e OTA

T)e t$n%c!n"#ct$nce 2gm3 "e1en"% !n t$i' bi$% c#ent 2IB 3 'ine$'+

132H3


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TUNABLE OTA IT9 CASCODE CURRENT MIRRORS

B+ e1'$cing %im1'e c#ent mi!% b+ c$%c!"e c#ent mi!%

In case of simple current mirrors, channel length modulation effect

results in significant error in copying currents.C)$nne' 'engt) m!"#'$ti!ne&&ect i% e=c'#"e" b+ #%ing c$%c!"e c#ent mi!%7

O#t1#t e%i%t$nce $n" t)e g$in !& t)e m!"i&ie" OTA get en)$nce"

M!"i&ie" OTA c!n%#me '!(e 1!(e

Fig7 *0 T#n$b'e OTA (it) C$%c!"e C#ent Mi!%

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TUNABLE OTA IT9 CASCODE CURRENT MIRRORS

CONTD7

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Fig7 0 Sc)em$tic "i$g$m !& Bi$%ing cic#it%

T$b'e 50 T$n%i%t!% A%1ect $ti!% !& T#n$b'e OTA

(it) C$%c!"e C#ent Mi!%


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SIMULATION RESULTS OF TUNABLE OTA IT9

CASCODE CURRENT MIRRORS O0en oo0 1re2uency Res0onse3

4dd

56 &.748 IB

5 &mA

DC g$in0 H< "B> -"B B0


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CASCODE CURRENT MIRRORS CONTD7o9le: Rate "9R( 3

Fig7 ?0 SR me$%#ement Fig7 60 O#t1#t v!'t$ge ($ve&!m !& SR me$%#ement %et#1

%et#1 *

Ri%ing S'e( R$te i%


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CASCODE CURRENT MIRRORS CONTD7oRout3

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Fig7 5< DC %(ee1 %im#'$ti!n Re%#'t% !& ,!1!%e"

OTA &! R!#t me$%#ement

U%ing /TC c#ve% !& OTA

(it) $n" (it) !#t '!$"> O#t1#t

im1e"$nce !& OTA c$n be

&!#n" #%ing &!''!(ing

e4#$ti!n *

/!5 $n" /!; $e !#t1#t

v!'t$ge% !& OTA (it) $n"

(it) !#t '!$"% $t %$me in1#tv!'t$ge

R!#t ;H7?H J

2*3


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CASCODE CURRENT MIRRORS CONTD7 Transconductance "/m(3

Fig7 550 gmme$%#ement Fig7 5; gm%im#'$ti!n0 O#t1#t c#ent /% In1#t "i&&eenti$' v!'t$ge

%et#1 *

Transconductance is calculated by measuring slope of graph at origin.

At 1mA bias current, gmof proposed OTA was found to be 4.2 mS.19


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CASCODE CURRENT MIRRORS CONTD7T$b'e ; 0 C!m1$i%!n !& "i&&eent 1!1etie% !& T#n$b'e OTA $n" T#n$b'e OTA (it) c$%c!"e c#ent mi!%

20

,!1et+

Re%#'t% !& t)e (!

"!ne b+

T#n$b'e OTA

(it) c$%c!"ec#ent

mi!%

,!(e %#11'+ 57* v 57* /

Bi$% c#ent ; mA 5 mA

,!(e c!n%#m1ti!n 5; m 6 mDC G$in 57566 "B H< "B

R!#t -- ;H7?H J

CMRR * "B ?*76; "B

K,SRR -- 85785"B

-,SRR -- 857;5"BGB ;7*?H G9:


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*T9ORDER C9EBYS9E/ L,F FOR LAN

9ynthesis of RC adder Net:or; of 7th Order Cheyshe< 1ilter 3

Fig7 5 0 *t)O"e RLC '$""e &i'te (it) b$nc) c#ent% $n" n!"e v!'t$ge%

T$b'e 0 S+nt)e%i% !& RLC L$""e Net(! !& *t) O"e C)eb+%)ev Fi'te

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Normalized Filter element values

(fp= 1/2 Hz and R1, RL= 1 )

[16]

Filter element element values

(fp= 19.77MHz andR1, RL=1/gm= 235 )

L= LN

/(2 fp

gm

) and C= (CN

gm

)/ (2fp

)

CN5 ;75H6 F C5 876 1F

LN; 57


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*T9ORDER C9EBYS9E/ FILTER CONTD7 Acti3 Cic#it %t$te e4#$ti!n% 0

Fig7 5H0 E4#iv$'ent *t)O"e OTA-C &i'te

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Active OTA b$%e" gm-C &i'te cic#it (it) bi$%ing cic#it0

*t)O"e C)eb+%)ev Fi'te C!nt"7

Fig7 5*0 Active OTA b$%e" gm-C &i'te cic#it (it) bi$%ing cic#it

SIMULATION RESULTS OF *T9 ORDER C9EBYS9E/


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SIMULATION RESULTS OF *T9ORDER C9EBYS9E/

FILTER 1re2uency res0onse of 7thorder Cheyshe< filter3"c g$in0 - "B> 1$%%b$n" i11'e%2 Am$=30 57


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SIMULATION RESULTS OF FILTER CONTD7 1ilter ,D' analysis at ?%,@ %.?400 in0ut si/nal3 " !"e )$m!nic

"i%t!ti!n i% -H?"B (it) $n in1#t !& H


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SIMULATION RESULTS OF FILTER CONTD7

Tunin/ the Cutoff 1re2uency :ith OTA ias Tail current "IB(3 T)e

c#t!&& &e4#enc+ !& t)e &i'te c$n be t#ne" &!m 57 M9: t! ;


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SUMMARY OF *T9ORDER C9EBYS9E/ FILTER

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M$in Fi&t) O"e C)eb+%)ev Fi'te

Sim#'$te" #%ing


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CONCLUSION AND FUTURE OR

An OTA b$%e" gm-C '$""e b$%eb$n" &i'te (it) t#n$b'e c#t!&& )$% been

%im#'$te" t! meet t)e e4#iement !& LAN7 T)e c#t-!&& &e4#enc+ !& t)e &i'te

i% 56788M9: $n" it $"!1t% &i&t) !"e c)eb+%)ev-I e%1!n%e7

F! $ctive im1'ement$ti!n !& t)e &i'te $ T#n$b'e OTA (it) c$%c!"e c#ent

mi! )$% been %im#'$te"7 B+ #%ing c$%c!"e c#ent mi!%> g$in !& t)e OTA

)$% been ince$%e"7 A'%! t)e 1!(e c!n%#m1ti!n !& t)e OTA i% e"#ce"7

Tem1e$t#e In"e1en"ent bi$%ing cic#it (it) &ee"b$c c!nt!' mec)$ni%m c$n

be im1'emente" &! tem1e$t#e c!m1en%$ti!n.

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LPF for Draft IEEE802.11n with Automatic Quality- Factor Tuning Scheme IEEE J. Solid-State Circuits, vol. 42,no. 11, Nov. 2007

[2] Sherwin Paul R. Almazan, Maria Theresa G. de Leon, A 3rd Order Butterworth Gm-C Filter for WiMAX Receiversin a 90 nm CMOS Process, 2010, 12th International Conference on Computer Modeling and Simulation.

[3] S. Lee, and C. Cheng, Systematic Design and Modeling of an OTA-C Filter for Portable ECG Detection, IEEETransactions on Biomedical Circuits and Systems, 2009.

[4] Jirayuth Mahattanakul and Jamron Chutichatuporn, Design Procedure for Two Stage CMOS Op-Amps with NoisePower Balancing Scheme IEEE transaction on circuits and systems-I: Regular paper, Vol. 52, No. 8, pp. 1508-1514,August 2005.

[5] E. P. Allen, R. D. Holberg, CMOS analog circuit design, Oxford University Press London, Second Edition, 2003.

[6] Anup Mane, Deepa Yagain, A High CMRR, High Slew Rate, Low Total Harmonic Distortion CMOS OTA for HFApplications, IEEE, International Conference on Emerging Trends in Engineering and Technology, ICETET-09

[7] Govind Dryanani, Principles of Active Network Synthesis & Design, Wiley.

[8] Darwin Cheung, Klaas Bulty and Aaron Buchwaldy, 10-MHz 60-dB Dynamic- Range 4th-Order ButterworthLowpass Filter, IEEE press.

[9] Y. Tsividis and S. C. Fang "MOS Transconductors and integrator with high linearity." Electron. Lett. Vol. 22 pp245-246, 1986

[10] Z. Czarnul, Y. Tsividis and S. C. Fang, MOS Transconductors and Integrator with high linearity, Electron. Lett.Vol. 22, pp 245-246, 1986.

[11] Z. Wang and W. Guggenbuhl, A Voltage-Controllable Linear MOS Transconductor Using Bias Offset Technique,IEEE, Log Number 8932695, 1989.

[12] R. Sarpeshkar, R. F. Lyon, and C. A. Mead, A low-power wide linear range transconductance amplifier, Analog

Integrated Circuits Signal Processing, vol. 13, pp. 123-151, 1997. [13] Moon Jae Jeong, Shigetaka Takagi, Zdzislaw Czarnul, Nobuo Fujii, Design of a noval linear 3-input CMOS OTA

and its application to Filter Realization, IEEE, 0-7803-3702-6/96/$5.00, 1996.

[14] Behzad Razavi, Design of Analog CMOS Integrated Circuits, Edition 2002.

[15] P. Zhang, T. Nguyen, C. Lam, D. Gambetta, T. Soorapanth, B. Cheng, S. Hart, I. Sever, T. Bourdi, A. Tham, B.Razavi, "A direct-conversion CMOS transceiver for IEEE 802.11a WLANs," ISSCC Dig. Tech. Papers,pp. 354-355,Feb. 2003.

[16] Jon B. Hagen, Radio-Frequency Electronics, Cambridge University Press Cambridge, Second Edition, 2009.

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chebyshev filter design

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