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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    ECE 126

    Introduction to Analog Integrated Circuits Design

    Lab 2: Common Source Amplifer with

    Resistor Load and Source Degeneration

    Submitted by:

    Ceferino Kevin A. Tan

    BSECE 4

    Submitted to:

    rof. Allenn dela Cerna !o"aton

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    2/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step 1:

    *ollo"ing t+e circuit of ,gure 4.(& simulate t+e -in-outDC transfer curve as it "as obtained in ,gure 4.$ and

    t+e fre/uency res#onse as in ,gure 4.0.

    Relation o !inand !out

    C"DE

    ste#(a1tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout g gnd gnd nc+

    l5'.(u "5'.6u

    vdd vdd gnd (.v

    vin g gnd '.%v

    r( vout vdd ('7cload vout gnd ('#

    .o#

    .o#tion #ost #robe

    .dc vin ' $ '.'(

    .#robe v8vout9

    .end

    #"$ "utput

    subc7t

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    id 00.'$'u

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    vdsat (0.%$m

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    beta (.(%m

    gam e; 6.4%64m gm $4).$0)u

    %igure 1T+e -in-outgra#+ s+o"s +o" t+e out#ut voltage8ya

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    4/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %re&uenc' Response

    C"DE

    ste#(b1tan

    .lib 2C:3syno#sys3rf'(.l2 TT

    m( vout vin gnd gnd nc+ l5'.(u

    "5'.6u

    vdd vdd gnd (.v

    vin vin vg ac (

    vg vg gnd '.%

    r( vout vdd ('7

    cload vout gnd ('#

    .o#

    .#robe v8vout9

    .o#tion #ost #robe

    .#lot ac vdb8vout9

    .ac dec ('' (' ('g.meas ac >B "+en vdb8vout9 5 '

    .alter

    vg vg gnd '.4

    .alter

    vg vg gnd (

    .alter

    vg vg gnd (.)

    .end

    %igure 2T+e gainfre/uency res#onse gra#+. At t+e bias #oint -inDC5'.%-& t+e DC

    gain of t+e circuit is 0.$$(6 dB. *rom to# to bottom& t+e >ainBand"idt+s are:4.066(?@=&0.)(66?@=& A& A.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step 2:

    C+ange t+e value of in ,gure 4.( and simulate t+e resulting "aveforms of ,gure

    4.4& t+en list t+e results as in table 4.( and com#are t+em "it+ +and calculation

    results.

    C"DESte#$1tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout vin gnd gnd

    nc+ l5'.(u "5'.6u

    vdd vdd gnd (.v

    vin vin vg ac (

    vg vg gnd '.%

    r( vout vdd $'7

    cload vout gnd ('#

    .o#

    .#robe v8vout9

    .o#tion #ost #robe

    .#lot ac vdb8vout9

    .ac dec ('' (' ('g

    .meas ac >B "+en

    vdb8vout9 5 '

    .alter

    vg vg gnd .4r( vout vdd (7

    .alter

    vg vg gnd (

    r( vout vdd ($7

    .alter

    vg vg gnd (.)

    r( vout vdd 0'7

    .end

    #"$ "utput

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    7/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %igure (AC analysis "it+ di;erent values of (. otice t+at t+e curve for "+en

    -g5'.%v and 5$'7 no" +as t+e +ig+est gain& but #ractically still +as a smaller >.B.

    t+an for -g5(v and 5($7.

    (879 out879 -g8-9A 8>ain in

    dB90dB 8@=9 >.B. 8@=9

    $'70.40$(6

    4('.% ($.) (7 0.66$%?

    (7 A '.4 (4. A A

    ($7$.64%4

    40( %.$ (.4? 4.$'?

    0'7 A (.) $%. A A

    )able 1S+o"s t+e c+ange in gain and >B for "+en t+e resistance (and t+e in#ut

    voltage -gis varied.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    8/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    *and Calculations or step 2

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    9/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step (:

    *ollo"ing t+e circuit of ,gure 4.)& simulate t+e -in

    -outDC transfer curve as in ,gure 4.6 and t+e

    fre/uency res#onse as in ,gure 4.%.

    Relation o !inand !out

    C"DE

    ste#0a1tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout g vs vs nc+

    l5'.(u "5'.6u

    vdd vdd gnd (.v

    vin g gnd '.6v

    r( vout vdd ('7

    r$ vs gnd ('7

    cload vout gnd ('#

    .o#

    .o#tion #ost #robe

    .dc vin ' $ '.'(

    .#robe v8vout9

    .end

    #"$ Result

    subc7t

    element ':m(

    model ':nc+.($

    region Saturati

    id 6.'''u

    ibs (.)(e$(

    ibd 0.$'$%n

    vgs )0.$m

    vds (.6%

    vbs '.

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    vdsat %$.(04(m

    vod (.$'0m

    beta (.040m

    gam e; 6.460m

    gm '.440(u

    gds (.%4$)u

    gmb $).(6)u

    %igure +-in-outDC c+aracteristic curve for CS "it+ source degeneration. ote t+at

    "e +ave a muc+ smaller slo#e magnitude at t+e saturation region.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %re&uenc' Response

    C"DE

    ste#0b1tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout vg vs vs nc+

    l5'.(u

    "5'.6u

    vdd vdd gnd (.v

    vin vin gnd ac (

    vg vg vin '.%

    r( vout vdd ('7

    r$ vs gnd (7

    cload vout gnd ('#

    .o#

    .#robe v8vout9

    .o#tion #ost #robe

    .#lot ac vdb8vout9

    .ac dec ('' (' ('g

    .meas ac >B "+en

    vdb8vout9 5 '

    .end

    #"$ Result

    subc7t

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    id $6.%)6u

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    gb5 $.4'4'E'6

    %igure ,AC analysis of CS am#li,er "it+ source degeneration. lacing a source

    resistance of (7 +as resulted in a ne" DC gain of 4.(dB. Fur >.B. value8+ig+lig+ted

    above9 is given by $.4'4'?@=.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    11/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step +:

    C+ange t+e value of sin ,gure 4.) and simulate t+e resulting "aveforms of ,gure

    4.G list t+e results as in table 4.$. T+en& com#are t+em "it+ +and calculation

    results.

    C"DE

    Ste#41tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout vg vs vs nc+

    l5'.(u

    "5'.6u

    vdd vdd gnd (.vvin vin gnd ac (

    vg vg vin '.%

    r( vout vdd ('7

    r$ vs gnd )''

    cload vout gnd ('#

    .o#

    .#robe v8vout9

    .o#tion #ost #robe

    .#lot ac vdb8vout9

    .ac dec ('' (' ('g

    .meas ac >B "+en

    vdb8vout9 5 '

    .alter

    vg vg vin '.

    r$ vs gnd (.)7

    .alter

    vg vg vin '.6

    r$ vs gnd $7

    .end

    #"$ Results

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    12/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    cbtot (.4)60f cgs )%.'0%)a cgd $(6.'(a

    %igure 6AC analysis of a CS am#li,er "it+ source degeneration: -arying source

    resistance s. 8To# to bottom9 H 8-g&s9: 8'.%&)'' 9&8'.&()'' 9&8'.6&$'''9.

    $879 -g8-9 out879A 8>ain in

    dB90dB 8@=9 >.B. 8@=9

    '.) '.%).0'$60$

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    ).'$ (.6%? $.466%?

    $ '.6 ($.'$)(0$$ '.$)4 (.6$? '.0?

    )able 2s+o"s t+e variation of t+e gain& cuto; fre/uency& and >.B. "+en value of s

    is c+anged. T+e value of outis not c+anged even "it+ t+e addition of a source

    resistance s8+tt#:"+ites.sdsmt.educlassesee0$'notes0$'!ecture0$.#df9. See

    t+at t+e cuto; fre/uency does not c+ange even "+en t+e gain does.

    ou can see t+at +aving a source resistance "ill result in a very little di;erence in

    cuto; fre/uencies for all curves.

    Addition of a source resistance "ill result in a lo"ering of -gs"it+ res#ect to -i. Also&

    t+is "ill result in a lo"ering of t+e smallsignal voltage gain as can be seen in t+e ;:

    Av=gmRD

    1+gmRs

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Des#ite t+ese dra"bac7s& t+e source

    resistanceJs maor bene,t is t+at t+e small

    signal voltage gain "ill be made muc+ less

    de#endent on t+e ?FS*ET transconductance.

    ote t+at for CS "it+ S.D.& t+e out#utim#edance is given by t+e e/uations to t+e

    rig+t:

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    14/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    *and Calculations or step +

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    15/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step ,:

    C+ange t+e value of sin ,gure 4.)& and simulate t+e "aveforms of ,gure 4.(' to

    observe t+e relations+i# bet"een Idsand -in.

    C"DE

    ste#)1tan

    .lib 2C:3syno#sys3rf'(.l2

    TT

    m( vout vg vs vs nc+

    l5'.(u "5'.6u

    vdd vdd gnd (.v

    vin vin gnd ac (

    vg vg vin '.%

    r( vout vdd ('7

    r$ vs gnd )''

    cload vout gnd ('#

    .o#

    .o#tion #ost #robe

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    .#robe i(8m(9

    .alter

    r$ vs gnd (7

    .alter

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    .alter

    r$ vs gnd '7

    .end

    #"$ Results

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    16/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    vds

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    %igure -*rom to# to bottom are t+e curves for "+en t+e source resistance8in

    F+ms9 is '& )''& ('''& ()''.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    -ital e/uation >m5

    1

    ( 1gm )+Rs for a CS am#li,er "it+ source degeneration. T+us&"+en "e increase s& "e decrease t+e slo#e of our Ids-gsgra#+& "+ic+ im#lies t+at

    "e "ill #roduce a muc+ smaller out#ut current for a given in#ut DC voltage "+enour source resistance is increased. Since Av5>mD& Avis no" given by Av5

    RD

    ( 1gm )+Rs .

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

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    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step 6:

    *ollo"ing t+e am#li,er con,guration of ,gure

    4.((& t+e in#ut signal is an ideal sinusoidal "ave

    "it+ '.')v am#litude& and t+e fre/uency is

    (''7@=. erform t+e **T analysis to - into get t+efre/uency s#ectrum li7e ,gure 4.($

    C"DE

    ste#61tan

    .lib

    2C:3syno#sys3rf'

    (.l2 TT

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    vg vg vin '.%

    r( vout vdd ('7

    r$ vs gnd )''

    cload vout gnd

    ('#

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    #"$ Results

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    19/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %igure .*ast*ourier Transform of t+e -in. T+e result s+ould s+o" no +armonic

    com#onent e

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    20/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    Step -:

    erform t+e **T Analysis to -outin t+e circuit of ,gure 4.(( "+ile c+anging t+e value

    of sto get t+e fre/uency s#ectrum li7e in ,gure 4.(0(6. !ist t+e results of ,gure

    4.(0(6 li7e in table 4.0.

    C"DE

    Ste#%1tan

    .lib

    2C:3syno#sys3rf'

    (.l2 TT

    m( vout vg vs

    vs nc+ l5'.(u

    "5'.6u

    vdd vdd gnd (.

    vin vin gnd

    sin8' '.') (''7

    ' ' '9

    vg vg vin '.%

    r( vout vdd ('7

    r$ vs gnd '

    cload vout gnd

    ('#

    .o#

    .o#tion #ost

    #robe

    .tran 6$)n

    ('.$4m

    .;t v8vout9

    start5'

    sto#5('.$4m

    n#5(604

    .alter

    r$ vs gnd )''

    .alter

    r$ vs gnd (7

    .alter

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    .end

    #"$ Results

    subc7t Rs/0

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    element ':m(

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  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    21/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    region

    Saturati

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    $6.%)6u

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    $(6.64$$a

    %%) Anal'sis o !outwithout Rs

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    22/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %igure L+en s5'& t+e gain for t+e (st& $nd& and 0rd@armonics are $$.$'dB&

    )0.('dB& %).'dB.

    %%) Anal'sis o !outwith Rs/0#,

    %igure 10 L+en s5)''& t+e gain for t+e (st& $nd& and 0rd@armonics are $0.6'dB&

    )).('dB& '.'dB.

    %%) Anal'sis o !outwith Rs/1

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    23/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %igure 11L+en s5('''& t+e gain for t+e (st& $nd& and 0rd@armonics are $4.'dB&

    )6.%'dB& (.('dB.

    %%) Anal'sis o !outwith Rs/1#,

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    24/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %igure 12L+en s5()''& t+e gain for t+e (st& $nd& and 0rd@armonics are H$6.''dB&

    ).('dB& (.)'dB.

    s879 -inDC8-9 -inAC8-9 A8dB9 -out8dB9

    $nd

    @armonic

    8dB9

    0rd

    @armonic

    8dB9

    '

    '.% '.')

    %.$ $$.$' )0.(' %).'

    '.)'' 6.'( $0.6' )).(' '.'

    ( 4.' $4.' )6.%' (.('

    (.) 0.4 $6.'' ).(' (.)'

    )able (S+o"s +o" t+e gains for t+e (st& $nd& and 0rd+armonics c+ange "+en t+e

    value of sis c+anged. >enerally& increasing t+e svalue "ill result in t+e gains for

    t+e $nd

    and 0rd

    +armonics to a##roac+ some common value.

    34ES)5"S

    (. @o" to increase t+e gain of CS am#li,er "it+ resistive loadM E

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    25/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    ote t+at increasing t+e L! ratio increases t+e slo#e of t+e Ids-dsgra#+ of

    our n?FS 8as observed in t+e #revious lab activity9. T+erefore& "e increase

    gmalong "it+ it& conse/uently& "e get a muc+ +ig+er gain magnitude.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    26/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    $. e#lace sin ,gure 4.(( "it+ a diodeconnected n?FS. Nsing t+e ste#s "e

    follo"ed before& "+at is t+e DC gain of t+is circuitM

    %igure 1(T+e DC gain for t+e net"or7 "it+ a diodeconnected n?FS8of t+e

    same as#ect ratio as main n?FS9 is no" 0.%'dB.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    27/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    0. Nsing t+e con,guration of /uestion $& #erform t+e **T Analysis of -inand -out

    to get t+e fre/uency s#ectrum of t+ese "aves. L+at +a##ens to t+e circuit

    linearityM Is t+ere any di;erence "it+ ,gure 4.((M

    %%) o !in

    %igure 1+ote t+at for t+e **T of t+e in#ut voltage& "e see no signi,cant

    di;erence com#ared to t+e net"or7 "it+ source resistance instead of t+e

    diodeconnected n?FS in t+e source.

  • 7/25/2019 LabActivity2GGGGGGGGGAWDSAAAVEUSALL

    28/28

    Ceferino Kevin A. Tan BSECE 4 Se#tember $%& $'()

    %%) o !out

    %igure 1, ote t+at for t+e **T of t+e out#ut voltage -out& "e "e see no

    signi,cant di;erence com#ared to t+e net"or7 "it+ source resistance instead

    of t+e diodeconnected n?FS in t+e source.