topic 5 - cmos inverter

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    EE603 – CMOS IC DESIGN

    Topic 5 – CMOS Inverter 

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    Lesson Learning Outcome

    1) To explain the properties and performance of static

    CMOS Inverter 

    a. CMOS Voltage Transfer Characteristic (VTC)

     b. Sitching Thresholdc. !oise Margin

    d. "evice Variation

    e. S#ppl$ Voltage Scaling

    %) To explain the d$namic behavio#r of CMOS inverter 

    a. &arasitic Capacitances

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    Inverter Switch Modes

    'hen Vin is high and e#al to V"" the !MOS transistor is O! hile the

    &MOS is O**. + direct path exists beteen Vo#t  and the gro#nd node

    res#lting in a stead$,state val#e of -V.'hen the inp#t voltage is lo (- V) !MOS transistor is O** hile

    &MOS transistors in O!. + direct path exists beteen V""

     and Vo#t

    res#lting

    in a stead$,state val#e of V"".

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    CMOS !ro"erties

    1. The voltage sing is e#al to the s#ppl$ voltage , o#tp#t levelshigh e#al V  DD and o#tp#t levels lo e#al GND (*#ll rail,to,

    rail sing) ⇒ high noise margins

    %. The logic levels are not dependent #pon the relative device

    sies so that the transistors can be minim#m sie.

    /. 0o o#tp#t impedance (o#tp#t resistance in  Ω range) hich

    maes it less sensitive to noise and dist#rbances.

    2. 3xtremel$ high inp#t resistance (MOS transistor gate is a

    virt#all$ perfect ins#lator and dras no dc inp#t c#rrent.) ⇒ 

    large fan,o#t.

    4. !o direct path exists beteen the s#ppl$ and gro#nd rails #nder

    stead$,state operating conditions ⇒ no static poer

    dissipation.

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    NMOS # !MOS O"eration in CMOS

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    NMOS # !MOS I$% Curve

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    NMOS # !MOS I$% Curve

    Combining the VI characteristicsof the n-device and p-device

    I"Sp 5 ,I"SnV6Sn 5 Vin 7 V6Sp 5 Vin , V""

    V"Sn 5 Vo#t 7 V"Sp 5 Vo#t , V""

    *or a "C operating points to be valid the

    c#rrents thro#gh !MOS and &MOS

    devices m#st be e#al.The "C points are located at the

    intersection of corresponding load lines

    as mared ith dots on the graph.

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    CMOS Inverter %&C

    CMOS Inverter %&C is "roduced 'rom (oth

    NMOS and !MOS I% curve)

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    CMOS IN%E*&E*

    8 'hen designing static CMOS circ#its it is advisable

    to balance the driving strengths of the transistors b$

    maing the idth of the &MOS to or three timesthan the idth of !MOS in order to obtain

    s$mmetrical characteristics.

    8 The impact 9 to maximie the noise margins.

    :elative transistor siing for better performance

    of CMOS Inverter9

    For ideal symmetrical inverter required that9

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    CMOS IN%E*&E*

    VM  The sitching

    threshold is defined as the

     point here the

    intersection of the VTC

    c#rve and the line given b$Vo#t 5 Vin.

    The sitching threshold

    voltage presents the

    midpoint of the sitchingcharacteristics.

    + good inverter m#st

    have the val#e VM 5 V"";%

    (to have comparable highand lo noise mar ins .

    VM

    Vo#t 5 Vin

    Sitching Threshold

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    CMOS IN%E*&E* !oise Margin

    &+"ica inverter trans'er characteristics

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    CMOS IN%E*&E*

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    CMOS IN%E*&E*

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    CMOS IN%E*&E*

    Effect of Transistor Size on VTC

    3ffect on sitching threshold9

      VM5 V"";% exactl$ in the middle.

    3ffect on noise margin9

    VI= and VI0 both are close to VM and

    noise margin is good.

    If 9

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    CMOS IN%E*&E*Im"act o' device variation on %&C Curve

     The ?good@ transistor has9

     smaller oxide thicness

    smaller length

    higher idth

     smaller threshold voltage

    The ?bad@ transistor has9

    larger oxide thicness

    larger length

    loer idth

    larger threshold voltage

    Conclusion:

    The variations ca#se a small shift

    in the sitching threshold b#t that

    the operation of the gate is not

    affected.

    &rocess variations (mostl$) ca#se ashift in the sitching threshold.

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    CMOS IN%E*&E*

    Im"act o' device variation on %&C Curve

     :es#lt from changing (';0) p ; (';0)n ratio9

    , Inverter threshold VM ≠ V"";%

    ,  :ise and fall dela$s are #ne#al,  !oise margins are not e#al

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    CMOS IN%E*&E*Impact of s#ppl$ voltage scaling

    8 The inverter characteristic can still

     be obtained altho#gh the s#ppl$

    voltage is small (not even large

    eno#gh to t#rn the transistors on.)

    8 =o does this happenA  

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    Impact of S#ppl$ Voltage Scaling

    8 +t aro#nd 1-- mV the gate

    characteristic ill deteriorate.

    8 VO0 and VO= are no longer at the

    s#ppl$ rails and the transition,

    region gain approaches 1.

    8 + digital circ#it m#st achieve

    s#fficient gain to operate. So it

    is necessar$ that the s#ppl$ m#st

     be at least a fe times the

    thermal voltage.

    8  

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    CMOS Inverter - D+namic .ehaviour

    &he Switch Mode o' D+namic CMOS Inverter 

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    CMOS Inverter - D+namic .ehaviour

    &arasitic Capacitances of CMOS inverter 

    &arasitic capacitances infl#encing the transient behavio#r of

    the cascaded inverter pair.

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    CMOS Inverter - D+namic .ehaviour

    &arasitic Capacitances B Miller 3ffect

    The Miller effect + capacitor that has identical b#t opposite

    voltage sings at both its terminals can be replaced b$ a capacitor

    to gro#nd hose val#e is to times the original val#e.

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    CMOS Inverter - D+namic .ehaviour

    So#rces of parasitic capacitance9i. Intrinsic MOS transistor capacitances

    ii.3xtrinsic MOS transistor (fan,o#t) capacitances

    iii.'iring (interconnect) capacitance

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    Sources o' !arasitic Ca"acitances

    , MOS Intrinsic Capacitances

      Structure ca"acitances

     

    Channe ca"acitances  Di''usion ca"acitances

    I t i i C it

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    Intrinsic Capacitances

    MOS Structure Capacitance

    Overlap Capacitance (linear)9

    C6SO 5 C6"O 5 Cox xd '0 5 Co '0"

    I t i i C it

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    Intrinsic Capacitances

    Overlap Capacitance

    In realit$ the gate overlaps

    so#rce and drain.So the parasitic overlap

    capacitances9

    C6S(overlap) 5 Cox ' 0"C6"(overlap) 5 Cox ' 0"

    I t i i C it

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    Intrinsic Capacitances

    MOS Channel Capacitances,   The gate,to,channel capacitance depends #pon the

    8 operating region and the terminal voltages

    I t i i C it

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    Intrinsic Capacitances

    MOS Channel Capacitances  +verage Channel Capacitance

    I t i i C it

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    Intrinsic Capacitances

    MOS Diffusion Capacitances,   The D#nction (or diff#sion) capacitance is from the

    reverse biased so#rce,bod$ and drain,bod$ p,n

     D#nctions.

    I t i i C it

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    Intrinsic Capacitances

    Source Junction View 

    E t i i C it

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    Extrinsic Capacitance

    Extrinsic (Fan-out) Capacitance  The extrinsic or fano#t capacitance is the total gate

    capacitance of the loading &MOS and !MOS transistors.

      Cfano#t  5 Cgate (!MOS) E Cgate (&MOS)

      5 (C6SOn E C6"On E 'n0nCox) E

      (C6SOp E C6"Op E ' p0 pCox)

      Simplification of the act#al sit#ation

    8  +ss#mes all the components of Cgate are beteen Vo#t and  6!" (or V"")

    8  +ss#mes the channel capacitances of the loading gates are

      constant

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    MOS Ca"acitance Mode

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    Summar+1. 'hen designing static CMOS circ#its the idth of &MOS

    m#st be made two or three times than the idth of !MOS

    in order to obtain s$mmetrical sitching threshold VM and

    noise margin.

    %. The variations of !MOS and &MOS in CMOS ca#se a small

    shift in the sitching threshold b#t that the operation of thegate is not affected.

    /. The inverter characteristic can still be obtained altho#gh the

    s#ppl$ voltage is scaled don as long as the minim#m

    s#ppl$ voltage is higher than thermal voltage2. &arasitic capacitances sloer the sitching speeds

      5F

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    !ast /ears uestions

    1. a) Setch a complete CMOS inverter circ#it diagram.

    (% mars)

    %. 3xplain the CMOS inverter  operation.

    (% mars)

    /.

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