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665 Ring Oscillators

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    Amplifier A

    OSCILLATORS

    Fundamentals. Linear Aspects: Oscillation conditions.

    Frequency

    Selective

    Network

    o sx

    +

    +

    ox

    fx

    )s(A)s(1)s(A

    A1A

    x

    xA

    s

    of ===

    )s(L1)s(A)s(1)s(D ==

    1)j()j(A)j(L ooo == Barkhausen Criteria

    Note that for the circuit to oscillate at one frequency the oscillation

    criterion should be satisfied at one frequency only; otherwise the

    resulting waveform will not be a simple sinusoid.

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    Ring Oscillators The main difficulty for using submicron CMOS ring

    oscillators in wireless communication systems is theirrelatively poor phase noise response.

    Precaution is required to achieve as low phase noise aspossible from CMOS ring oscillators.

    Dominant noise sources in IC environment arecommon-mode signals in nature (e.g. power supplynoise, substrate-coupled noise).

    Fully differential design is a must!

    Courtesy of Fikret Dulger

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    Ring Oscillators

    ++-

    180

    H(j)

    (a)

    +++

    360

    H(j)

    (b)

    +++

    0

    H(j)

    (c)

    Various views of oscillatory feedback system.

    Vout

    CLM1

    RD

    VDD

    One-pole feedback Two-pole feedback system

    CLM1

    RD

    Vout

    CLM2

    RD

    VDD

    E F

    CLM1

    RD

    VoutCLM2

    RD

    VDD

    E F -1

    Ideal

    Two-pole feedback system plus an inverter

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    ( )3

    0

    3

    0

    1

    +

    =

    s

    AsH

    Three-stage ring oscillator

    VoutCLM3

    RD

    VDD

    G

    CLM1

    RD

    CLM2

    RD

    E F

    03 =osco

    60tan 1 =

    o

    osc

    ( )( ) ( )

    ( )( ) 3

    0

    3

    0

    3

    0

    3

    0

    3

    0

    3

    0

    3

    0

    1

    11

    1As

    A

    s

    As

    A

    sVsV

    in

    out

    ++ =

    ++

    +

    =

    1

    1

    32

    0

    3

    0 =

    + osc

    A

    20 =A

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    Modifications to the current-starved VCO to set minimum and maximum frequencies.

    R

    M5 M7VinVCO M1M8

    M2

    M3

    M4

    VDD

    M9M6

    VDD

    First stage of VCO

    Current starved VCO.

    M5VinVCO M1

    M2

    M3

    M4

    VDD

    M6

    VDD VDD VDD

    ID4

    ID4

    Osc out

    Single ended Inverters

    (delay elements)

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    (a)

    (b)

    + -

    - +

    X1

    Y1

    + -

    - +

    X2

    Y2

    + -

    - +

    X3

    Y3

    + -

    - +

    X4

    Y4

    (a) Five-stage single-ended ring oscillator, (b) four-stage differential ring oscillator

    XY

    VDD

    M1

    R1 R1

    M2

    ISS

    M3

    R1 R1

    M4

    ISS

    M5

    R1 R1

    M6

    ISS

    t

    VDDVX

    VY VDD + R1 ISS

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    Fully-Differential Ring Oscillator

    Vo1

    (in phase) Vo2

    (quadrature)

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    One potential delay element

    Vin-

    Vdd

    frequency

    controlIb

    Vbias

    Vbias

    Vout

    Vin+

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    Replica Biasing needed for the DelayElements

    Vref

    Vdd

    Vdd

    Vbias

    ( off-chip )

    ( to delay

    elements )

    frequency

    controlIb

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    Frequency Control Frequency of oscillation, ( fosc), is controlled through the

    bias current of a delay element ( Ib). Maximum peak-to-peak voltage, ( Vpp), is controlled

    through the replica biasing.

    Total output capacitance of a delay element, ( Cout

    ),directly affects the frequency of oscillation.

    outpp

    bosc

    CV

    If

    .

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    Chip Photomicrograph

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    Test Results

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    Source coupled voltage-controlled oscillators (also known as source coupled multivibrators).

    VinVCO

    VDD

    ID

    Output Output

    M6M5

    M1 M2

    M3 M4

    C

    VinVCO

    VDD

    Output Output

    M6M5

    M1 M2

    M3 M4

    C

    ID

    a) NMOS b) CMOS

    M1 (off) M2 (on)C

    ID IDID

    X Y

    Simplified schematic of source coupledoscillator, M1 is on and M2 is off.

    t t time

    Output

    Y

    X

    M2 onM1 off

    M1 onM2 off

    M2 onM1 off

    M1 onM2 off VDD-VTHN

    VDD-2VTHNVDD-VTHN

    VDD-2VTHN

    VDD-3VTHN

    Voltage waveforms for the NMOS source coupled VCO.

    Coupled Multivibrators


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