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Oscillators 1p

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    Oscillator Circuits

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    II. Oscillator Operation

    For self-sustaining oscillations:

    the feedback signal must positive

    the overall gain must be equal to one (unity gain)

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    If the feedback signal is not positive or the gain is less than one, then the oscillations will

    dampen out.

    If the overall gain is greater than one, then the oscillator will eventually saturate.

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    Types of Oscillator Circuits

    A. Phase-Shift Oscillator

    B. Wien Bridge Oscillator

    C. Tuned Oscillator Circuits

    D. Crystal Oscillators

    E. Unijunction Oscillator

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    A. Phase-Shift Oscillator

    Frequency of the oscillator: (the frequency where the phase shift is 180)

    Feedback gain = 1/[152 j (63) ] where = 1 / (2fRC)Feedback gain at the frequency of the oscillator = 1 / 29

    The amplifier must supply enough gain to compensate for losses. The overall gain must be

    unity. Thus the gain of the amplifier stage must be greater than 1/, i.e. A > 29

    The RC networks provide the necessary phase shift for a positive feedback. They also

    determine the frequency of oscillation.

    62

    10

    RCf=

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    Example of a Phase-Shift Oscillator

    FET Phase-Shift Oscillator

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    Example 1

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    BJT Phase-Shift Oscillator

    C

    Cfe

    R

    R

    R

    Rh 42923

    iehRR

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    Phase-shift oscillator using op-amp

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    B. Wien Bridge Oscillator

    So frequency of oscillation is 22110 21

    CRCRf=

    1

    1

    1

    1

    4

    3

    2

    143

    4

    21

    2

    ===

    R

    R

    Z

    ZRR

    R

    ZZ

    Z

    V

    VV

    V

    V

    a

    bd

    o

    i

    2and,2

    1

    thenandWhen

    4

    30

    2121

    =

    R

    R

    RC f

    CCCRRRfrequencynoscillatiotheatphasezerohaveshouldi.e.,,2

    1

    21

    2

    Z

    Z

    ZZ

    Z

    1

    2

    2

    1

    4

    30C

    C

    R

    R

    R

    R

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    Calculate the resonant frequency of the Wien bridge oscillator shown above

    Hz7.3120)101)(1051(2

    1

    2

    1930

    == RCf

    Example 2

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    C. Tuned Oscillator Circuits

    Tuned Oscillators use a parallel LC resonant circuit (LC tank) to provide the oscillations.

    There are two common types:

    Colpitts The resonant circuit is an inductor and two capacitors.

    Hartley The resonant circuit is a tapped inductor or two inductors and one

    capacitor.

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    Colpitts Tuned Oscillator Circuit

    FET based Colpitts Oscillator

    21

    21where,2

    10

    CC

    CCC

    LCf eq

    eq =Frequency of oscillations:

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    Transistor Colpitts oscillator.

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    Op-amp Colpitts oscillator.

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    Hartley Tuned Oscillator Circuit

    FET Hartley Oscillator

    1221 2where,2

    10 LLLL

    CLf eq

    eq

    Frequency of oscillations:

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    BJT based Hartley Oscillator

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    D. Crystal Oscillators

    The crystal appears to the rest of the circuit as a resonant circuit.

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    Crystal Resonant Frequencies

    The crystal has two resonant frequencies:

    Series resonant: RLC determine the resonant frequency. The crystal has a low impedance.Parallel resonant: RL and CM determine the resonant frequency. The crystal has a high

    impedance.

    The series and parallel resonant frequencies are very close, within 1% of each other.

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    Series Resonant Crystal Oscillator

    FET Crystal Oscillator

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    Parallel Resonant Crystal Oscillator

    BJT Crystal Oscillator

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    Crystal Oscillator using Op-amp

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    E. Unijunction Oscillator

    Frequency of oscillations:

    where = 0.4 to 0.6

    is a rating of the unijunction transistor.

    )(CRf TT = 11ln1

    0

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    Unijunction Oscillator Waveforms

    The unijunction oscillator (or relaxation oscillator) produces a sawtooth waveform.

    DBBBP

    BBBB

    VVVV

    VVV

    112

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    Unijunction transistor (UJT): basic construction.

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    UJT Unijunction Transistor

    The UJT is also basically a switching device.

    Schematic Symbol:

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    UJT Basic Operation

    Even though the UJT is a switching device it works very differently from the SCR variety

    of devices.

    The equivalent circuit indicates that the UJT is like a diode and a resistive voltage divider

    circuit. The resistance exhibited by RB1 is variable; it is dependent on the value of current

    IE.

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