using chaos to broaden the capture range of a phase

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    1

    VCO input voltage

    capture

    lockrange

    range

    PD outputcurrent

    Kvco

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    input

    freq

    VCO

    input

    voltage

    time

    time

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    PD output

    current

    VCO input voltage

    lockrange

    V V Ko R pd

    2

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    S & HVCO+

    R

    R

    R

    C

    S

    E

    v (t)E

    Rv (t)

    I (t)FB

    F(s)

    v(t)

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    .2 .3 .4 .5 .6 .7 .8 .9

    .2

    .6

    .8

    1.0

    1.2

    1.4

    1.6

    1.8

    2.0

    .4

    frequency ratio

    ratio

    1 1 1 1 1 1 1 1

    1 1 1 1 1 1 1 1

    C

    1

    1

    1

    1

    1

    1

    1

    C

    C

    C

    C

    C

    1

    1

    1

    C C C C C

    1 C C 1 1C

    11

    1 1 1 1 1 1

    1 1 1

    1 1

    1

    1

    C 2 C

    C 1 3 C

    1 C C C C

    C

    3

    C

    3

    3

    C13

    C

    C

    C

    amplitude

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