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1st-order loop: slew-rate limiting
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time (
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seconds)
05:32Jul 1998
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2486.0
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Summary of 1st-order loop
Lock range:
.
Jitter (peak to peak):
.
Maximum amplitude of phase modulation at frequency
before onset of slew-rate limiting:
If locked, then the duty cycle ,  must result  in the
average loop frequency being equal to the input
frequency
,
Phase detector average duty cycle , given by
(proportionalto
).
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Observations
Jittergeneration,Lockrange,andJittertoleranceareall
inconveniently controlled by one parameter,
.
Phase detector average duty-cycle is proportional to
frequency error.
Strategy: Use the average duty cycle to control loop
center frequency. This decouples the lock range from
jitter tolerance/generation giving  more design freedom.
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2nd-order BB loop
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---
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ò
Integral branch
Proportional (BB) branch
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2nd-order loop step response
t
update
pd output
BB frequency change
BB phase phase change
Integrator path frequency change
Integrator path phase change
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Stability Factorx
t
update
phase change from BB path
phase change from integral path
To quantify the relative independance of the two feedback
loops, take ratio of phase change from BB path to the
phase change of the integral path:
x
Dq
bb
Dq
int
-------------
bV
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v
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V
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( 2t)
----------------------------------
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------------------
=
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74
structural evolution of 2nd-order loop
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2nd-order loop: small step in F
time (mseconds)
2490.0
2487.0
0.0
40.0
4.0
5.0
6.0
7.0
0.0
-2.0
2.0
3
3
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2nd-order loop: large step in F
time (mseconds)
2500.0
2480.0
0.0
400.0
4.0
5.0
6.0
7.0
0.0
-2.0
2.0
F
in
F
int
q
bb
Dq
3
Dq
1
Vf
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77
2nd-order loop: phase jitter tracking
time (mseconds)
0.0
-100.0
100.0
0.0
-50.0
50.0
4.0
5.0
6.0
7.0
0.0
-2.0
2.0
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1
2
2
2
2
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