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SP8858IGHCAR Datasheet(PDF) 11 Page - Mitel Networks Corporation

Part # SP8858IGHCAR
Description  1쨌5GHz Professional Synthesiser
Download  17 Pages
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Manufacturer  MITEL [Mitel Networks Corporation]
Direct Link  http://www.mitel.com
Logo MITEL - Mitel Networks Corporation

SP8858IGHCAR Datasheet(HTML) 11 Page - Mitel Networks Corporation

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11
SP8858
The selection of C1 and R1 is often approached by using
the standard representation for the second order characteristic
equation: s212
zvn1vn2 and selecting the natural-loop
frequency and the damping factor
z to give the desired
response. The time constants are calculated using:
2
zvn = t1K/C1 and vn2 = K/C1 so that
C1 = K/
vn2 and R1 = 2zvn/K
Alternatively, the loop filter and formula shown in Fig. 10b
can be used to introduce a pole in F(s) at 21/
t2 which will
provide additional roll-off in the closed loop transfer
characteristic in order to attenuate the reference sidebands.
The closed loop transfer function becomes:
higher order loops to use CAD tools to assess stability.
Popular analysis tools taken from control theory, such as root
locus and Bode diagrams, are useful to aid the design of the
closed loop PLL system. AN194 describes these tools in more
detail and introduces a loop filter design methodolgy aimed at
optimising the phase noise performance.
Loop filter design example
Use the demonstration board to generate a 1GHz signal
with a resolution of 500kHz (N = 5000) and reference oscillator
frequency of 40MHz. Set natural loop frequency,
vn, to
2
p3104 rad/s and damping factor to 0·7. The MQE001-1016
VCO gain, KVCO, is nominally 25MHz/V. Set the phase detector
output current to 2mA so that KPD = 2310
2
3/2p A/rad.
Using the above formula, calculate the loop filter R and Cs.
K = 2
p32531063231023/2p35000 = 10
C1 = 10/(2
p3104)32
≈ 2·531029
R1 = 230·732p3104/10
≈ 8796
C2 = C1/10
≈ 0·2531029
Realise the loop filter with C1 = 2·2nF, C2 = 220pF and
R1 = 8·2k
Ω. The single sideband phase noise specturm for
this example is shown in Fig. 11.
+
C1
R1
C2
Ii(s)
Vo (s)
Vo (s) / Ii(s) = [s(t11t2)11]/sC1(st211)
where
t1 = C1R1 and t2 = C2R1
+
C1
R1
Ii(s)
Vo (s)
Vo (s) / Ii(s) = [s(t111]/sC1
where t1 = C1R1
Fig. 10a
Fig. 10b
Fig. 10 Loop filters
0
2
10
2
20
2
30
2
40
2
50
2
60
2
70
2
80
2
90
2
100
2
110
2
120
2
130
2
140
2
150
2
160
2
170
10Hz
100Hz
1kHz
10kHz
100kHz
FREQUENCY
Fig. 11
Care must be taken when choosing C2 to ensure that the
additional pole does not unduly affect the stability margins of
the loop. In practice, a simple and useful rule of thumb is to set
the desired second order response as above and then set C2
to be 1/10 of C1. It is advisable when designing third order or
[s(
t11t2)11]KVCOKPD
[C1
t2s31C1s21K(t11t2)s1K]
fo(s)
fi(s)
=


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