dp83241 National Semiconductor Corporation, dp83241 Datasheet - Page 10

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dp83241

Manufacturer Part Number
dp83241
Description
Cdd Device Fddi Clock Distribution Device
Manufacturer
National Semiconductor Corporation
Datasheet
Loop Filter Calculations
Several constants need to be known in order to determine
the loop filter components They are the loop divide ratio N
the phase detector gain K
bandwidth W
and K
Grad V respectively N is equal to the VCO frequency divid-
ed by the reference frequency w
less than 1 20th of the reference frequency (times 2
rads) Having found all these constants the following equa-
tions are used to find the component values
For w
For a phase margin other than 57
The component equations above are not meant to provide
optimal solutions for all implementations
R
C
C
R
C
C
1
1
2
1
1
2
e
e
e
e
e
e
o
e
(1 1 N w
(3 K
(0 3 K
(Cosec w
(Tan w) ((2 K
(Sec w
for the DP83241 are fixed at 80 mA rad and 0 8
57 phase margin
p
o
K
p
o
b
K
and the phase margin w The constants K
o
) (N w
o
) (K
( (N w
a
Tan w) ((K
1) ((N w
p
p
K
o
K
2
o
o
o
)
) (N w
)
2
)
p
p
o
K
the VCO gain K
2 K
o
o
2
))
(N w
o
p
K
is recommended to be
o
))
o
2
))
o
the loop
q
p
10
Let us now design an example system with the following
characteristics
Since the VCO is twenty times the frequency of the refer-
ence frequency we get N
of the reference frequency or 2 62 x 10
From these values we get
Let us now design an example system with the following
characteristics
We will set w
1 0 x 10
From these values we get




12 5 MHz Crystal reference
250 MHz VCO
12 5 MHz Crystal reference
250 MHz External VCO with a gain of 40 MRad V
C
C
1
6
1
e
Rad
e
1400 pF C
470 pF C
o
to be 1 78th of the reference frequency or
2
2
e
e
e
47 pF and R
140 pF and R
20 We will set w
6
1
TL F 10385 – 27
Rad
e
1
e
6 8 kX
o
to be 1 30th
900X

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