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SP8854EIGHCAR Datasheet(PDF) 11 Page - Mitel Networks Corporation

Part # SP8854EIGHCAR
Description  2쨌7GHz Parallel Load Professional Synthesiser
Download  13 Pages
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Manufacturer  MITEL [Mitel Networks Corporation]
Direct Link  http://www.mitel.com
Logo MITEL - Mitel Networks Corporation

SP8854EIGHCAR Datasheet(HTML) 11 Page - Mitel Networks Corporation

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11
SP8854E
Fig. 8 Third order loop filter circuit diagram
Loop Filter Design
Generally, the third order filter configuration shown in Fig. 8
gives better results than the more commonly used second order
because the reference sidebands are reduced. Three equations
are required to determine values for the three constants, where
The equations are:
t
1 = C1R1
t
2 = R2 (C11C2)
t
3 = C2R2
…(2)
…(3)
…(1)
t
2 =
1
vn2t3
2
2
tan F0 1
t
3 =
vn
t
1 =
KfK0
vn2N
11
vn
2 t
2
2
11
vn
2 t
3
2
1
2
1
cos F0
where
Kf is the phase detector gain factor in mA/radian
K0 is the VCO gain factor in radians/seconds/V
N is the division ratio from VCO to reference frequency
vn is the natural loop frequency
F0 is the phase margin, normally set to 45°
Since the phase detector used is linear over a range of 2
p
radians, the phase detector gain is given by:
These values can now be substituted in equation (1) to obtain
a value for
C1 and in equations (2) and (3) to determine values
for
C2 and R2.
Example
Calculate values for a loop with the following parameters:
Frequency to be synthesised
1000MHz
Reference frequency
10MHz
Division ratio
1000MHz/100MHz = 100
K0 VCO gain factor
2p310MHz/V
F0 phase margin
45
°
Phase comparator current
6·3mA
The phase detector gain factor
Kf = 6·3/2p = 1mA/radian
mA/radian
Phase comparator current setting
2
p
Kf =
From equation (3):
2
tan 45
°1
t
3 =
100kHz32p
1
cos 45
°
∴t
3 = 659310
2
9
=
628319
0·4142
t
2 =
(100kHz32p)23659310
2
9
1
∴t
2 = 3·844310
2
6
Using these values in equation (1):
t
1 =
1003(100kHz32p)2
1310
2
332p310MHz/V
3
[A]
11
vn
2 t
2
2
11
vn
2 t
3
2
where A =
=
1
2
11(100kHz32p)23(3·844310
2
6)2
11(100kHz32p)23(659310
2
9)2
t
1 =
∴t
1 = 3·84310
2
9
From equation (2):
= 1·59310
2
932·415
39·48310
2
12
62832
6·833
1·1714
1
2
Substituting for C2:
3·844310
2
6265931029
t
2 = R2 C11
t
3
R2
=
0·0153310
2
6
∴R
2 = 829·4
=
659310
2
9
829·4
t
3 = C2R2 =
t
3
R2
∴C
2 = 0·794nF
Now,
t
1 = C1
C
1 = 3·84nF
t
2 = R2 (C11C2)
t
2 = C2R2
t
22t3
C1
or,
R2=
+
C1
R2
C2
FROM
CHARGE PUMP
TO VCO
FROM
CHARGE PUMP
REFERENCE


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