![](http://datasheet.mmic.net.cn/390000/STV9425B_datasheet_16835579/STV9425B_13.png)
FUNCTIONAL DESCRIPTION
(continued)
VIII.2 - Howto choose the value of the time
constant
The time response of the PLL is given by its char-
acteristic equationwhich is :
(
x
1
)
2
+ (
α
+ β
)
(
x
1
) +
β
=
0
.
Where :
α =
3
LD[5:0]
2
A
11
and
β =
3
LD[5:0]
2
B
19
.
(LD[5:0] = value of the LINE DURATION register,
A = value of the 1st time constant, AF or AS and
B = value of the 2
d
time constant,BF or BS).
As you can see, the solution depend only on the
LINE DURATION and the TIME CONSTANTS
given by the I
2
C registers.
If
(α + β)
2
4
β
≥
0 and 2
α β <
4, thePLL is sta-
ble
and its response is like this presented on
Figure 11.
t
PLL
Frequency
f
0
f
1
t
Input
Frequency
f
0
f
1
9
Figure 11 :
Time Response of the PLL/Charac-
teristicEquationSolutions(with
Real Solutions)
If
(α + β)
2
4
β
≤
0, the response of the PLL is like
thispresented on Figure12.
In this case the PLL is stable if
τ
> 0.7 damping
coefficient).
t
PLL
Frequency
f
0
f
1
t
Input
Frequency
f
0
f
1
9
Figure 12 :
Time Response of the PLL/Charac-
teristic EquationSolutions(with
ComplexSolutions)
The Table 2 gives some good values for A and B
constants for different values of the LINE DURA-
TION.
Summary
For a good working of the PLL :
- A and B time constantsmust be chosen among
values for whichthe PLLis stable,
- B must be equal or greaterthan Aand the differ-
ence betweenthem must be less than 3,
- The greater (A, B) are, the fasterthe captureis.
Anoptimalchoiceforthemostofapplicationsmight
be :
- For locking condition: AS = 0 and BS = 1,
- For captureprocess : AS= 2 and BS= 4.
But for eachapplicationthe time constantscan be
calculated by solving the characteristic equation
and choosingthe bestresponse.
Table 2 :
ValidTime ConstantsExamples
B \ A
0
1
2
3
4
5
6
7
0
1
2
3
4
5
6
YYYY
YYYY
NYYY
NNNY
NNNN
NNNN
NNNN
NNNN
YYYY
YYYY
YYYY
YYYY
NYYY
(1)
NNNY
NNNN
NNNN
YYYY
YYYY
YYYY
YYYY
YYYY
YYYY
NYYY
NNNY
YYYN
YYYN
YYYN
YYYN
YYYN
YYYN
YYYN
YYYN
YNNN
YNNN
YNNN
YNNN
YNNN
YNNN
YNNN
YNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
NNNN
9
Note :
1. Case ofA[2:0]= 1 (001) and B[2:0]= 4 (100) :
LD
Valid Time Constants
16
N
32
Y
48
Y
63
Y
Valueof LINE DURATION Register (@ 3FF0) :
LD = 16 : LD[5:0] = 010000
LD = 32 : LD[5:0] = 100000
LD = 48 : LD[5:0] = 110000
LD = 63 : LD[5:0] = 111111
Tablemeaning :
N = No possible capture
Y = PLL can lock
STV9425 - STV9425B - STV9426
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