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Locking Condition Time Constant (@ 4035)
This register provides the AS[2:0] and BS[2:0]
constants used by the algo part of the PLL (see
Figure 10). These two constants as well as the
phase error (err(n)) give the new value (Dn) of the
high frequency signal division. Consequently,
AS[2:0] and BS[2:0] fix the pixel clock frequency.
These two constants are used only in locking con-
dition, if the phase error is inferior to a fixed value
during at least 4 scan lines. If the phase error
becomes superior to the fixed value, the PLL is
not in locking condition but in capture process. In
this case, the algo part of the PLL uses the other
constants AF[2:0] and BF[2:0] from the next regis-
ter.
Capture Process Time Constant (@ 4036)
The choice between these two time constants
(locking condition or capture process) allows to
decrease the capture process time by changing
the time response of the PLL.
10.5.2 - How to choose the time constant value
The time response of the PLL is given by its char-
acteristic equation which is:
(x - 1)2 + (
) . (x - 1) +
= 0
Where:
[6:1] . 2A -11 and
= 3 . LD[6:1] . 2B - 19
(LD[6:1] = value of the LINE DURATION register,
A = value of the 1st time constant, AF or AS and
B = value of the 2d time constant, BF or BS).
As can be seen, the solution depends only on the
LINE DURATION and the TIME CONSTANTS
given by the I2C registers.
If (
)2 - 4
and 2
< 4, the PLL is sta-
ble and its response is as shown in Figure 15.
If (
)2 - 4
, the response of the PLL is as
shown in Figure 13. In this case the PLL is stable
if
> 0.7 damping coefficient.
Table 3 gives some good values for A and B con-
stants for different values of the LINE DURATION.
Figure
12.
Time
Response
of
the
PLL/
Characteristic equation solutions (with real
solutions)
Figure
13.
Time
Response
of
the
PLL/
Characteristic
equation
solutions
(with
complex solutions)
Table 3
Valid Time Constants Examples
Case of A[2:0] = 1 (001) and B[2:0] = 4 (100)
:Table meaning: N = No possible capture - No stability, Y = PLL can lock.
αβ
+
β
α
3LD
⋅
=
β
αβ
+
β 0
≥α β
–
αβ
+
β 0
≤
τ
PLL Frequency
Input Frequency
f
1
f
0
t
f
1
f
0
t
PLL Frequency
Input Frequency
f
1
f
0
t
f
1
f
0
t
B \ A
0
1
2
3
4
5
6
0
YYYY
YYYY
YYYY
YYYN
YNNN
NNNN
NNNN
1
YYYY
YYYY
YYYY
YYYN
YNNN
NNNN
NNNN
2
NYYY
YYYY
YYYY
YYYN
YNNN
NNNN
NNNN
3
NNNY
YYYY
YYYY
YYYN
YNNN
NNNN
NNNN
4
NNNN
NYYY(1)
YYYY
YYYN
YNNN
NNNN
NNNN
5
NNNN
NNNY
YYYY
YYYN
YNNN
NNNN
NNNN
6
NNNN
NNNN
NYYY
YYYN
YNNN
NNNN
NNNN
7
NNNN
NNNN
NNNY
YYYN
YNNN
NNNN
NNNN
LD[6:1]
8
16
24
32
Valid Time Constants
NYYY
5



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