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AD9549 データシート(PDF) 29 Page - Analog Devices

部品番号 AD9549
部品情報  Dual Input Network Clock Generator/Synchronizer
PDF  78 Pages
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メーカー  AD [Analog Devices]
ホームページ  http://www.analog.com
Logo AD - Analog Devices

AD9549 データシート(HTML) 29 Page - Analog Devices

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Preliminary Technical Data
AD9549
Rev. PrA | Page 29 of 78
The loop filter coefficients are determined by the AD9549
evaluation software according to three parameters:
φ:
desired closed-loop phase margin (0 < φ < π/2 rad)
fLOOP:
desired open-loop bandwidth (Hz)
fDDS:
desired output frequency of the DDS (Hz)
Note that fDDS can also be expressed as fDDS = fR(S/R).
The three coefficients are calculated according to parameters
via the equations below:
)
tan(
4
φ
π
β
C
Pf
−
=
()β
φ
γ
F
2
1
=
(
)
β
φ
α
π
)
(
_
10
2
7
38
F
f
f
C
DDS
Gain
FPFD
−
=
Where
)
sin(
1
1
)
(
φ
φ
+
=
F
,
S
LOOP
f
f
C
f
=
, and FPFD_Gain is
the value of the gain scale factor for the Fine Phase Detector as
programmed into the I/O Register Map.
NOTE: The range of loop filter coefficients is limited as
follows:
0 < α < 223 (~8.39·106)
-0.125 < β < 0
-0.125 < γ < 0
The above constraints on β and γ constrain the closed-loop
phase margin such that both β and γ will assume negative
values. Even though β and γ are limited to negative quantities,
the values as programmed are positive. The negative sign is
assumed internally.
NOTE: The closed-loop phase margin is limited to the range of
0° < φ < 90° because β and γ are negative.
The three coefficients are implemented as digital elements,
necessitating quantized values. Determination of the
programmed coefficient values in this context follows.
The quantized α coefficient is composed of three factors, where
α
0
, α1 and α2 are the programmed values for the α coefficient:
( )( )( )2
1
0
2
2
2048
α
α
α
α
−
=
quantized
The boundary values for each are 0 ≤ α0 ≤ 4095,
0 ≤ α1 ≤ 22, and 0 ≤ α2 ≤ 7. The optimal values of α0, α1 and α2
are:
()
{
}
[
]
4095
2048
2
1
log
,
22
min
,
0
max
α
α
ceil
=
()
()
{
}
[
]
11
log
,
7
min
,
0
max
1
4095
2
2
−
+
=
α
α
α
floor
(
)
{
}
[
]
11
0
1
2
2
,
4095
min
,
0
max
+
−
⋅
=
α
α
α
α
round
The magnitude of the quantized β coefficient is composed of
two factors:
( ) ( )
(
)
15
0
1
2
+
−
=
β
β
β
quantized
Where β0 and β1 are the programmed values for the β
coefficient, The boundary values for each are 0 ≤ β0 ≤ 4095 and
0 ≤ β1 ≤ 7. The optimal values of β0 and β1 are:
( )
(
)
{
}
[
]
15
log
,
7
min
,
0
max
4095
2
1
−
=
β
β
floor
(
)
{
}
[
]
15
0
1
2
,
4095
min
,
0
max
+
⋅
=
β
β
β
round
The magnitude of the quantized γ coefficient is composed of
two factors:
() ()
(
)
15
0
1
2
+
−
=
γ
γ
γ
quantized
Where γ0 and γ1 are the programmed values for the γ coefficient,
the boundary values for each are 0 ≤ γ0 ≤ 4095 and 0 ≤ γ1 ≤ 7.
The optimal values of γ0 and γ1 are:
( )
(
)
{
}
[
]
15
log
,
7
min
,
0
max
4095
2
1
−
=
γ
γ
floor
(
)
{
}
[
]
15
0
1
2
,
4095
min
,
0
max
+
⋅
=
γ
γ
γ
round



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