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IDT™ / ICS™ VCXO LVPECL FEMTOCLOCK™ PLL 12 ICS813321AG-04 REV. A NOVEMBER 28, 2007
ICS813321-04
VCXO W/3.3V, 2.5V LVPECL FEMTOCLOCK™ PLL
lobmySretemaraPsnoitidnoCtseTmuminiMlacipyTmumixaMstinU
C
WOL_V
ecnaticapaCrotcaraVwoLV
C
V0=6Fp
C
HGIH_V
ecnaticapaCrotcaraVhgiHV
C
V3.3=11Fp
TABLE 7. VARACTOR PARAMETERS
FORMULAS
()( )
LowVSLLowVSL
LowVSLLowVSL
Low CCCCCC
CCCCCC
_22_11
_22_11
+++++
++⋅++
=
()( )
HighVSLHighVSL
HighVSLHighVSL
High CCCCCC
CCCCCC
_22_11
_22_11
+++++
++⋅++
=
01
0
01
0
10
12
1
12
1
)( ⋅
⎟
⎟
⎟
⎟
⎠
⎞
⎜
⎜
⎜
⎜
⎝
⎛
⎟
⎠
⎞
⎜
⎝
⎛+⋅⋅
−
⎟
⎠
⎞
⎜
⎝
⎛+⋅⋅
=
C
C
C
C
C
C
C
C
TPRRangePull
otal
HighLow
•C
Low is the effective capacitance due to the low varactor capacitance, load capacitance and stray capacitance.
CLow determines the high frequency component on the TPR.
•C
High is the effective capacitance due to the high varactor capacitance, load capacitance and stray capacitance.
CHigh determines the low frequency component on the TPR.
Absolute Pull Range (APR) = Total Pull Range – (Frequency Tolerance + Frequency Stability + Aging)
EXAMPLE CALCULATIONS
Using the tables and figures above, we can now calculate the
TPR and APR of the VCXO using the example crystal parameters.
For the numerical example below there were some assumptions
made. First, the stray capacitance (CS1, CS2), which is all the excess
capacitance due to board parasitic, is 4pF. Second, the expected
lifetime of the project is 5 years; hence the inaccuracy due to
aging is ±15ppm. Third, though many boards will not require load
tuning capacitors (CL1, CL2), it is recommended for long-term
consistent performance of the system that two tuning capacitor
pads be placed into every design. Typical values for the load tuning
capacitors will range from 0 to 4pF.
TPR = ±106ppm
APR = 106ppm – (20ppm + 20ppm + 15ppm) = ±51ppm
The example above will ensure a total pull range of
±106 ppm with an APR of ±51ppm. Many times, board designers
may select their own crystal based on their application. If the
application requires a tighter APR, a crystal with better pullability
(C0/C1 ratio) can be used. Also, with the equations above, one
can vary the frequency tolerance, temperature stability, and aging
or shunt capacitance to achieve the required pullability.
⋅
⎟
⎟
⎟
⎟
⎠
⎞
1
2· 220 · (1 + 9.5pƒ 4pƒ ) 2· 220 · (1 +15.7pƒ 4pƒ )
1
–
TPR = · 106 = 212ppm
CLow =(0 + 4pƒ + 15pƒ ) · (0 + 4 pƒ + 15pƒ )
(0 + 4pƒ + 15pƒ ) · (0 + 4pƒ + 15pƒ ) = 9.5pƒCHigh =(0 + 4pƒ + 27.4 pƒ ) · (0 + 4 pƒ + 27.4pƒ )
(0 + 4pƒ + 27.4pƒ ) · (0 + 4 pƒ + 27.4 pƒ ) = 15.7pƒ