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LMX3161VBH датащи(PDF) 13 Page - National Semiconductor (TI)

[Old version datasheet] Texas Instruments acquired National semiconductor.
номер детали LMX3161VBH
подробное описание детали  Single Chip Radio Transceiver
PDF  14 Pages
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производитель  NSC [National Semiconductor (TI)]
домашняя страница  http://www.national.com
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LMX3161VBH датащи(HTML) 13 Page - National Semiconductor (TI)

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Loop Filter Design Consideration
Loop Gain Equations
A linear control system model of the phase feedback for a
PLL in the locked state is shown in
Figure 2. The open loop
gain is the product of the phase comparator gain (K φ ), the
VCO gain (K
vco/s), and the loop filter gain Z(s) divided by the
gain of the feedback counter modulus (N). The passive loop
filter configuration used is displayed in
Figure 3, while the
complex impedance of the filter is given in
Equation (2).
PASSIVE LOOP FILTER
Open loop gain = H(s) G(s) =
θi/θe = Kφ Z(s)K
VCO/Ns
(1)
(2)
The time constants which determine the pole and zero fre-
quencies of the filter transfer function can be defined as
(3)
and
T2 = R2
• C2
(4)
The 3rd order PLL Open Loop Gain can be calculated in
terms of frequency,
ω, the filter time constants T1 and T2,
and the design constants Kφ,Kvco, and N.
(5)
From
Equations (3), (4) we can see that the phase term will
be dependent on the single pole and zero such that the
phase margin is determined in
Equation (6).
φ (ω) = tan −1 (ω • T 2) − tan−1 (ω • T 1) + 180˚ (6)
DS012815-8
FIGURE 1. Conventional PLL Architecture
DS012815-9
FIGURE 2. PLL Linear Model
DS012815-10
FIGURE 3. Passive Loop Filter
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