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AD8390ACP データシートの表示(PDF) - Analog Devices

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AD8390ACP Datasheet PDF : 16 Pages
First Prev 11 12 13 14 15 16
AD8390
VCC
R2
0.1µF 10µF
R3
R1
+IN
0.1µF
VOCM
R1
0.1µF
–IN
VEE
0.1µF
10µF
RADJ
–OUT RM
+OUT RM
R3
R2
1:N
+
RL VOUT,DM
Figure 24. ADSL/ADSL2+ Application Circuit
Referring to Figure 24, the following describes how to calculate
the resistor values necessary to obtain the desired input imped-
ance, gain, and output impedance.
The differential input impedance to the circuit is simply 2R1.
As such, R1 is chosen by the designer to yield the desired input
impedance.
When synthesizing the output impedance, a factor k is
introduced, which is used to express the ratio of the negative
feedback resistor to the positive feedback resistor by
1 k = R3
(5)
R2
Along with the turns ratio N, k is also used to define the value of
the back termination resistors RM. Commonly used values for k
are 0.1 to 0.25. A k value of 0.1 would result in back termination
resistors that are only 1/10 as large as those in the simplest case
described above. Lower values of k result in greater amounts of
positive feedback. Therefore, values much lower than 0.1 can
lead to instability and are generally not recommended.
RM
=
k
×
2
RL
×N
2
(6)
This factor (k), along with R1, RM, and the desired gain (AV), is
then used to calculate the necessary values for R3 and R2.
( ) R3 = AV × R1× k + AV × R1 × AV × R1× k 2 + R M k × R M
(7)
The usually small value for RM allows a simplified approximation
for R3.
R3 R1 × 2 × k × AV
(8)
R2 = R3
(9)
1k
Once RM, R3, and R2 are computed, the closest 1% resistors can
be chosen and the gain rechecked with the following equation:
( ) AV
=
RM
R2×R3
+k ×R2+R2R3
×R1
(10)
Table 6 shows a comparison of the results using the exact values,
the simplified approximation, and the closest 1% resistor values.
In this example, R1, AV, and k were chosen to be 1.0 kΩ, 10 kΩ,
and 0.1 kΩ, respectively.
It should be noted that decreasing the value of the back termi-
nation resistors attenuates the receive signal by approximately
1/k. However, advances in low noise receive amplifiers permit
k values as small as 0.1 to be commonly used.
The line impedance, turns ratio, and k factor specify the output
voltage and current requirements from the AD8390. To accom-
modate higher crest factors or lower supply rails, the turns ratio,
N, may have to be increased. Since higher turns ratios and smaller
k factors both attenuate the receive signal, a large increase in N
may require an increase in k to maintain the desired noise
performance. Any particular design process requires that these
trade-offs be visited.
Table 6. Resistor Selection
Component
R1 (Ω)
R2 (Ω)
R3 (Ω)
RM (Ω)
Actual AV
Actual k (Eq. 5)
Exact
Values
1000
2246.95
2022.25
5
10.000
0.1
Approximate
Calculation
1000
2222.22
2000
5
9.889
0.1
Standard 1%
Resistor
Values
1000
2210
2000
4.99
10.138
0.095
MULTITONE POWER RATIO (MTPR)
Multitone power ratio is a commonly used figure of merit that
xDSL designers use to help describe system performance.
MTPR is the measured delta between the peak of a filled
frequency bin and the harmonic products that appear in an
intentionally empty frequency bin. Figure 25 illustrates this
principle. The plots in Figure 10 and Figure 13 show MTPR
performance in various power modes. All data were taken with
a circuit with a k factor of 0.1, a 1:1 turns ratio transformer, and
a waveform with a 5.4 peak-to-average ratio, also known as the
crest factor (CF).
10dB/DIV
–70dBc
CENTER 431.25kHz
1kHz/DIV
SPAN 10kHz
Figure 25. MTPR Measurement
Rev. C | Page 11 of 16

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