
Application Notes (Continued)
The ripple observed on the output of the detector equals the
detectors response to variation on the input due to AM
modulation (Figure 3). This signal has a maximum amplitude
V
IN
(1+µ) and a minimum amplitude V
IN
(1−µ), where 1+µ can
be maximum 2 and 1−µ can be minimum 0. The ripple can
be described with the formula:
(5)
where V
Y
is the slope of the detection curve (Figure 4) and µ
is the modulation index. Equation 5 can be reduced to:
(6)
Consequently, the ripple is independent of the average input
power of the RF input signal and only depends on the
logarithmic slope V
Y
and the ratio of the maximum and the
minimum input signal amplitude.
For CDMA, the ratio of the maximum and the minimum input
signal amplitude modulation is typically in the order of 5 to 6
dB, which is equivalent to a modulation index µ of 0.28 to
0.33.
A further understanding of the equation above can be
achieved via the knowledge that the output voltage V
OUT
of
the LMV227 is linear in dB, or proportional to the input power
P
IN
in dBm. As discussed earlier, CDMA contains amplitude
modulation in the order of 5 to 6 dB. Since the transfer is
linear in dB, the output voltage V
OUT
will vary linearly over
about 5 to 6 dB in the curve (Figure 4).
Besides the ripple due to AM modulation, the log- conform-
ance error contributes to a variation in V
OUT
. For details see
the typical performance characteristics curves. The output
voltage variation ∆V
OUT
thus is always the same for RF input
signals which fall within the linear range (in dB) of the
detector plus the log-conformance error:
∆V
O
=V
Y
·∆P
IN
+ Log Conformance Error (7)
In which V
Y
is the slope of the curve. The log-conformance
error is usually much smaller than the ripple due to AM
modulation. In case of the LMV227, V
Y
= 40 mV/dB. With
∆P
IN
= 5 dB for CDMA, the ∆V
O
= 200 mV
PP
. This is valid for
all V
OUT
.
Output Ripple With Additional Filtering
The calculated result above is for an unfiltered configuration.
When a low pass filter is used by shunting a capacitor of e.g.
C
OUT
= 1.5 nF at the output of the LMV227 to ground, this
ripple is further attenuated. The cut-off frequency follows
from:
(8)
With the output resistance of the LMV227 R
O
= 19.8 kΩ
typical and C
OUT
= 1.5 nF, the cut-off frequency equals f
C
=
5.36 kHz. A 100 kHz AM signal then gets attenuated by
5.36/100 or 25.4 dB. The remaining ripple will be less than
20 mV. With a slope of 40 mV/dB this translates into an error
of less than 0.5 dB.
Output Ripple Measurement
Figure 5 shows the ripple reduction that can be achieved by
adding additional capacitance on the output of the LMV227.
The RF signal of 900 MHz is AM modulated with a 100 kHz
sinewave and a modulation index of 0.3. The RF input power
is swept while the modulation index remains unchanged.
Without addition capacitance the ripple is about 200 mV
PP
.
Connecting a capacitor of 1.5 nF at the output to ground,
results in a ripple of 12 mV
PP
. The attenuation with a 1.5 nF
capacitor is then 20 · log (200/12) = 24.4 dB. This is very
close to the number calculated in the previous paragraph.
20118117
FIGURE 3. AM Modulated RF Signal 20118118
FIGURE 4. V
OUT
vs. RF Input Power P
IN
LMV227
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