LTC1164-8
U
W U U
APPLICATIONS INFORMATION
3
0
Passband Gain and Dynamic Range
V
= ±5V
S
R
= 340k
IN
R = 61.9k
F
The filter’s gain at fCENTER is set with an external op amp
and resistors RIN and RF (Figure 1). The filter’s center
frequency(fCENTER)isequaltotheclockfrequencydivided
by 100. The output dynamic range of LTC1164-8 is opti-
mized for minimum noise and maximum voltage swing
when resistor RF is 61.9k. The value of resistor RIN
depends on the filter’s gain and it is calculated by the
equation RIN = 340k/Gain. Table 2 lists the values of RIN
and RF for some typical gains. Increasing the filter’s gain
with resistor RIN does not increase the noise generated by
the filter. Table 3 shows the noise generated by the filter
with its input grounded.
–3
–6
–9
–12
–15
–18
–0.50
f
1.00
–1.00
0.50
(±% f
CENTER
PERCENT DEVIATION FROM f
)
CENTER
CENTER
LTC1164-8 • F03
Figure 3. Typical Passband Variations
Table 2. Passband Gain at Center Frequency, RIN and RF
the filter, only a small amount of input noise will reach the
filter’s output. If the output noise of the LTC1164-8 is
neglected, the signal-to-noise ratio at the output of the
filter divided by the signal-to-noise ratio at the input of the
filter equals:
GAIN
1
R
IN
(±1%) R (±1%) GAIN IN dB
R (±1%) R (±1%)
IN F
F
340k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
0
340k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
61.9k
2
169k
68.1k
34k
10
15
20
25
30
35
40
45
50
107k
60.4k
34k
5
10
(S/N)OUT/(S/N)IN = 20 • Log √(BW)IN/(BW)f
20
16.9k
6.81k
3.4k
19.1k
10.7k
6.01k
3.4k
50
where,
100
200
500
1000
(BW)IN = noise bandwidth at the input of the filter
(BW)f = 0.01 • fCENTER = noise equivalent filter bandwidth
1.69k
680Ω
340Ω
1.91k
1.07k
Example: A small 1kHz signal is sent through a cable that
also conducts random noise. The cable bandwidth is
3.4kHz. An LTC1164-8 is used to detect the 1kHz signal.
Thesignal-to-noiseratioattheoutputofthefilteris25.3dB
larger than the signal-to-noise ratio at the input of the filter
(20 • Log√(BW)IN/(BW)f = 20 • Log√3.4kHz/ 0.01 • 1kHz
1kHz = 25.3dB).
Table 3. LTC1164-8 Noise with Its Input Grounded
POWER SUPPLY
NOISE (µV
)
RMS
±5V
Single 5V
360 ±10%
270 ±10%
The passband of the LTC1164-8 is from 0.995 • fCENTER to
1.005 • fCENTER. At the passband’s end points the typical
filter gain is –3dB ±2dB relative to the gain at fCENTER
Figure 3 shows typical passband gain variations versus
percent of frequency deviation from fCENTER. Outside the
filter’s passband, signal attenuation increases to –50dB
for frequencies less than 0.96 • fCENTER and greater than
The AC output swing with ±5V supplies is ±4V, with a
single 5V supply it is 1V to 4V, when AGND (Pins 3, 5) is
biased at 2.5V. Table 4 lists op amps that are recom-
mended for use with an LTC1164-8. The LTC1164-8 is
designed and specified for a dual ±5V or single 5V supply
operation. The filter’s passband gain linearity is optimum
atsingle5VsupplyandwithPins3, 5(AGND)biasedat2V.
Filter operation at ±7.5V supplies is not tested or speci-
fied. At VS = 7.5V, the filter will operate with center
frequencies up to 7kHz. Please refer to the Passband
Variations vs Power Supply graph in the Typical Perfor-
mance Characteristics.
.
1.04 • fCENTER
.
In applications where a signal is to be detected in the
presence of wideband noise, the ultraselectivity of the
LTC1164-8 can improve the output signal-to-noise ratio.
Whenwidebandnoise(whitenoise)appearsattheinputto
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