10
LTC1562
1562fa
Because 2nd order sections with Q 1 have response
peaks near f
O
, the gain ratio above implies some rules of
thumb:
f
O
< 100kHz V2 tends to have the larger swing
f
O
> 100kHz V1 tends to have the larger swing.
The following situations are convenient because the
relative swing issue does not arise. The unused output’s
swing is naturally the smaller of the two in these cases:
Lowpass response (resistor input, V2 output, Figure 5)
with f
O
< 100kHz
Bandpass response (capacitor input, V2 output, Figure
6b) with f
O
< 100kHz
Bandpass response (resistor input, V1 output, Figure
6a) with f
O
> 100kHz
Highpass response (capacitor input, V1 output, Figure
7) with f
O
> 100kHz
The LTC1562-2, a higher frequency derivative of the
LTC1562, has a design center f
O
of 200kHz compared to
100kHz in the LTC1562. The rules summarized above
apply to the LTC1562-2 but with 200kHz replacing the
100kHz limits. Thus, an LTC1562-2 lowpass filter section
with f
O
below 200kHz automatically satisfies the desirable
condition of the unused output carrying the smaller signal
swing.
APPLICATIONS INFORMATION
WUU
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level inputs require further dynamic range, reducing the
value of Z
IN
boosts the signal gain while reducing the input
referred noise. This feature can increase the SNR for low
level signals. Varying or switching Z
IN
is also an efficient
way to effect automatic gain control (AGC). From a system
viewpoint, this technique boosts the ratio of maximum
signal to minimum noise, for a typical 2nd order lowpass
response (Q = 1, f
O
= 100kHz), to 118dB.
Input Voltages Beyond the Power Supplies
Properly used, the LTC1562 can accommodate input
voltage excursions well beyond its supply voltage. This
requires care in design but can be useful, for example,
when large out-of-band interference is to be removed from
a smaller desired signal. The flexibility for different input
voltages arises because the INV inputs are at virtual
ground potential, like the inverting input of an op amp with
negative feedback. The LTC1562 fundamentally responds
to input
current
and the external voltage V
IN
appears only
across the external impedance Z
IN
in Figure 3.
To accept beyond-the-supply input voltages, it is impor-
tant to keep the LTC1562 powered on, not in shutdown
mode, and to avoid saturating the V1 or V2 output of the
2nd order section that receives the input. If any of these
conditions is violated, the INV input will depart from a
virtual ground, leading to an overload condition whose
recovery timing depends on circuit details. In the event
that this overload drives the INV input beyond the supply
voltages, the LTC1562 could be damaged.
The most subtle part of preventing overload is to consider
the possible input signals or spectra and take care that
none of them can drive either V1 or V2 to the supply limits.
Note that neither output can be allowed to saturate, even
if it is not used as the signal output. If necessary the
passband gain can be reduced (by increasing the imped-
ance of Z
IN
in Figure 3) to reduce output swings.
The final issue to be addressed with beyond-the-supply
inputs is current and voltage limits. Current entering the
virtual ground INV input flows eventually through the
output circuitry that drives V1 and V2. The input current
magnitude (V
IN
/Z
IN
in Figure 3) should be limited by
design to less than 1mA for good distortion performance.
On the other hand, the input voltage V
IN
appears across the
Low Level or Wide Range Input Signals
The LTC1562 contains a built-in capability for low noise
amplification of low level signals. The Z
IN
impedance in
each 2nd order section controls the block’s gain. When set
for unity passband gain, a 2nd order section can deliver an
output signal more than 100dB above the noise level. If low
Figure 8. 100kHz, Q = 0.7 Lowpass Circuit for
Distortion vs Loading Test
INV V1
2nd ORDER
1/4 LTC1562
V2
1562 F08
R2
10k
C
L
30pF
R
L
(EXTERNAL
LOAD RESISTANCE)
R
Q
6.98k
R
IN
10k
V
IN
V
OUT
11
LTC1562
1562fa
APPLICATIONS INFORMATION
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external component Z
IN
, usually a resistor or capacitor.
This component must of course be rated to sustain the
magnitude of voltage imposed on it.
Lowpass “T” Input Circuit
The virtual ground INV input in the Operational Filter block
provides a means for adding an “extra” lowpass pole to
any resistor-input application (such as the basic lowpass,
Figure 5, or bandpass, Figure 6a). The resistor that would
otherwise form Z
IN
is split into two parts and a capacitor
to ground added, forming an R-C-R “T” network (Figure
9). This adds an extra, independent real pole at a fre-
quency:
f
RC
P
PT
=
π
1
2
where C
T
is the new external capacitor and R
P
is the
parallel combination of the two input resistors R
INA
and
R
INB
. This pair of resistors must normally have a pre-
scribed series total value R
IN
to set the filter’s gain as
described above. The parallel value R
P
can however be set
arbitrarily (to R
IN
/4 or less) which allows choosing a
convenient standard capacitor value for C
T
and fine tuning
the new pole with R
P
.
INV V1
2nd ORDER
1/4 LTC1562
V2
1562 F09
R2R
Q
R
INB
R
INA
C
T
V
IN
Figure 9. Lowpass “T” Input Circuit
The procedure therefore is to begin with the target extra
pole frequency f
P
. Determine the series value R
IN
from the
gain requirement. Select a capacitor value C
T
such that R
P
= 1/(2πf
P
C
T
) is no greater than R
IN
/4, and then choose
R
INA
and R
INB
that will simultaneously have the parallel
value R
P
and the series value R
IN
. Such R
INA
and R
INB
can
be found directly from the expression:
1
2
1
2
4
2
RRRR
IN IN IN P
±
()
A practical limitation of this technique is that the C
T
capaci-
tor values that tend to be required (hundreds or thousands
of pF) can destabilize the op amp in Figure 3 if R
INB
is too
small, leading to AC errors such as Q enhancement. For this
reason, when R
INA
and R
IN
B are unequal, preferably the
larger of the two should be placed in the R
INB
position.
Highpass “T” Input Circuit
A method similar to the preceding technique adds an
“extra” highpass pole to any capacitor-input application
(such as the bandpass of Figure 6b or the highpass of
Figure 7). This method splits the input capacitance C
IN
into
two series parts C
INA
and C
INB
, with a resistor R
T
to ground
between them (Figure 10). This adds an extra 1st order
highpass corner with a zero at DC and a pole at the
frequency:
f
RC
P
TP
=
π
1
2
where C
P
= C
INA
+ C
INB
is the parallel combination of the
two capacitors. At the same time, the total series capaci-
tance C
IN
will control the filter’s gain parameter (H
H
in
Basic Highpass). For a given series value C
IN
, the parallel
value C
P
can still be set arbitrarily (to 4C
IN
or greater).
Figure 10. Highpass “T” Input Circuit
INV V1
2nd ORDER
1/4 LTC1562
V2
1562 F10
R2R
Q
C
INB
R
T
V
IN
C
INA
The procedure then is to begin with the target corner (pole)
frequency f
P
. Determine the series value C
IN
from the gain
requirement (for example, C
IN
= H
H
(159pF) for a highpass).
Select a resistor value R
T
such that C
P
= 1/(2πR
T
f
P
) is at
least 4C
IN
, and select C
INA
and C
INB
that will simultaneously
have the parallel value C
P
and the series value C
IN
. Such
C
INA
and C
INB
can be found directly from the expression:
1
2
1
2
4
2
CCCC
P P IN P
±
()
12
LTC1562
1562fa
APPLICATIONS INFORMATION
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3dB frequencies f
L
and f
H
are widely separated from this
peak.
The LTC1562’s f
O
is trimmed in production to give an
accurate 180° phase shift in the configuration of Figure
6a with resistor values setting f
0
= 100kHz and Q = 1.
Table 1 below shows typical differences between f
O
values measured via the bandpass 180° criterion and f
O
values measured using the two other methods listed
above (Figure 6a, R
IN
= R
Q
).
Table 1
f
O
Q = 1 Q = 1 Q = 5 Q = 5
(BP 180
°
) BP-PEAK f
O
ƒƒ
ƒƒ
ƒ
L
ƒƒ
ƒƒ
ƒ
H
f
O
BP-PEAK f
O
ƒƒ
ƒƒ
ƒ
L
ƒƒ
ƒƒ
ƒ
H
f
O
60kHz +0.3% +0.3% +0.05% +0.05%
100kHz +0.6% +0.6% +0.1% +0.1%
140kHz +0.8% +0.8% +0.15% +0.15%
LTC1562 Demo Board
The LTC1562 demo board is assembled with an LTC1562
or LTC1562A in a 20-pin SSOP package and power supply
decoupling capacitors. Jumpers on the board configure
the LTC1562 for dual or single supply operation and power
shutdown. Pads for surface mount resistors and capaci-
tors are provided to build application-specific filters. Also
provided are terminals for inputs, outputs and power
supplies.
This procedure can be iterated, adjusting the value of R
T
,
to find convenient values for C
INA
and C
INB
since resistor
values are generally available in finer increments than
capacitor values.
Different “f
O
” Measures
Standard 2nd order filter algebra, as in Figure 4 and the
various transfer-function expressions in this data sheet,
uses a center frequency parameter f
O
(or ω
O
, which is
2πf
O
). f
O
can also be measured in practical ways, includ-
ing:
The frequency where a bandpass response has 180°
phase shift
The frequency where a bandpass response has peak
gain
The geometric mean of the –3.01dB gain frequencies in
a bandpass (√ƒ
L
ƒ
H
in Figure 4)
An ideal mathematical 2nd order response yields exactly
the same frequency by these three measures. However,
real 2nd order filters with finite-bandwidth circuitry show
small differences between the practical f
O
measures,
which may be important in critical applications. The issue
is chiefly of concern in high-Q bandpass applications
where, as the data below illustrate, the different f
0
mea-
surements tend to converge anyway for the LTC1562. At
low Q the bandpass peak is not sharply defined and the

LTC1562CN#PBF

Mfr. #:
Manufacturer:
Analog Devices Inc.
Description:
Active Filter Active RC Quad Universal Filter
Lifecycle:
New from this manufacturer.
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