Datasheet LTC1562-2 Datasheet (Linear Technology)

FEATURES
Continuous Time—No Clock
Four 2nd Order Filter Sections, 20kHz to 300kHz Center Frequency
Butterworth, Chebyshev, Elliptic or Equiripple Delay Response
Lowpass, Bandpass, Highpass Responses
99dB Typical S/N, ±5V Supply (Q = 1)
93dB Typical S/N, Single 5V Supply (Q = 1)
Rail-to-Rail Input and Output Voltages
DC Accurate to 3mV (Typ)
±0.5% Typical Center Frequency Accuracy
“Zero-Power” Shutdown Mode
Single or Dual Supply, 5V to 10V Total
Resistor-Programmable fO, Q, Gain
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APPLICATIO S
High Resolution Systems (14 Bits to 18 Bits)
Antialiasing/Reconstruction Filters
Data Communications, Equalizers
Dual or I-and-Q Channels (Two Matched 4th Order Filters in One Package)
Linear Phase Filtering
Replacing LC Filter Modules
LTC1562-2
Very Low Noise, Low Distortion
Active RC Quad Universal Filter
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DESCRIPTIO
The LTC®1562-2 is a low noise, low distortion continuous time filter with rail-to-rail inputs and outputs, optimized for a center frequency (fO) of 20kHz to 300kHz. Unlike most monolithic filters, no clock is needed. Four independent 2nd order filter blocks can be cascaded in any combination, such as one 8th order or two 4th order filters. Each block’s response is programmed with three external resistors for center frequency, Q and gain, using simple design formulas. Each 2nd order block provides lowpass and bandpass out­puts. Highpass response is available if an external capacitor replaces one of the resistors. Allpass, notch and elliptic responses can also be realized.
The LTC1562-2 is designed for applications where dynamic range is important. For example, by cascading 2nd order sections in pairs, the user can configure the IC as a dual 4th order Butterworth lowpass filter with 90dB signal-to-noise ratio from a single 5V power supply. Low level signals can exploit the built-in gain capability of the LTC1562-2. Varying the gain of a section can achieve a dynamic range as high as 114dB with a ±5V supply.
Other cutoff frequency ranges can be provided upon request. Please contact LTC Marketing.
, LTC and LT are registered trademarks of Linear Technology Corporation.
TYPICAL APPLICATIO
Dual 4th Order 200kHz Butterworth Lowpass Filter, SNR 96dB
R
7.87k
IN1
V
IN1
5V
R
IN3
V
IN2
*V– ALSO AT PINS 4, 7, 14 & 17 ALL RESISTORS 1% METAL FILM
7.87k
RQ1 4.22k
R21 7.87k
0.1µF
R23 7.87k
R
4.22k
Q3
1
INV B
2
V1 B
3
V2 B
5
+
LTC1562-2
V
6
SHDN
8
V2 A
9
V1 A
10
INV A
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Amplitude Response
R
7.87k
IN2
V
0.1µF
OUT1
–5V*
V
OUT2
INV C
V1 C
V2 C
AGND
V2 D
V1 D
INV D
20
10.2k
R
Q2
19
R22 7.87k
18
16
V
15
R24 7.87k
13
10.2k
R
Q4
12
11
R
7.87k
IN4
1562-2 TA01
10
0
–10
–20
–30
–40
GAIN (dB)
–50
–60
–70
–80
50k
100k
1.5M1M
FREQUENCY (Hz)
1562-2 TA02
1
LTC1562-2
WW
W
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ABSOLUTE MAXIMUM RATINGS
(Note 1)
Total Supply Voltage (V+ to V–) .............................. 11V
Maximum Input Voltage
at Any Pin ....................(V– – 0.3V) V (V+ + 0.3V)
Storage Temperature Range ................. –65°C to 150°C
Operating Temperature Range
LTC1562C-2 ............................................ 0°C to 70°C
LTC1562I-2 ........................................ –40°C to 85°C
Lead Temperature (Soldering, 10 sec).................. 300°C
ELECTRICAL CHARACTERISTICS
range, otherwise specifications are at T specs are for a single 2nd order section, R
= 25°C. VS = ±5V, outputs unloaded, SHDN pin to logic “low”, unless otherwise noted. AC
A
= R2 = 10.4k ±0.1%, RQ = 9.09k ±0.1%, f
IN
The denotes specifications that apply over the full operating temperature
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PACKAGE/ORDER INFORMATION
TOP VIEW
INV B
1
V1 B
2
V2 B
3
–*
V
4
+
V
5
SHDN
6
–*
V
7
V2 A
8
V1 A
9
INV A
10
G PACKAGE
20-LEAD PLASTIC SSOP
*G PACKAGE PINS 4, 7, 14, 17 ARE
SUBSTRATE/SHIELD CONNECTIONS
AND MUST BE TIED TO V
T
= 150°C, θJA = 136°C/W
JMAX
Consult factory for Military grade parts.
= 175kHz.
O
20
INV C
19
V1 C
18
V2 C
–*
17
V
16
V
15
AGND
–*
14
V
13
V2 D
12
V1 D
11
INV D
ORDER PART
NUMBER
LTC1562CG-2 LTC1562IG-2
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SYMBOL PARAMETER CONDITIONS MIN TYP MAX UNITS
V
S
I
S
V
OS
H
L
Total Supply Voltage 4.75 10.5 V Supply Current VS = ±2.375V, RL = 5k, CL = 30pF, Outputs at 0V 21 23.5 mA
= ±5V, RL = 5k, CL = 30pF, Outputs at 0V 22.5 25 mA
V
S
VS = ±2.375V, RL = 5k, CL = 30pF, Outputs at 0V 28 mA V
= ±5V, RL = 5k, CL = 30pF, Outputs at 0V 30 mA
S
Output Voltage Swing, V2 Outputs VS = ±2.375V, RL = 5k, CL = 30pF 4.2 4.6 V
VS = ±5V, RL = 5k, CL = 30pF 9.3 9.8 V
Output Voltage Swing, V1 Outputs VS = ±2.375V, RL = 5k, CL = 30pF, f = 250kHz 4.5 V
VS = ±5V, RL = 5k, CL = 30pF, f = 250kHz 8.4 9.7 V
DC Offset Magnitude, V2 Outputs VS = ±2.375V, Input at AGND Voltage 3 17 mV
= ±5V, Input at AGND Voltage 3 17 mV
V
S
DC AGND Reference Point VS = Single 5V Supply 2.5 V Center Frequency (fO) Error (Notes 2, 3) VS = ±5V, V2 Output Has RL = 5k, CL = 30pF 0.5 1.7 % Lowpass Passband Gain at V2 Output VS = ±2.375V, fIN = 10kHz, 0 +0.05 +0.1 dB
V2 Output Has R Q Accuracy VS = ±2.375V, V2 Output Has RL = 5k, CL = 30pF +2 % Wideband Output Noise VS = ±2.375V, BW = 400kHz, Input AC GND 39 µV
VS = ±5V, BW = 400kHz, Input AC GND 39 µV Input-Referred Noise, Gain = 100 BW = 400kHz, fO = 200kHz, Q = 1, Input AC GND 7.3 µV
= 5k, CL = 30pF
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P-P P-P
P-P P-P
RMS RMS
RMS
2
LTC1562-2
ELECTRICAL CHARACTERISTICS
range, otherwise specifications are at T specs are for a single 2nd order section, R
= 25°C. VS = ±5V, outputs unloaded, SHDN pin to logic “low”, unless otherwise noted. AC
A
= R2 = 10.4k ±0.1%, RQ = 9.09k ±0.1%, f
IN
The denotes specifications that apply over the full operating temperature
= 175kHz.
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SYMBOL PARAMETER CONDITIONS MIN TYP MAX UNITS
THD Total Harmonic Distortion, V2 Output fIN = 20kHz, 2.8V
R
= 5k, CL = 30pF
L
fIN = 20kHz, 9V
= 5k, CL = 30pF
R
L
Shutdown Supply Current SHDN Pin to V
SHDN Pin to V
, V1 and V2 Outputs Have –100 dB
P-P
, V1 and V2 Outputs Have – 82 dB
P-P
+ +
, VS = ±2.375V 1.0 µA
1.5 15 µA
Shutdown-Input Logic Threshold 2.5 V Shutdown-Input Bias Current SHDN Pin to 0V –10 – 20 µA Shutdown Delay SHDN Pin Steps from 0V to V
+
20 µs
Shutdown Recovery Delay SHDN Pin Steps from V+ to 0V 100 µs Inverting Input Bias Current, Each Biquad 5 pA
Note 1: Absolute Maximum Ratings are those values beyond which the life
Note 3: Tighter frequency tolerance is available, consult factory.
of a device may be impaired. Note 2: f
change from ±5V to ±2.375 supplies is – 0.2% typical,
O
temperature coefficient magnitude, 25°C to 85°C, is
f
O
50ppm/°C typical.
As with the LTC1562, fO decreases with increasing temperature.
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TYPICAL PERFOR A CE CHARACTERISTICS
fO Error vs Nominal fO (V
3.0 TA = 25°C
2.5
= R
R
IN
120
Q
160 200 240 280260140 180 220
NOMINAL fO (kHz)
2.0
1.5
1.0
0.5
0
–0.5
ERROR (%)
O
f
–1.0 –1.5 –2.0 –2.5 –3.0
= ±5V)
S
Q = 5
Q = 2.5
Q = 1
1562-2 G01
fO Error vs Nominal fO (V
3.0 TA = 25°C
2.5
= R
R
IN
120
Q
160 200 240 280260140 180 220
NOMINAL fO (kHz)
2.0
1.5
1.0
0.5
0
–0.5
ERROR (%)
O
f
–1.0 –1.5 –2.0 –2.5 –3.0
S
Q = 5
Q = 2.5
Q = 1
= ±2.5V)
1562-2 G02
Q Error vs Nominal fO (V
45 40 35 30 25 20 15
Q ERROR (%)
10
5 0
–5
100
TA = 70°C
= 25°C
T
A
= RQ
R
IN
140 180 220 300240120 160 200 280
NOMINAL fO (kHz)
= ±5V)
S
Q = 5
Q = 2.5
Q = 1
260
1562-2 G03
3
LTC1562-2
UW
TYPICAL PERFOR A CE CHARACTERISTICS
Q Error vs Nominal fO (V
55 50 45 40 35 30 25 20
Q ERROR (%)
15 10
5 0
–5
100
TA = 70°C
= 25°C
T
A
= RQ
R
IN
140 180 220 300240120 160 200 280
NOMINAL fO (kHz)
LP Noise vs Nominal f (V
= ±5V, 25°C) (Figure 3,
S
V2 Output) (RIN = R2)
100
90
80
)
70
RMS
60
50
40
LP NOISE (µV
30
20
10
120
140 180
160
NOMINAL fO (kHz)
Q = 5
Q = 2.5
Q = 1
200
Q = 5
Q = 2.5
O
220
= ±2.5V)
S
Q = 1
260
240
1562-2 G04
260
1562-2 G07
280
Peak BP Gain vs Nominal f (V
= ±5V) (Figure 3, V1 Output)
S
3.00
2.75
2.50
2.25
2.00
1.75
1.50
1.25
1.00
PEAK BP GAIN (dB)
0.75
0.50
0.25 0
100
TA = 70°C T
R
= RQ
IN
120 160
140
BP Noise vs Nominal f (V
= ±5V, 25°C) (Figure 3,
S
V1 Output) (RIN = RQ)
100
90
80
)
70
RMS
60
50
40
BP NOISE (µV
30
20
10
120
140 180
160
NOMINAL fO (kHz)
= 25°C
A
200 280
180
NOMINAL fO (kHz)
Q = 5
Q = 2.5
Q = 1
200
220
Q = 2.5
220
O
240
Q = 5
Q = 1
240
O
260
260
1562-2 G08
Peak BP Gain vs Nominal f (V
= ±2.5V) (Figure 3, V1 Output)
S
1562-2 G5
300
4.00
3.75
3.50
3.25
3.00
2.75
2.50
2.25
2.00
1.75
1.50
1.25
PEAK BP GAIN (dB)
1.00
0.75
0.50
0.25 0
100
TA = 70°C T
A
R
= RQ
IN
120 160
140
= 25°C
Distortion vs External Load Resistance and Frequency (V
= ±5V, 25°C) (Figure 8)
S
0
2nd ORDER LOWPASS
–10
= 200kHz
f
O
Q = 0.7
–20
OUTPUT LEVEL 1V ±5V SUPPLIES
–30 –40 –50 –60 –70 –80 –90
THD (AMPLITUDE BELOW FUNDAMENTAL) (dB)
–100
280
10k
EXTERNAL LOAD RESISTANCE ()
RMS
fIN = 100kHz
f
= 50kHz
IN
= 20kHz
f
IN
5k
Q = 5
Q = 2.5
Q = 1
200 280
220
180
NOMINAL fO (kHz)
(2.83V
)
P-P
2k
240
1562-2 G09
260
O
300
1562-2 G6
THD (AMPLITUDE BELOW FUNDAMENTAL) (%)
100
10
1
0.1
0.01
0.001
1k
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PIN FUNCTIONS
Power Supply Pins: The V+ and V– pins should be bypassed with 0.1µF capacitors to an adequate analog ground or ground plane. These capacitors should be connected as closely as possible to the supply pins. Pins 4, 7, 14 and 17 are internally connected to V– (Pin 16) and should also be tied to the same point as Pin 16 for best shielding. Low noise linear supplies are recommended. Switching supplies are not recommended as they will lower the filter dynamic range.
4
Analog Ground (AGND): The AGND pin is the midpoint of a resistive voltage divider, developing a potential halfway between the V+ and V– pins, with an equivalent series resistance nominally 7k. This serves as an internal ground reference. Filter performance will reflect the quality of the analog signal ground and an analog ground plane surrounding the package is recommended. The analog ground plane should be connected to any digital ground at a single point. For dual supply operation, the AGND pin
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PIN FUNCTIONS
LTC1562-2
should be connected to the ground plane (Figure 1). For single supply operation, the AGND pin should be bypassed to the ground plane with at least a 0.1µF capacitor (at least 1µF for best AC performance) (Figure 2).
ANALOG GROUND PLANE
+
V
0.1µF
SINGLE-POINT SYSTEM GROUND
10
1
2
3
4
5
6
7
8
9
LTC1562-2
20
19
18
17
16
15
14
13
12
11
GROUND PLANE
DIGITAL
(IF ANY)
V
0.1µF
Shutdown (SHDN): When the SHDN input goes high or is open-circuited, the LTC1562-2 enters a “zero-power” shutdown state and only junction leakage currents flow. The AGND pin and the amplifier outputs (see Figure 3) assume a high impedance state and the amplifiers effec­tively disappear from the circuit. (If an input signal is applied to a complete filter circuit while the LTC1562-2 is in shutdown, some signal will normally flow to the output through passive components around the inactive op amps.)
A small pull-up current source at the SHDN input
defaults the LTC1562-2 to the shutdown state if the SHDN pin is left floating
. Therefore, the user
must
connect the SHDN pin
to a logic “low” (0V for ±5V supplies, V– for 5V total supply) for normal operation of the LTC1562-2. (This convention permits true “zero-power” shutdown since not even the driving logic must deliver current while the part is in shutdown.) With a single supply voltage, use V– for logic “low,” do not connect SHDN to the AGND pin.
1562-2 F01
Figure 1. Dual Supply Ground Plane Connection (Including Substrate Pins 4, 7, 14, 17)
ANALOG GROUND PLANE
+
V
0.1µF
SINGLE-POINT SYSTEM GROUND
10
1
2
3
4
5
6
7
8
9
LTC1562-2
20
19
18
17
16
15
14
13
12
+
V
11
GROUND PLANE
/2
REFERENCE
DIGITAL
(IF ANY)
1µF
1562-2 F01
Figure 2. Single Supply Ground Plane Connection (Including Substrate Pins 4, 7, 14, 17)
1/4 LTC1562-2
1
sR1C*
*R1 AND C ARE PRECISION INTERNAL COMPONENTS
C
+
V2 V1
ZIN TYPE
R C
R2
RESPONSE
AT V1
BANDPASS HIGHPASS
RESPONSE
AT V2
LOWPASS
BANDPASS
INV
Z
IN
+
V
IN
R
Q
IN EACH CASE,
= (200kHz)
f
O
RQ
Q =
R2
7958
()
R2
200kHz
()
f
O
1562-2 F03
Figure 3. Equivalent Circuit of a Single 2nd Order Section (Inside Dashed Line) Shown in Typical Connection. Form of ZIN Determines Response Types at the Two Outputs (See Table)
5
LTC1562-2
PIN FUNCTIONS
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INV A, INV B, INV C, INV D: Each of the INV pins is a virtual­ground summing point for the corresponding 2nd order section. For each section, all three external components ZIN, R2, RQ connect to the INV pin as shown in Figure 3 and described further in the Applications Information. Note that the INV pins are sensitive internal nodes of the filter and will readily receive any unintended signals that are capacitively coupled into them. Capacitance to the INV nodes will also affect the frequency response of the filter sections. For these reasons, printed circuit connections to the INV pins must be kept as short as possible, less than one inch (2.5cm) total and surrounded by a ground plane.
V1 A, V1 B, V1 C, V1 D: Output Pins. Provide a bandpass, highpass or other response depending on external cir­cuitry (see Applications Information section). Each V1 pin
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BLOCK DIAGRA
Overall Block Diagram Showing Four 3-Terminal 2nd Order Sections
also connects to the RQ resistor of the corresponding 2nd order filter section (see Figure 3 and Applications Informa­tion). Each output is designed to drive a nominal net load of 4k and 30pF, which includes the loading due to the external RQ. Distortion performance improves when the outputs are loaded as lightly as possible.
V2 A, V2 B, V2 C, V2 D: Output Pins. Provide a lowpass, bandpass or other response depending on external cir­cuitry (see Applications Information section). Each V2 pin also connects to the R2 resistor of the corresponding 2nd order filter section (see Figure 3 and Applications Informa­tion). Each output is designed to drive a nominal net load of 4k and 30pF, which includes the loading due to the external R2. Distortion performance improves when the outputs are loaded as lightly as possible.
SHDN
INV V1 V2
AB
+
+
V
V
V
SHUTDOWN SWITCH
R
R
SHUTDOWN SWITCH
V
AGND
+
DC
+
INV V1 V2 INV V1 V2
C
∫∫
2ND ORDER SECTIONS
∫∫
CC
INV V1 V2
+
+
C
1562-2 BD
6
LTC1562-2
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APPLICATIONS INFORMATION
The LTC1562-2 contains four matched, 2nd order, 3-terminal universal continuous-time filter blocks, each with a virtual-ground input node (INV) and two rail-to-rail outputs (V1, V2). In the most basic application, one such block and three external resistors provide 2nd order lowpass and bandpass responses simultaneously (Figure 3, with a resistor for ZIN). The three external resistors program fO, Q and gain. A combination of internal preci­sion components and external resistor R2 sets the center frequency fO of each 2nd order block. The LTC1562-2 is trimmed at manufacture so that fO will be 200kHz ±0.5% if the external resistor R2 is exactly 7958. The LTC1562­2 is a higher frequency, pin compatible variant of the LTC1562, with different internal R and C values and higher speed amplifiers.
However, lowpass/bandpass filtering is only one specific application for the 2nd order building blocks in the LTC1562-2. Highpass response results if the external impedance ZIN in Figure 3 becomes a capacitor CIN (whose value sets only gain, not critical frequencies) as described below. Responses with zeroes (e.g, elliptic or notch responses) are available by feedforward connections with multiple 2nd order blocks (see Typical Applicatons). More­over, the virtual-ground input gives each 2nd order sec­tion the built-in capability for analog operations such as gain (preamplification), summing and weighting of mul­tiple inputs, or accepting current or charge signals di­rectly. These Operational FilterTM frequency-selective
building blocks are nearly as versatile as operational amplifiers.
The user who is not copying exactly one of the Typical Applications schematics shown later in this data sheet is urged to read carefully the next few sections through at least Signal Swings, for orientation about the LTC1562-2, before attempting to design custom application circuits. Also available free from LTC, and recommended for de­signing custom filters, is the general-purpose analog filter design software FilterCADTM for Windows®. This software includes tools for finding the necessary f0, Q and gain parameters to meet target filter specifications such as frequency response.
Setting fO and Q
Each of the four 2nd order sections in the LTC1562-2 can be programmed for a standard filter function (lowpass, bandpass or highpass) when configured as in Figure 3 with a resistor or capacitor for ZIN. These transfer func­tions all have the same denominator, a complex pole pair with center frequency ωO = 2πfO and quality parameter Q. (The numerators depend on the response type as de­scribed below.) External resistors R2 and RQ set fO and Q as follows:
f
==
O
==
Q
R1 = 7958 and C = 100pF are internal to the LTC1562-2 while R2 and RQ are external.
A typical design procedure proceeds from the desired f and Q as follows, using finite-tolerance fixed resistors. First find the ideal R2 value for the desired fO:
R Ideal
2
()
Then select a practical R2 value from the available finite­tolerance resistors. Use the actual R2 value to find the desired RQ, which also will be approximated with finite tolerance:
RQ R
= ()7958 2
Q
The fO range is approximately 20kHz to 300kHz, limited mainly by the magnitudes of the external resistors required. As shown above, R2 varies with the inverse square of fO. This relationship desensitizes fO to R2’s tolerance (by a factor of 2 incrementally), but it also implies that R2 has a wider range than fO. (RQ and RIN also
Operational Filter and FilterCAD are trademarks of Linear Technology Corporation. Windows is a registered trademark of Microsoft Corporation.
1
π ()
CRR
212
R
QQQ
12
()
RR
200
=
f
7958
R
7958 2
()
2
kHz
O
7958
()
200
kHz
()
2
R
R
=
R
200
2
R
f
O
kHz
 
O
7
LTC1562-2
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APPLICATIONS INFORMATION
tend to scale with R2.) 4k, heavily loading the outputs of the LTC1562-2 and leading to increased THD and other effects. At the other extreme, a lower fO limit of 20kHz reflects an arbitrary upper resistor limit of 1M. The LTC1562-2’s MOS input circuitry can accommodate higher resistor values than this, but junc
tion leakage current from the input protection
circuitry may cause DC errors. The 2nd order transfer functions HLP(s), HBP(s) and
HHP(s) (below) are all inverting so that, for example, at DC the lowpass gain is –HL. If two such sections are cas­caded, these phase inversions cancel. Thus, the filter in the application schematic on the first page of this data sheet is a dual DC preserving, noninverting, rail-to-rail lowpass filter, approximating two “straight wires with frequency selectivity.”
Figure 4 shows further details of 2nd order lowpass, bandpass and highpass responses. Configurations to obtain these responses appear in the next three sections.
At high fO these resistors fall below
Basic Lowpass
When ZIN of Figure 3 is a resistor of value RIN, a standard 2nd order lowpass transfer function results from VIN to V2 (Figure 5):
2
Vs
2
()
Vs
()
IN
HL = R2/R
Hs
()
==
LP
is the DC gain magnitude. (Note that the
IN
2
sQs
+
ω
H
LO
2
ωω
()
OO
+
/
transfer function includes a sign inversion.) Parameters
R
IN
V
IN
R2R
Q
V
OUT
INV V1
2nd ORDER
1/4 LTC1562-2
Figure 5. Basic Lowpass Configuration
V2
1562 F05
0.707 H
GAIN (V/V)
BANDPASS RESPONSE
H
B
B
f
f
f
L
O
f (LOG SCALE)
f
O
Q
==
ff
HL
–121
ff
=
L
O
 
=+
ff
HO
H
;
fff
OLH
2
+
+
2
QQ
2
121
QQ
+
2
 
1
 
1
0.707 H
GAIN (V/V)
H
P
H
L L
LOWPASS RESPONSE
1
ff
=
CO
1
=
ff
PO
 
=
HH
PL
111
Q
f
f
P
f (LOG SCALE)
1
––
2
QQ
1
2
2
Q
1
C
+
22
 
  
2
4
Q
2
1
1
1
+
2
0.707 H
GAIN (V/V)
H
P
H
H
H
HIGHPASS RESPONSE
ff
=
CO
 
1
=
ff
PO
 
=
HH
PH
111
Q
f
f
C
P
f (LOG SCALE)
1
1
+
––
22
2
QQ
1
1
2
2
Q
 
1
  
2
4
Q
2
1
1
2
1562-2 F04
1
 
1
+
 
Figure 4. Characteristics of Standard 2nd Order Filter Responses
8
LTC1562-2
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APPLICATIONS INFORMATION
ωO (= 2πfO) and Q are set by R2 and RQ as above. For a 2nd
order lowpass response the gain magnitude becomes QH at frequency fO, and for Q > 0.707, a gain peak occurs at a frequency below fO, as shown in Figure 4.
Basic Bandpass
There are two different ways to obtain a bandpass function in Figure 3, both of which give the following transfer function form:
ω
HQs
–/
()
Hs
()
BP
=
sQs
BO
2
+
ωω
/
()
OO
2
+
The value of the gain parameter HB depends on the circuit configuration as follows. When ZIN is a resistor of value RIN, a bandpass response results at the V1 output (Figure 6a) with a gain parameter HB = RQ/RIN. Alternatively, a capacitor of value CIN gives a bandpass response at the V2 output (Figure 6b), with the same HBP(s) expression, and the gain parameter now HB = (RQ/7958)(CIN/100pF). This transfer function has a gain magnitude of HB (its peak value) when the frequency equals fO and has a phase shift of 180° at that frequency. Q measures the sharpness of the peak (the ratio of fO to – 3dB bandwidth) in a 2nd order bandpass function, as illustrated in Figure 4. ωO = 2πfO and Q are set by R2 and RQ as described previously in Setting fO and Q.
C
R
IN
V
IN
R
R2
Q
V
OUT
INV V1
2nd ORDER
1/4 LTC1562-2
Figure 6. Basic Bandpass Configurations
V2
IN
V
IN
Q
INV V1
2nd ORDER
1/4 LTC1562-2
(b) Capacitive Input(a) Resistive Input
V2
Basic Highpass
When ZIN of Figure 3 is a capacitor of value CIN, a highpass response appears at the V1 output (Figure 7).
Vs
1
()
Hs
==
Vs
()
IN
HP
()
2
sQs
+
()
2
Hs
H
2
+ωω
/
OO
R2R
V
OUT
1562-2 F06
L
HH = CIN/100pF is the highpass gain parameter. Param­eters ωO = 2πfO and Q are set by R2 and RQ as above. For a 2nd order highpass response the gain magnitude at frequency fO is QHH, and approaches HH at high frequen­cies (f >> fO). For Q > 0.707, a gain peak occurs at a frequency above fO as shown in Figure 4. The transfer function includes a sign inversion.
C
IN
V
IN
R2R
Q
V
OUT
INV V1
2nd ORDER
1/4 LTC1562-2
Figure 7. Basic Highpass Configuration
V2
1562-2 F07
Signal Swings
The V1 and V2 outputs are capable of swinging to within roughly 100mV of each power supply rail. As with any analog filter, the signal swings in each 2nd order section must be scaled so that no output overloads (saturates), even if it is not used as a signal output. (Filter literature often calls this the “dynamics” issue.) When an unused output has a larger swing than the output of interest, the section’s gain or input amplitude must be scaled down to avoid overdriving the unused output. The LTC1562-2 can still be used with high performance in such situations as long as this constraint is followed.
For an LTC1562-2 section as in Figure 3, the magnitudes of the two outputs V2 and V1, at a frequency ω = 2πf, have the ratio,
|()|
2
|()|
Vj
1
ω
()Vj
kHz
200ω
=
f
regardless of the details of ZIN. Therefore, an input fre­quency above or below 200kHz produces larger output amplitude at V1 or V2, respectively. This relationship can guide the choice of filter design for maximum dynamic range in situations (such as bandpass responses) where there is more than one way to achieve the desired fre­quency response with an LTC1562-2 section.
9
LTC1562-2
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APPLICATIONS INFORMATION
Because 2nd order sections with Q 1 have response peaks near fO, the gain ratio above implies some rules of thumb:
fO < 200kHz V2 tends to have the larger swing fO > 200kHz 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 fO < 200kHz
Bandpass response (capacitor input, V2 output, Figure 6b) with fO < 200kHz
Bandpass response (resistor input, V1 output, Figure 6a) with fO > 200kHz
Highpass response (capacitor input, V1 output, Figure
7) with fO > 200kHz
The LTC1562, a lower frequency variant of the LTC1562 -2, has a design center fO of 100kHz compared to 200kHz in the LTC1562-2. The rules summarized above apply to the LTC1562 but with 100kHz replacing the 200kHz limits. Thus, an LTC1562 highpass filter section with fO above 100kHz automatically satisfies the desirable condition of the unused output carrying the smaller signal swing.
R
IN
7.87k
V
IN
Figure 8. 200kHz, Q = 0.7 Lowpass Circuit for Distortion vs Loading Test
R
Q
5.49k
INV V1
2nd ORDER
1/4 LTC1562-2
R2
7.87k
V2
C
L
30pF
V
OUT
R
L
(EXTERNAL LOAD RESISTANCE)
1562-2 F08
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 ZIN 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, fO = 200kHz), to 114dB.
Input Voltages Beyond the Power Supplies
Properly used, the LTC1562-2 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 LTC1562-2 fundamentally responds to input
current
and the external voltage VIN appears only
across the external impedance ZIN in Figure 3. To accept beyond-the-supply input voltages, it is impor-
tant to keep the LTC1562-2 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 LTC1562-2 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 imped­ance of ZIN in Figure 3) to reduce output swings.
Low Level or Wide Range Input Signals
The LTC1562-2 contains a built-in capability for low noise amplification of low level signals. The ZIN 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 99dB above the noise level. If low level inputs
10
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 (VIN/ZIN in Figure 3) should be limited by design to less than 1mA for good distortion performance. On the other hand, the input voltage VIN appears across the
LTC1562-2
1 2
1 2
4
2
CCCC
P P IN P
±
()
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APPLICATIONS INFORMATION
external component ZIN, 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 ZIN 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 frequency:
f
=
P
where CT is the new external capacitor and RP is the parallel combination of the two input resistors R R
. This pair of resistors must normally have a pre-
INB
scribed series total value RIN to set the filter’s gain as described above. The parallel value RP can however be set arbitrarily (to RIN/4 or less) which allows choosing a convenient standard capacitor value for CT and fine tuning the new pole with RP.
RC
π12
PT
INA
and
A practical limitation of this technique is that the CT capaci­tor 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 larger of the two should be placed in the R
and RINB are unequal, preferably the
INA
position.
INB
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 CIN into two series parts C
INA
and C
, with a resistor RT to ground
INB
between them (Figure 10). This adds an extra 1st order highpass corner with a zero at DC and a pole at the frequency:
f
=
P
where CP = C
RC
π12
TP
INA
+ C
is the parallel combination of the
INB
two capacitors. At the same time, the total series capaci­tance CIN will control the filter’s gain parameter (HH in Basic Highpass). For a given series value CIN, the parallel value CP can still be set arbitrarily (to 4CIN or greater).
R
V
INA
IN
Figure 9. Lowpass “T” Input Circuit
R
C
T
INB
INV V1
2nd ORDER
1/4 LTC1562-2
R2R
Q
V2
1562-2 F09
The procedure therefore is to begin with the target extra pole frequency fP. Determine the series value RIN from the gain requirement. Select a capacitor value CT such that R
P
= 1/(2πfPCT) is no greater than RIN/4, and then choose R
and R
INA
value RP and the series value RIN. Such R
that will simultaneously have the parallel
INB
and R
INA
INB
can
be found directly from the expression:
1
RRRR
±
IN IN IN P
2
2
2
1
4
()
C
INA
V
IN
Figure 10. Highpass “T” Input Circuit
C
INB
R
T
INV V1
2nd ORDER
1/4 LTC1562-2
R2R
Q
V2
1562-2 F10
The procedure then is to begin with the target corner (pole) frequency fP. Determine the series value CIN from the gain requirement (for example, CIN = HH(100pF) for a high­pass). Select a resistor value RT such that CP = 1/(2πRTfP) is at least 4CIN, and select C
INA
and C
that will simulta-
INB
neously have the parallel value CP and the series value CIN. Such C
and C
INA
can be found directly from the
INB
expression:
11
LTC1562-2
This procedure can be iterated, adjusting the value of RT, to find convenient values for C
INA
and C
since resistor
INB
values are generally available in finer increments than capacitor values.
LTC1562/LTC1562-2 Demo Board
The LTC demonstration board DC266 is assembled with an LTC1562 or LTC1562-2 in a 20-pin SSOP package and power supply decoupling capacitors. Jumpers on the board configure the filter chip for dual or single supply operation and power shutdown. Pads for surface mount
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TYPICAL APPLICATIONS
175kHz 8th Order Elliptic Highpass Filter
C
82pF
IN2
R
20.5k
IN2
C
220pF
IN1
V
IN
5V
R
9.09k
Q1
R21 7.15k
0.1µF
R23 11.3k
R
59k
Q3
*V– ALSO AT PINS 4, 7, 14 & 17 ALL RESISTORS 1% METAL FILM ALL CAPACITORS 5% STANDARD VALUES
1
INV B
2
V1 B
3
V2 B
5
+
LTC1562-2
V
6
SHDN
8
V2 A
9
V1 A
10
INV A
40.2k
R
IN4
INV C
V1 C
V2 C
AGND
V2 D
V1 D
INV D
20
R
100pF
Q2
R22 10k
R24 4.02k
3.24k
R
Q4
19
18
16
V
15
13
12
11
C
IN4
C
R
26.7k
resistors and capacitors are provided to build application­specific filters. Also provided are terminals for inputs, outputs and power supplies.
Notches and Elliptic Responses
Further circuit techniques appear in the LTC1562 final data sheet under the heading “Notches and Elliptic Re­sponses.” These techniques are directly applicable to the LTC1562-2 with the substitution of the different values for the internal components R1 and C. In the LTC1562-2, R1 is 7958 and C is 100pF.
47pF
IN3
Amplitude Response
IN3
45.3k
0.1µF
1562-2 TA03a
–5V*
V
OUT
10
0 –10 –20 –30 –40
GAIN (dB)
–50 –60 –70 –80 –90
50k 900k
200k
FREQUENCY (Hz)
1562-2 TA03b
12
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TYPICAL APPLICATIONS
Dual 5th Order 170kHz Elliptic Highpass Filter, Single 5V Supply
C
C
IN1
I1
82pF
100pF
V
IN1
R
I1
2k
5V
100pF
V
IN2
0.1µF
C
C
IN3
I3
82pF
R
I3
2k
43.2k
R
Q1
R21 11.5k
R23 11.5k
43.2k
R
Q3
LTC1562-2
220pF
C
IN2
R
15k
IN2
V
OUT1
*
V
OUT2
1562-2 TA05a
1
INV B
2
V1 B
3
V2 B
5
+
V
LTC1562-2
6
SHDN
8
V2 A
9
V1 A
10
INV A
R
15k
IN4
INV C
V1 C
V2 C
AGND
V2 D
V1 D
INV D
20
R
7.68k
Q2
19
R22 6.34k
18
16
V
15
13
12
11
R24 6.34k
R
Q4
C
IN4
7.68k
220pF
+
1µF
*GROUND ALSO AT PINS 4, 7, 14 & 17
Amplitude Response
10
0 –10 –20 –30 –40
GAIN (dB)
–50 –60 –70 –80 –90
10k
FREQUENCY (Hz)
100k 1M
1562-2 TA05b
13
LTC1562-2
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TYPICAL APPLICATIONS
100kHz 8th Order Bandpass Linear Phase, –3dB BW = f
C
10pF
IN1
V
IN
5V
R
Q1
R21 31.6k
0.1µF
R23 35.7k
R
142k
Q3
C
IN3
10pF
*V– ALSO AT PINS 4, 7, 14 & 17
78.7k
1
INV B
2
V1 B
3
V2 B
5
+
V
6
SHDN
8
V2 A
9
V1 A
10
INV A
LTC1562-2
221k
R
IN4
INV C
V1 C
V2 C
V
AGND
V2 D
V1 D
INV D
R
IN2
20
R
19
R22 30.1k
18
16
15
R24 28.7k
13
R
12
11
Frequency Response
10
0
–10 60
–20
–30
–40
–50
AMPLITUDE RESPONSE (dB)
–60
–70
60k
80k 100k 140k
FREQUENCY (Hz)
AMPLITUDE RESPONSE
GROUP
DELAY
120k
1562-2 TA06b
Q2
Q4
178k
76.8k
0.1µF
118k
0
CENTER
1562-2 TA6a
GROUP DELAY (µs)
–5V*
V
OUT
/10
14
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FREQUENCY (kHz)
10
–100
GAIN (dB)
–60 –70 –80 –90
–50
–40
–30
–20
–10
100 1000
1562-2 TA07b
10
0
TYPICAL APPLICATIONS
LTC1562-2 9th Order 200kHz Lowpass Elliptic Filter
R
7.32k
IN2
R
R
IN1A
IN1B
4.02k
R
4.02k
IN3
RQ1 6.04k
180pF
R21 8.06k
0.1µF
R23 12.4k
RQ3 5.36k
10.2k
PINS 4, 7, 14, 17 (NOT SHOWN) ALSO CONNECT TO V ALL RESISTORS ARE ±1%, ALL CAPACITORS ARE ±5%
V
IN
1
INVB
2
V1B
3
V2B
5
+
V
LTC1562-2
6
SHDN
8
V2A
9
V1A
10
INVA
C
22pF
IN4
INVC
V1C
V2C
V
AGND
V2D
V1D
INVD
LTC1562-2
27pF
C
IN2
20
RQ2 13k
19
R22 6.04k
18
16
R24 6.04k
RQ4 14.3k
R
6.04k
IN4
1562-2 TA07a
0.1µF
15
13
12
11
–5V5V
V
OUT
Amplitude Response
PACKAGE DESCRIPTION
0.205 – 0.212** (5.20 – 5.38)
0.005 – 0.009 (0.13 – 0.22)
*
**
DIMENSIONS DO NOT INCLUDE MOLD FLASH. MOLD FLASH SHALL NOT EXCEED 0.006" (0.152mm) PER SIDE
DIMENSIONS DO NOT INCLUDE INTERLEAD FLASH. INTERLEAD FLASH SHALL NOT EXCEED 0.010" (0.254mm) PER SIDE
0.022 – 0.037 (0.55 – 0.95)
Information furnished by Linear Technology Corporation is believed to be accurate and reliable. However, no responsibility is assumed for its use. Linear Technology Corporation makes no represen­tation that the interconnection of its circuits as described herein will not infringe on existing patent rights.
U
Dimensions in inches (millimeters) unless otherwise noted.
G Package
20-Lead Plastic SSOP (0.209)
(LTC DWG # 05-08-1640)
0.278 – 0.289* (7.07 – 7.33)
1718 14 13 12 1115161920
12345678910
° – 8°
0
0.0256 (0.65)
BSC
0.010 – 0.015 (0.25 – 0.38)
0.002 – 0.008 (0.05 – 0.21)
0.301 – 0.311 (7.65 – 7.90)
0.068 – 0.078 (1.73 – 1.99)
G20 SSOP 0595
15
LTC1562-2
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TYPICAL APPLICATIONS
256kHz Linear Phase 6th Order Lowpass Filter with a 2nd Order
V
IN
5V
0.1µF
R23 4.12k
R
R
4.12k
Allpass Phase Equalizer, Single Supply
6.19k
R
FF1
R
1.54k
LTC1562-2
R
4.12k
IN4
B1
INV C
V1 C
V2 C
AGND
V2 D
V1 D
INV D
20
19
18
16
V
15
13
12
11
C
IN4
R
IN1
7.5k
R
3.24k
Q1
R21 6.81k
7.32k
Q3
IN3
1
INV B
2
V1 B
3
V2 B
5
+
V
6
SHDN
8
V2 A
9
V1 A
10
INV A
R
4.12k
Q2
R22 6.19k
R24 4.12k
R
7.32k
Q4
22pF 5%
+
1µF
*
V
OUT
Amplitude Response
10
0
–10
–20
–30
–40
GAIN (dB)
–50
–60
–70
–80
10k 1M
100k
FREQUENCY (Hz)
*GROUND ALSO AT PINS 4, 7, 14 & 17 ALL RESISTORS 1% METAL FILM
1562-2 TA04b
1562-2 TA04a
Group Delay Response
8
7
6
5
4
DELAY (µs)
3
2
1
0
50 100 150 200 250 300
FREQUENCY (kHz)
350 400
1562-2 TA04c
RELATED PARTS
PART NUMBER DESCRIPTION COMMENTS
LTC1068-X Quad 2-Pole Switched Capacitor Building Block Clock Tuned LTC1560-1 5-Pole Elliptic Lowpass, fC = 1MHz/0.5MHz No External Components, SO8 LTC1562 Quad 2-Pole Active RC, 10kHz to 150kHz Same Pinout as LTC1562-2
15622f LT/TP 0599 4K • PRINTED IN USA
LINEAR TECHNOLOGY CORPORATION 1998
16
Linear T echnology Corporation
1630 McCarthy Blvd., Milpitas, CA 95035-7417
(408) 432-1900 ● FAX: (408) 434-0507
www.linear-tech.com
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