LINEAR TECHNOLOGY LT1813 Technical data

Application Note 79
INPUT
OUTPUT
AN79 F01
SETTLING TIME
SLEW
TIME
RING TIME
ALLOWABLE
OUTPUT
ERROR
BAND
DELAY TIME
September 1999
30 Nanosecond Settling Time Measurement for a Precision Wideband Amplifier
Quantifying Prompt Certainty
Jim Williams
Introduction
Settling Time Defined
Amplifier DC specifications are relatively easy to verify. Measurement techniques are well understood, albeit often tedious. AC specifications require more sophisticated approaches to produce reliable information. In particular, amplifier settling time is extraordinarily difficult to deter­mine. Settling time is the elapsed time from input applica­tion until the output arrives at and remains within a specified error band around the final value. It is usually specified for a full-scale transition. Figure 1 shows that settling time has three distinct components. The
time
is small and is almost entirely due to amplifier
delay
propagation delay. During this interval there is no output movement. During highest possible speed towards the final value.
slew time
the amplifier moves at its
Ring time
defines the region where the amplifier recovers from slewing and ceases movement within some defined error band. There is normally a trade-off between slew and ring time. Fast slewing amplifiers generally have extended ring times, complicating amplifier choice and frequency com-
Figure 1. Settling Time Components Include Delay, Slew and Ring Times. Fast Amplifiers Reduce Slew Time, Although Longer Ring Time Usually Results. Delay Time is Normally a Small Term
pensation. Additionally, the architecture of very fast ampli­fiers usually dictates trade-offs which degrade DC error
1
terms. Measuring anything at any speed requires care. Dynamic
measurement is particularly challenging. Reliable nano­second region settling time measurement constitutes a high order difficulty problem requiring exceptional care in approach and experimental technique.
, LTC and LT are registered trademarks of Linear Technology Corporation.
Note 1: This issue is treated in detail in latter portions of the text. Also see Appendix D “Practical Considerations for Amplifier Compensation.
Note 2: The approach used for settling time measurement and its description borrows heavily from a previous publication. See Reference 1.
2
AN79-1
Application Note 79
A PRECISION WIDEBAND DUAL AMPLIFIER WITH 30ns SETTLING TIME
Until recently, wideband amplifiers provided speed, but sacrificed precision, power consumption and, often, settling time. The LT®1813 dual op amp does not require this compromise. It features low offset voltage and bias current and high DC gain while operating at low supply current. Settling time is 30ns to 0.1% for a 5V step. The output will drive a 100 load to ±3.5V with ±5V supplies, and up to 100pF capacitive loading is permissible. The table below provides short form specifications.
LT1813 Short Form Specifications
CHARACTERISTIC SPECIFICATION
Offset Voltage 0.5mV Offset Voltage vs Temperature 10µV/°C Bias Current 1.5µA DC Gain 3000 Noise Voltage 8nV/√Hz Output Current 60mA Slew Rate 750V/µs Gain-Bandwidth 100MHz Delay 2.5ns Settling Time 30ns/0.1% Supply Current 3mA per Amplifier
Considerations for Measuring Nanosecond Region Settling Time
Historically, settling time has been measured with circuits similar to that in Figure 2. The circuit uses the “false sum node” technique. The resistors and amplifier form a bridge type network. Assuming ideal resistors, the amplifier output will step to –VIN when the input is driven. During slew, the settle node is bounded by the diodes, limiting voltage excursion. When settling occurs, the oscilloscope probe voltage should be zero. Note that the resistor divider’s attenuation means the probe’s output will be one­half of the actual settled voltage.
AN79-2
INPUT STEP TO OSCILLOSCOPE
POSITIVE INPUT
FROM PULSE
GENERATOR
Figure 2. Popular Summing Scheme for Settling Time Measurement Provides Misleading Results. Pulse Generator Posttransition Aberrations Appear at Output. 10× Oscilloscope Overdrive Occurs. Displayed Information Is Meaningless
AMPLIFIER
+
+V
REF
OUTPUT TO OSCILLOSCOPE
AN79 F02
Application Note 79
active 1× FET probe will work, but another issue remains. The clamp diodes at the settle node are intended to reduce
swing during amplifier slewing, preventing excessive os­cilloscope overdrive. Unfortunately, oscilloscope overdrive recovery characteristics vary widely among different types and are not usually specified. The Schottky diodes’ 400mV drop means the oscilloscope will undergo an unaccept­able overload, bringing displayed results into question.
3
At 0.1% resolution (5mV at the output—2.5mV at the oscilloscope), the oscilloscope typically undergoes a 10× overdrive at 10mV/DIV, and the desired 2.5mV baseline is unattainable. At nanosecond speeds, the measurement becomes hopeless with this arrangement. There is clearly no chance of measurement integrity.
The preceding discussion indicates that measuring ampli­fier settling time requires an oscilloscope that is somehow immune to overdrive and a “flat-top” pulse generator. These become the central issues in wideband amplifier settling time measurement.
The only oscilloscope technology that offers inherent overdrive immunity is the classical sampling ‘scope.
4
Unfortunately, these instruments are no longer manufac­tured (although still available on the secondary market). It is possible, however, to construct a circuit that borrows the overload advantages of classical sampling ‘scope technology. Additionally, the circuit can be endowed with
features particularly suited for measuring nanosecond range settling time.
The “flat-top” pulse generator requirement can be avoided by switching current, rather than voltage. It is much easier to gate a quickly settling current into the amplifier’s summing node than to control a voltage. This makes the input pulse generator’s job easier, although it still must have a rise time of 1 nanosecond or less to avoid measure­ment errors.
5
Practical Nanosecond Settling Time Measurement
Figure 3 is a conceptual diagram of a settling time mea­surement circuit. This figure shares attributes with Figure␣ 2, although some new features appear. In this case, the oscilloscope is connected to the settle point by a
Note 3: For a discussion of oscilloscope overdrive considerations, see Appendix A, “Evaluating Oscilloscope Overdrive Performance.”
Note 4: Classical sampling oscilloscopes should not be confused with modern era digital sampling ‘scopes that have overdrive restrictions. See Appendix A, “Evaluating Oscilloscope Overload Performance” for comparisons of various type ‘scopes with respect to overdrive. For detailed discussion of classical sampling ‘scope operation see References 16 through 19 and 22 through 24. Reference 17 is noteworthy; it is the most clearly written, concise explanation of classical sampling instruments the author is aware of—a 12-page jewel.
Note 5: Subnanosecond rise time pulse generators are considered in Appendix B, “Subnanosecond Rise Time Pulse Generators for the Rich and Poor.”
+V
CURRENT
SWITCH
INPUT FROM
PULSE
GENERATOR
Figure 3. Conceptual Arrangement is Insensitive to Pulse Generator Aberrations and Eliminates Oscilloscope Overdrive. Switch at Input Gates Current Step to Amplifer. Second Switch is Controlled by Delayed Pulse Generator, Preventing Oscilloscope from Monitoring Settle Node Until Settling is Nearly Complete
AMPLIFIER
+
SETTLE NODE
–V
REF
DELAYED
PULSE
GENERATOR
SWITCH
AN79 F03
OUTPUT TO OSCILLOSCOPE
AN79-3
Application Note 79
switch. The switch state is determined by a delayed pulse generator, which is triggered from the input pulse. The delayed pulse generator’s timing is arranged so that the switch does not close until settling is very nearly complete. In this way the incoming waveform is sampled in time, as well as amplitude. The oscilloscope is never subjected to overdrive—no off-screen activity ever occurs.
A switch at the amplifier’s summing junction is controlled by the input pulse. This switch gates current to the amplifier via a voltage-driven resistor. This eliminates the “flat-top” pulse generator requirement, although the switch must be fast and devoid of drive artifacts.
Figure 4 is a more complete representation of the settling time scheme. Figure 3’s blocks appear in greater detail and some new refinements show up. The amplifier sum­ming area is unchanged. Figure 3’s delayed pulse genera­tor has been split into two blocks; a delay and a pulse generator, both independently variable. The input step to the oscilloscope runs through a section that compensates for the propagation delay of the settling time measure-
ment path. The most striking new aspect of the diagram are the diode bridge switches. Borrowed from classical sampling oscilloscope circuitry, they are the key to the measurement. The diode bridge’s inherent balance elimi­nates charge injection based errors. It is far superior to other electronic switches in this character
istic. Any other high speed switch technology contributes excessive out­put spikes due to charge-based feedthrough. FET switches are not suitable because their gate-channel capacitance permits such feedthrough. This capacitance allows gate­drive artifacts to corrupt switching, defeating the switches purpose.
The diode bridge’s balance, combined with matched, low capacitance monolithic diodes and high speed switching, yields clean switching. The input-driven bridge switches current into the amplifier’s summing point very quickly, with settling inside a few nanoseconds. The diode clamp to ground prevents excessive bridge drive swings and ensures that input pulse characteristics are irrelevant.
TIME-CORRECTED INPUT STEP TO OSCILLOSCOPE
OUTPUT TO OSCILLOSCOPE SETTLE NODE
()
2
INPUT FROM
PULSE
GENERATOR
VARIABLE
DELAY
+V
–V
+V
REF
OUTPUT
AMPLIFIER
+
DELAYED
PULSE GENERATOR
0V TO 10V TRANSITION
SETTLE
R
NODE
R
VARIABLE WIDTH
PULSE GENERATOR
DELAY COMPENSATION
SAMPLING
BRIDGE DRIVER
×1
BRIDGE SWITCHING
CONTROL
SAMPLING
BRIDGE SWITCH
AN79 F04
Figure 4. Block Diagram of Settling Time Measurement Scheme. Diode Bridge Switches Input Current to Amplifier. Second Diode Bridge Switch Minimizes Switching Feedthrough, Preventing Oscilloscope Overdrive. Input Step Time Reference is Compensated for Test Circuit Delays
AN79-4
Application Note 79
Figure 5 details considerations for the output diode bridge switch. This bridge requires considerable attention to achieve desired performance. The monolithic bridge diodes tend to cancel each other’s temperature coeffi­cient—drift is only about 100µV/°C—but a DC balance is required to minimize offset.
DC balance is achieved by trimming the bridge on-current for zero input-output offset voltage. Two AC trims are required. The “AC balance” corrects for diode and layout capacitive imbalances and the “skew compensation” cor­rects for any timing asymmetry in the nominally comple­mentary bridge drive. These AC trims compensate small dynamic imbalances, minimizing parasitic bridge outputs.
ON
OFF
+
V
V
AC BALANCE
ALL DIODES = CA3039
MONOLITHIC ARRAY
INPUT
DC BALANCE
SKEW COMPENSATION
OUTPUT
AN79 F05
The input pulse triggers the C2-C3 based delayed pulse generator. This circuitry is arranged to produce a delayed (controllable by the 10k potentiometer) pulse whose width (controllable by the 2k potentiometer) sets diode bridge on-time. If the delay is set appropriately, the oscilloscope will not see any input until settling is nearly complete, eliminating overdrive. The sample window width is ad­justed so that all remaining settling activity is observable. In this way the oscilloscope’s output is reliable and mean­ingful data may be taken. The delayed generator’s output is level shifted by the Q1-Q4 transistors, providing comple­mentary switching drive to the bridge. The actual switch­ing transistors, Q1-Q2, are UHF types, permitting true differential bridge switching with less than 1ns of time
7
skew. Figure 7 shows circuit waveforms. Trace A is the time-
corrected input pulse, trace B the amplifier output, trace C the sample gate and trace D the settling time output. When the sample gate goes low, the bridge switches cleanly, and the last 10mV of slew are easily observed. Ring time is also clearly visible, and the amplifier settles nicely to final value. When the sample gate goes high, the bridge switches off, with only millivolts of feedthrough. Note that there is no off-screen activity at any time—the oscilloscope is never subjected to overdrive.
+
V
V ON
OFF
Figure 5. Diode Sampling Bridge Switch Trims Include AC and DC Balance and Switch Drive Timing Skew
Detailed Settling Time Circuitry
Figure 6 is a detailed schematic of the settling time measurement circuitry. The input pulse switches the input bridge and is also routed to the oscilloscope via a delay­compensation network. The delay network, composed of a fast comparator and an adjustable RC network, compen­sates the oscilloscope’s input step signal for the 6ns delay through the circuit’s measurement path.6 The amplifier’s output is compared against the 5V reference via the summing resistors. The 5V reference also furnishes the bridge input current, making the measurement ratiometric. The –5V reference supply pulls a current from the sum­ming point, allowing the amplifier a 5V step from 2.5V to –2.5V. The clamped settle node is unloaded by A1, which drives the sampling bridge.
Note 6: See Appendix C, “Measuring and Compensating Settling Circuit Delay.”
Note 7: The bridge switching scheme was developed at LTC by George Feliz.
Note 8: In this and all following photos, settling time is measured from the onset of the time-corrected input pulse. Additionally, settling signal amplitude is calibrated with respect to the amplifier, not the sampling bridge output. This eliminates ambiguity introduced by the summing resistor’s ÷ 2 ratio.
AN79-5
Application Note 79
+
AC
BALANCE
2.5k
TIME-CORRECTED
INPUT STEP TO
OSCILLOSCOPE
VIA HP-1120A
FET PROBE
SAMPLING BRIDGE
1k
SAMPLING
BRIDGE
DRIVER
8
1.1k
Q1
Q4
11
10
13
8
7
96
Q3
5pF
3pF
0.1µF
10pF
10µF
510
100
100
2k
SAMPLE
WINDOW
WIDTH
10pF
Q2
CA3039
ARRAY
13
–5V
–5V
–5V
SKEW COMP
2.5k
2
7
11
10
4
3
5
2.2k
1.1k
5V
2.2k
10µF
1µF
0.1µF
470
560
51
820 51
680
500
BASELINE
ZERO
5V
OUTPUT TO
OSCILLOSCOPE
VIA HP-1120A
FET PROBE
+
+
A1
LT1813
+
C1
1/2 LT1720
LT1813
0.1µF10µF
+
: 1N4148
: 1N5711
DIODE BRIDGES: HARRIS CA3039M
* = 1% FILM RESISTOR
Q1, Q2: MRF-501
Q3, Q4: LM3045 ARRAY
USE IN-LINE COAXIAL TERMINATOR FOR
PULSE GENERATOR INPUT. DO NOT MOUNT
50 RESISTOR ON BOARD
DERIVE 5V AND –5V SUPPLIES FROM
±15V.
USE LT317A FOR 5V, LT1175-5 FOR –5V
CONSTRUCTION IS CRITICAL—SEE TEXT
+
1µF
+
5V
DELAY COMPENSATION = 6ns
2k
2k
SAMPLE DELAY/WINDOW GENERATOR
SAMPLE GATE LINE
5V
3.9pF
DELAY
COMP
2k
2k
1k
10k
SAMPLE
DELAY
AN79 F06
909Ω*
499Ω*
2pF TO 8pF (SEE TEXT)
200
SETTLE
NODE
SETTLE
NODE
ZERO
1k*
7
8
2pF
11
5V
CURRENT
SWITCH
–5V
AMPLIFIER
UNDER TEST
–5V
430Ω*
1k*
270
50
2
10
4
CA3039
ARRAY
PULSE
GENERATOR
INPUT
3
5
+
C3
1/2 LT1720
+
C2
+
13
–5V
INLINE
TERMINATION
(SEE TEXT
AND NOTES)
1/2 LT1720
430Ω*
ttention to Layout
AN79-6
Figure 6. Detailed Schematic of Settling Time Measurement Circuit Closely Follows Block Diagram. Optimum Performance Requires A
Application Note 79
A = 2V/DIV B = 2V/DIV
C = 5V/DIV
D = 20mV/DIV
20ns/DIV
Figure 7. Settling Time Circuit Waveforms Include Time­Corrected Input Pulse (Trace A), Amplifier-Under-Test Output (Trace B), Sample Gate (Trace C) and Settling Time Output (Trace D). Sample Gate Window’s Delay and Width are Variable
A = 2V/DIV
B = 5mV/DIV
AN79 F07
A = 2V/DIV
B = 5mV/DIV
10ns/DIV
Figure 9. Settling Time Circuit’s Output (Trace B) with Unadjusted Sampling Bridge AC and DC Trims. Settle Node is Grounded for This Test. Excessive Switch Drive Feedthrough and Baseline Offset are Present. Trace A is the Sample Gate
A = 2V/DIV
B = 5mV/DIV
10ns/DIV
AN79 F09
AN79 F10
5ns/DIV AN79 F08
Figure 8. Expanded Vertical and Horizontal Scales Show 30ns Amplifier Settling Within 5mV (Trace B). Trace A is Time-Corrected Input Step
Trace A is the input pulse and trace B the settle signal output. With the amplifier disabled and the settle node grounded, the output should (theoretically) always be zero. The photo shows this is not the case for an un­trimmed bridge. AC and DC errors are present. The sample gate’s transitions cause large swings. Additionally, the output shows significant DC offset error during the sam­pling interval. Adjusting the AC balance and skew compen­sation minimizes the switching induced transients. The DC offset is adjusted out with the baseline zero trim. Figure 10 shows the results after making these adjustments. All switching related activity is minimized and offset error reduced to unreadable levels. Once this level of perfor­mance has been achieved, the circuit is nearly ready for use.9 Unground the settle node and restore the current switch and resistor connections to the amplifier. Any
Figure 10. Settling Time Circuit’s Output (Trace B) with Sampling Bridge Trimmed. As in Figure 9, Settle Node is Grounded for This Test. Switch Drive Feedthrough and Baseline Offset are Minimized. Trace A is the Sample Gate
further differences between pre- and postsettling baseline are corrected with the “settle node zero” trim.
Using the Sampling-Based Settling Time Circuit
Figures 11 and 12 underscore the importance of position­ing the sampling window properly in time. In Figure 10 the sample gate delay initiates the sample window (trace A) too early and the residue amplifier’s output (trace B) overdrives the oscilloscope when sampling commences. Figure 12 is better, with no off-screen activity. All amplifier settling residue is well inside the screen boundaries.
Note 9: Achieving this level of performance also depends on layout. The circuit’s construction involves a number of subtleties and is absolutely crucial. Please see Appendix E, “Breadboarding, Layout and Connection Techniques.”
AN79-7
Application Note 79
A = 5V/DIV
B = 5mV/DIV
10ns/DIV
Figure 11. Oscilloscope Display with Inadequate Sample Gate Delay. Sample Window (Trace A) Occurs Too Early, Resulting in Off-Screen Activity in Settle Output (Trace B). Oscilloscope is Overdriven, Making Displayed Information Questionable
A = 5V/DIV
B = 5mV/DIV
10ns/DIV AN79 F12
Figure 12. Optimal Sample Gate Delay Positions Sampling Window (Trace A) So All Settle Output (Trace B) Information is Well Inside Screen Boundaries
AN79 F11
A = 5V/DIV
B = 10mV/DIV
10ns/DIV AN79 F13
Figure 13. Settling Profile with Inadequate Feedback Capacitance Shows Underdamped Response. Trace A is Time­Corrected Input Pulse. Trace B is Settling Residue Output. t
= 43ns
SETTLE
A = 5V/DIV
In general, it is good practice to “walk” the sampling window up to the last ten millivolts or so of amplifier slewing so that the onset of ring time is observable. The sampling based approach provides this capability and it is a very powerful measurement tool. Additionally, remem­ber that slower amplifiers may require extended delay and/ or sampling window times. This may necessitate larger capacitor values in the delayed pulse generator timing networks.
Compensation Capacitor Effects
The amplifier requires frequency compensation to get the best possible settling time.10 Figure 13 shows effects of
AN79-8
B = 10mV/DIV
10ns/DIV
Figure 14. Excessive Feedback Capacitance Overdamps Response. t
Note 10: This section discusses frequency compensation of the
amplifier within the context of sampling-based settling time measure­ment. As such, it is necessarily brief. Considerably more detail is available in Appendix D, “Practical Considerations for Amplifier Compensation.”
SETTLE
= 50ns
AN79 F14
Application Note 79
out to 50ns. The best case appears in Figure 15. This photo was taken with the compensation capacitor carefully cho­sen for the best possible settling time. Damping is tightly controlled and settling time goes down to 30ns.
A = 5V/DIV
B = 5mV/DIV
5ns/DIV AN79 F15
Figure 15. Optimal Feedback Capacitance Yields Tightly Damped Signature and Best Settling Time. Optimum Response Allows Expanded Horizontal and Vertical Scales. t
SETTLE
30ns
Verifying Results—Alternate Method
The sampling-based settling time circuit appears to be a useful measurement solution. How can its results be tested to ensure confidence? A good way is to make the same measurement with an alternate method and see if results agree. It was stated earlier that classical sampling oscilloscopes were inherently immune to overdrive.11 If this is so, why not utilize this feature and attempt settling time measurement directly at the clamped settle node? Figure 16 does this. Under these conditions, the sampling ‘scope12 is heavily overdriven, but is ostensibly immune to the insult. Figure 17 puts the sampling oscilloscope to the test. Trace A is the time corrected input pulse and trace B the settle signal. Despite a brutal overdrive, the ‘scope appears to respond cleanly, giving a very plausible settle signal presentation.
Note 11: See Appendix A, “Evaluating Oscilloscope Overdrive Performance,” for in-depth discussion. Note 12: Tektronix type 661 with 4S1 vertical and 5T3 timing plug-ins.
PULSE
GENERATOR
INPUT
* = 1% FILM RESISTOR
5V
100
50
: 1N5711
2pF
510
2k
DELAY
COMP
1k
2
8
2k
+
1µF
3.9pF
13
7
3
–5V–5V
5V
11
430 *
4 CA3039
ARRAY
430*
1/2 LT1720
+
–5V
10
5
1k*
TYP 2.2pF (SEE TEXT)
C
COMP
510*
LT1813
+
909Ω*
200
SETTLE
NODE
ZERO
TIME-CORRECTED INPUT STEP TO TEKTRONIX 661 OSCILLOSCOPE VIA ×10 HP-1120A FET PROBE
1k*
OUTPUT TO TEKTRONIX 661 OSCILLOSCOPE VIA ×1 HP-1120A FET PROBE
5V
AN79 F16
Figure 16. Settling Time Test Circuit Using Classical Sampling Oscilloscope. Sampling ‘Scope’s Inherent Overload Immunity Permits Large Off-Screen Excursions
AN79-9
Application Note 79
A = 2V/DIV
B = 5mV/DIV
5ns/DIV AN79 F17
Figure 17. Settling Time Measurement with the Classical Sampling ‘Scope. Oscilloscope’s Overload Immunity Allows Accurate Measurement Despite Extreme Overdrive
Summary of Results
The simplest way to summarize the different method’s results is by visual comparison. Figures 18 and 19 repeat previous photos of the two different settling-time meth­ods. If both approaches represent good measurement technique and are properly constructed, results should be indentical.13 If this is the case, the identical data produced by the two methods has a high probability of being valid.
A = 2V/DIV
B = 5mV/DIV
5ns/DIV AN79 F18
Figure 18. Settling Time Measurement Using the Sampling Bridge Circuit. t
A = 2V/DIV
B = 5mV/DIV
SETTLE
= 30ns
Examination of the photographs shows nearly identical settling times and settling waveform signatures. The shape of the settling waveform is essentially identical in both photos.14 This kind of agreement provides a high degree of credibility to the measured results.
Note 13: Construction details of the settling time fixtures discussed here appear (literally) in Appendix E, “Breadboarding, Layout and Connection Techniques.”
Note 14: The slightly rougher appearance of figure 19’s final settling movement (7th through 9th vertical divisions) may be due to the sampling ‘scope’s substantially higher bandwidth. Figure 18 was taken with a150MHz instrument; sampling oscilloscope bandwidth is 1GHz.
5ns/DIV
AN79 F19
Figure 19. Settling Time Measurement using the Classical Sampling ‘Scope. t
SETTLE
= 30ns
AN79-10
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