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Comparator and Schmitt Trigger
• Comparator circuits find frequent application in
measurement and instrumentation systems.
• Learning Objectives
– Understand the Op-Amp Comparator with and without
an offset and its uses
– Understand the Schmitt Trigger and its benefits in
noise rejection and improved switching speed

Comparator and Schmidt Trigger

K. Craig

1
• Op-Amp Comparator
– The prototype of op-amp switching circuits is the opamp comparator.
– The circuit does not employ feedback.

Vout = A ( V + − V − )

Comparator and Schmidt Trigger

K. Craig

2
– Because of the large gain that characterizes openloop performance of the op-amp (A > 105), any small
difference between the input voltages will cause large
outputs; the op-amp will go into saturation at either
extreme, according the voltage supply values and the
polarity of the voltage difference.
– One can take advantage of this property to generate
switching waveforms.
– Consider the following.
Non-inverting Op-Amp Comparator

ε = V cos ( ωt )

Comparator and Schmidt Trigger

K. Craig

3
– The comparator is perhaps the simplest form on an
analog-to-digital converter, i.e., a circuit that converts
a continuous waveform to discrete values. The
comparator output consists of only two discrete
levels.
Input and Output of Non-Inverting Comparator

Vsat = ± 13.5 volts

V = 1 volt

Comparator and Schmidt Trigger

K. Craig

4
– It is possible to construct an inverting comparator by
connecting the non-inverting terminal to ground and
connecting the input to the inverting terminal.
Input and Output of Inverting Comparator

Comparator and Schmidt Trigger

K. Craig

5
– Comparator with Offset
• A simple modification of the comparator circuit
consists of connecting a fixed reference voltage to
one of the input terminals; the effect of the
reference voltage is to raise or lower the voltage
level at which the comparator will switch from one
extreme to the other.

Comparator and Schmidt Trigger

K. Craig

6
– Below is the waveform of a comparator with a reference
voltage of 0.6 V and an input voltage of sin(ωt).

– Note that the comparator output is no longer a
symmetric square wave.
Comparator and Schmidt Trigger

K. Craig

7
– Another useful interpretation of the op-amp
comparator can be obtained by considering its inputoutput transfer characteristic.

Non-Inverting Zero-Reference
(no offset) Comparator
often called a
zero-crossing comparator

Comparator and Schmidt Trigger

K. Craig

8
– Shown below is the transfer characteristic for a
comparator of the inverting type with a nonzero
reference voltage.

Comparator and Schmidt Trigger

K. Craig

9
– Very often, in converting an analog signal to a binary
representation, one would like to use voltage levels
other than ± Vsat. Commonly used voltage levels in
this type of switching circuit are 0 and 5V.
– Special-purpose integrated-circuit packages are
available that are specially designed to serve as
comparators. These typically can accept relatively
large inputs and have provision for selecting the
desired reference voltage levels.
– An example is the LM311, which provides an opencollector output. The open-collector output allows the
user to connect the output transistor to any supply
voltage of choice by means of an external pull-up
resistor, thus completing the output circuit.
Comparator and Schmidt Trigger

K. Craig

10
– The actual value of the resistor is not critical, since
the transistor is operated in the saturation mode;
values between a few hundred and a few thousand
ohms are typical.

Comparator and Schmidt Trigger

K. Craig

11
• Schmitt Trigger
– One of the typical applications of the op-amp
comparator is in detecting when an input voltage
exceeds a present threshold voltage. The desired
threshold is then represented by a DC reference Vref
connected to the non-inverting input, and the input
voltage source is connected to the inverting input.
– The presence of noise and a finite slew rate of
practical op-amps requires special attention.
– Two improvements are discussed:
• How to improve the switching speed of the
comparator.
• How to design a circuit that can operate correctly
even in the presence of noisy signals.
Comparator and Schmidt Trigger

K. Craig

12
Comparator Response to Noisy Inputs
– One very effective way of improving the performance
of the comparator is by introducing positive feedback.
Positive feedback can increase the switching speed
of the comparator and provide noise immunity at the
same time.

Transfer Characteristic
of the
Schmitt Trigger

Can you explain how this works?

Comparator and Schmidt Trigger

K. Craig

14
– If it is desired to switch about a voltage other than
zero, a reference voltage can also be connected to
the non-inverting terminal.
Switching levels for the Schmitt Trigger are:

Vin >

R2
R1
Vsat + Vref
R 2 + R1
R 2 + R1
positive-going transition

Vin < −

R2
R1
Vsat + Vref
R 2 + R1
R 2 + R1
negative-going transition

Comparator and Schmidt Trigger

K. Craig

15
– In effect, the Schmitt trigger provides a noise rejection
range equal to ± Vsat [R2 / (R2 + R1)] within which the
comparator cannot switch.
– Thus if the noise amplitude is contained within this
range, the Schmitt trigger will prevent multiple
triggering.

Comparator and Schmidt Trigger

K. Craig

16

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Schmitt trigger basics

  • 1. Comparator and Schmitt Trigger • Comparator circuits find frequent application in measurement and instrumentation systems. • Learning Objectives – Understand the Op-Amp Comparator with and without an offset and its uses – Understand the Schmitt Trigger and its benefits in noise rejection and improved switching speed Comparator and Schmidt Trigger K. Craig 1
  • 2. • Op-Amp Comparator – The prototype of op-amp switching circuits is the opamp comparator. – The circuit does not employ feedback. Vout = A ( V + − V − ) Comparator and Schmidt Trigger K. Craig 2
  • 3. – Because of the large gain that characterizes openloop performance of the op-amp (A > 105), any small difference between the input voltages will cause large outputs; the op-amp will go into saturation at either extreme, according the voltage supply values and the polarity of the voltage difference. – One can take advantage of this property to generate switching waveforms. – Consider the following. Non-inverting Op-Amp Comparator ε = V cos ( ωt ) Comparator and Schmidt Trigger K. Craig 3
  • 4. – The comparator is perhaps the simplest form on an analog-to-digital converter, i.e., a circuit that converts a continuous waveform to discrete values. The comparator output consists of only two discrete levels. Input and Output of Non-Inverting Comparator Vsat = ± 13.5 volts V = 1 volt Comparator and Schmidt Trigger K. Craig 4
  • 5. – It is possible to construct an inverting comparator by connecting the non-inverting terminal to ground and connecting the input to the inverting terminal. Input and Output of Inverting Comparator Comparator and Schmidt Trigger K. Craig 5
  • 6. – Comparator with Offset • A simple modification of the comparator circuit consists of connecting a fixed reference voltage to one of the input terminals; the effect of the reference voltage is to raise or lower the voltage level at which the comparator will switch from one extreme to the other. Comparator and Schmidt Trigger K. Craig 6
  • 7. – Below is the waveform of a comparator with a reference voltage of 0.6 V and an input voltage of sin(ωt). – Note that the comparator output is no longer a symmetric square wave. Comparator and Schmidt Trigger K. Craig 7
  • 8. – Another useful interpretation of the op-amp comparator can be obtained by considering its inputoutput transfer characteristic. Non-Inverting Zero-Reference (no offset) Comparator often called a zero-crossing comparator Comparator and Schmidt Trigger K. Craig 8
  • 9. – Shown below is the transfer characteristic for a comparator of the inverting type with a nonzero reference voltage. Comparator and Schmidt Trigger K. Craig 9
  • 10. – Very often, in converting an analog signal to a binary representation, one would like to use voltage levels other than ± Vsat. Commonly used voltage levels in this type of switching circuit are 0 and 5V. – Special-purpose integrated-circuit packages are available that are specially designed to serve as comparators. These typically can accept relatively large inputs and have provision for selecting the desired reference voltage levels. – An example is the LM311, which provides an opencollector output. The open-collector output allows the user to connect the output transistor to any supply voltage of choice by means of an external pull-up resistor, thus completing the output circuit. Comparator and Schmidt Trigger K. Craig 10
  • 11. – The actual value of the resistor is not critical, since the transistor is operated in the saturation mode; values between a few hundred and a few thousand ohms are typical. Comparator and Schmidt Trigger K. Craig 11
  • 12. • Schmitt Trigger – One of the typical applications of the op-amp comparator is in detecting when an input voltage exceeds a present threshold voltage. The desired threshold is then represented by a DC reference Vref connected to the non-inverting input, and the input voltage source is connected to the inverting input. – The presence of noise and a finite slew rate of practical op-amps requires special attention. – Two improvements are discussed: • How to improve the switching speed of the comparator. • How to design a circuit that can operate correctly even in the presence of noisy signals. Comparator and Schmidt Trigger K. Craig 12
  • 13. Comparator Response to Noisy Inputs
  • 14. – One very effective way of improving the performance of the comparator is by introducing positive feedback. Positive feedback can increase the switching speed of the comparator and provide noise immunity at the same time. Transfer Characteristic of the Schmitt Trigger Can you explain how this works? Comparator and Schmidt Trigger K. Craig 14
  • 15. – If it is desired to switch about a voltage other than zero, a reference voltage can also be connected to the non-inverting terminal. Switching levels for the Schmitt Trigger are: Vin > R2 R1 Vsat + Vref R 2 + R1 R 2 + R1 positive-going transition Vin < − R2 R1 Vsat + Vref R 2 + R1 R 2 + R1 negative-going transition Comparator and Schmidt Trigger K. Craig 15
  • 16. – In effect, the Schmitt trigger provides a noise rejection range equal to ± Vsat [R2 / (R2 + R1)] within which the comparator cannot switch. – Thus if the noise amplitude is contained within this range, the Schmitt trigger will prevent multiple triggering. Comparator and Schmidt Trigger K. Craig 16