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Department of Electrical and Computer Engineering
Current Feedback Operational Amplifier
Jon Lepp
ECE 312 Analog Electronics
Final Project
12/11/2015
Lepp 2
Objective
The objective of the final project is to design a current feedback operational amplifier (CFOA).
In the design chosen for this project, the Wilson current mirror is chosen over the standard
current mirror making a total of 24 transistors in the final design to improve the amplifier
performance. The simulations included in the final project include a DC analysis to find the
operating points in the circuit, the transient response of the circuit to test for a closed loop gain of
2 and calculate the slew rate, as well as a bode and phase plot to find the bandwidth and poles of
the current feedback operational amplifier.
Schematic and Simulations
The schematic in Fig P.1 shows the schematic of the final design used for the transient
simulation, the bode plot, and the phase plot. This schematic includes the Vin input voltage and
the feedback loop which is connected to the output. In the schematic there are four Wilson
current mirrors. All of the resistors in the circuit are chosen to be the same value so the current is
mirrored through each of the stages of the current feedback operational amplifier.
Fig P.1 (Transient and Bode Plot Circuit)
Fig P.2 shows the transient simulation for the circuit in Fig P.1. Using subplots in the
simulation window, the input is plotted on the first plot. The amplitude is simulated at 200 mV.
For the given circuit in Fig P.1, the output is designed to have a gain of two using the feedback
loop. The amplitude of the output is shown in the second subplot of Fig P.2. As shown the
amplitude of the output is double the amplitude of the input, thus verifying the amplifier’s gain
Lepp 3
of two. The last subplot shows the input and the output on the same plot so they can be easily
compared.
Fig P.2 (Transient Simulation)
Fig P.3 shows the circuit used to find the DC operating points of the circuit. In this
schematic, the small signal AC voltage is removed from the circuit. The feedback loop is also
removed from the circuit. The input and output terminals of the circuit are grounded to create a
closed circuit. Most of the DC operating points are displayed at their various points throughout
the circuit. Upon careful inspection of the voltages throughout the circuit, there are various
points in the circuit where the voltages are the same. This is expected because the resistors and
transistors are the same throughout the circuit and the current mirrors are replicating the current
throughout the various stages of the amplifier.
Fig P.3 (DC Operating Point Circuit)
Lepp 4
Fig P.4 shows all of the DC operating points throughout the circuit. As expected there are
several repeated values for the voltages at various points throughout the circuit. For example
V(n006), V(n002), V(n005), V(n004), V(noo3), V(n001) all have similar voltages of 2.9 volts at
their node locations in the circuit. There are also several values of -2.38 volts that are repeated in
the table as well as -3.26 volts. All of the voltages are at the node locations within the current
mirrors of the circuit. This is why they are repeated multiple times. This is expected.
Fig P.4 (DC Operating Point Voltages)
Fig P.5 shows the first simulated bode and phase plot for the circuit in Fig P.1. The stop
frequency for this bode plot is simulated out to a frequency of 100 megahertz. Upon further
inspection of the bode plot, the amplifier appears to be acting as a low pass filter with a cutoff
frequency around 10 megahertz. For experimental purposes, another bode plot was simulated to
get a broader frequency spectrum to see how the circuit truly behaves at even higher frequencies.
This bode plot is shown in Fig P.6. It to, appears to have the characteristics of a low pass filter
with a cutoff frequency of 10 megahertz. It also shows the frequency and phase behavior all the
way out to frequencies of 100 gigahertz. The oscilloscopes used in the experimental procedure
have a maximum frequency of 20 megahertz. This means the bode plot created in the
experimental procedure for this lab will not show all of what happens at very high frequencies
such as 100 gigahertz. However, from the simulations shown in Fig P.5 and P.6, we can expect
to see a cutoff around 10 megahertz.
Lepp 5
Fig P.5 (Bode and Phase Plot)
Fig P.6 (Extended Bode and Phase Plot)
The final simulation for this lab is a square wave input into the current feedback
operational amplifier. The input is given as two volts peak to peak for the square wave pulse.
The output shown in Fig P.7 does not have a gain of two for a square wave input for the circuit.
Lepp 6
Fig P.7 (DC waveform input)
Data
The following pictures show the input stages of the CFOA with their corresponding DC voltages
at different nodes in the circuit. To prove the circuit is working correctly, measure a few different
spots in the circuit and compare some of the different voltages from the measured values and the
simulation. As shown, the CFOA appears to be working as expected and simulated because the
DC voltages appear to be close in value and have the same signs for different values and areas in
the circuit.
Lepp 7
The following data tables show the frequency profile for the CFOA. Table T.1 contains the
frequency set by the function generator, the 𝑉𝑖𝑛 voltage, which is assumed to remain constant at
200 mV throughout the data collection process, the 𝑉𝑜𝑢𝑡 voltage corresponding to the frequency
where the measurement is taken at the output, and the gain calculation. In Table T.1, the gain is
simply taking 𝑉𝑜𝑢𝑡 /𝑉𝑖𝑛 . This gain is not measured in decibels yet. Table T.2 takes the gain from
Table T.1 and multiplies the value by 20 ∗ log(
𝑉𝑜𝑢𝑡
𝑉𝑖𝑛
) to get the gain in the dB scale. Table T.2
also contains the frequencies where each corresponding gain values can be found. Table T.2 is
used to make the bode plot of the CFOA shown in Fig P.8. The bode plot in Fig P.8 has a large
spike in gain just prior to reaching 10 MHz. For frequencies below 1 MHz, the gain remains
constant for the CFOA. For all frequencies after 10 MHz, the gain of the amplifier shows a rapid
reduction in gain as the frequencies get higher.
Fig P.8 (Bode Plot of CFOA)
Lepp 8
Table T.1 Table T.2
The following oscilloscope captures show several pieces of information for the current feedback
operational amplifier. The oscilloscope capture OC.1 shows a low frequency transient response
for the CFOA. The simulated input voltage was taken to be 200 mV. This oscilloscope capture
was taken at a frequency of 4 kHz. As shown by the amplitudes in the figure on the right side of
the oscilloscope, the amplifier still has a gain of two at a frequency of 4 kHz.
Frequency (kHz) Vout (V) Vin (V) Gain (Vout/Vin)
1.000 0.393 0.200 1.965
5.000 0.393 0.200 1.965
10.000 0.395 0.200 1.975
20.000 0.395 0.200 1.975
40.000 0.397 0.200 1.985
80.000 0.401 0.200 2.005
100.000 0.401 0.200 2.005
200.000 0.398 0.200 1.990
400.000 0.406 0.200 2.030
800.000 0.410 0.200 2.050
1000.000 0.408 0.200 2.040
2000.000 0.442 0.200 2.210
4000.000 0.586 0.200 2.932
8000.000 0.886 0.200 4.430
8500.000 1.439 0.200 7.195
9000.000 1.793 0.200 8.965
9100.000 1.817 0.200 9.085
9200.000 1.809 0.200 9.045
9300.000 1.656 0.200 8.280
9400.000 1.504 0.200 7.520
9500.000 1.367 0.200 6.835
9600.000 1.282 0.200 6.410
9700.000 1.170 0.200 5.850
9800.000 1.116 0.200 5.580
9900.000 1.073 0.200 5.365
10000.000 1.003 0.200 5.015
11000.000 0.787 0.200 3.935
12000.000 0.578 0.200 2.890
13000.000 0.484 0.200 2.420
14000.000 0.393 0.200 1.965
15000.000 0.340 0.200 1.700
16000.000 0.342 0.200 1.710
17000.000 0.356 0.200 1.780
18000.000 0.349 0.200 1.745
19000.000 0.332 0.200 1.660
20000.000 0.354 0.200 1.770
Gain (dB) Frequency (kHz)
5.867 1.000
5.867 5.000
5.911 10.000
5.911 20.000
5.955 40.000
6.042 80.000
6.042 100.000
5.977 200.000
6.150 400.000
6.235 800.000
6.193 1000.000
6.888 2000.000
9.343 4000.000
12.928 8000.000
17.141 8500.000
19.051 9000.000
19.166 9100.000
19.128 9200.000
18.361 9300.000
17.524 9400.000
16.695 9500.000
16.137 9600.000
15.343 9700.000
14.933 9800.000
14.591 9900.000
14.005 10000.000
11.899 11000.000
9.218 12000.000
7.676 13000.000
5.867 14000.000
4.609 15000.000
4.660 16000.000
5.008 17000.000
4.836 18000.000
4.402 19000.000
4.959 20000.000
Lepp 9
The oscilloscope capture in OC.2 displays what starts to happen to the signal as the
frequency becomes higher than 10 MHz. The signal starts looking worse and worse the higher up
in frequency the input becomes. This verifies, once again that the cutoff frequency is at 10 MHz
for the CFOA circuit.
OC.1 OC.2
The oscilloscope capture OC.3 shows the output of the CFOA when a DC pulse is used
as an input signal to the CFOA at a low frequency of 4 kHz. The output has a unique shape at the
bottom of the wave and is not perfectly square as you would expect it to be. If you zoom in on
the waveform and increase the frequency, as was done in the oscilloscope capture OC.4, you
begin to see the noise in the circuit. Despite this small amount of noise in the signal, the CFOA is
still getting a gain of two even for the square waveform. This differs from the simulated results
where the gain remained less than two.
OC.3 OC.4
For experimental purposes, the last described step of the lab was repeated twice more to
see what the output from a square wave would look like at extremely high frequencies. As
shown, the output wave becomes more and more distorted as the frequency gets higher and
higher as shown in the oscilloscopte captures OC.5 and OC.6.
Lepp 10
OC.5 OC.6
The following oscilloscope captures are used to find the slew rate of the CFOA. The
input to the CFOA is still a square wave pulse, however the period is changed to zoom in on one
particular rising edge of the pulse. The slew rate is the slope of the wave shown given in volts
per microsecond. The oscilloscope capture OC.7 will be used to calculate the slew rate for the
CFOA because the x cursors were placed correctly for the calculation. OC.8 could be used to
calculate the slew rate but it wouldn’t be very accurate because the right x cursor is placed at the
center of the highest peak. This oscilloscope capture was taken to see the difference in slew rates
based on these two positions.
𝑆𝑙𝑒𝑤 𝑟𝑎𝑡𝑒 =
𝛥𝑦
𝛥𝑥
=
2.94𝑉
0.222µ𝑠
= 13.27 𝑉/µ𝑠
The slew rate is used to determine how fast the amplifier is. The ideal slew rate for the
CFOA is 30 volts per microsecond. For this design, the CFOA is operating at just under half of
the ideal speed of the CFOA.
OC.7 OC.8
The following picture in Fig P.9 shows the CFOA design implemented as a circuit. This
is the same circuit as Fig P.1. The design was kept neat with mostly small wires used with the
exception of the outputs that had to be brought to a different area of the breadboard for lack of
space. This circuit was relatively easy to built. The hardest part was figuring out which direction
the transistors had to be facing to operate correctly.
Lepp 11
Fig P.9 (CFOA Circuit)
Additional Researchon CFOA
The CFOA is faster than the voltage feedback amplifier. It has several advantages over the
voltage feedback amplifier such as a high slew rate and larger bandwidth. They are able to
account for higher frequencies of sinusoidal, triangular, and square waves. They also implement
less external components (resistors, etc.) resulting in an overall better design. Some
disadvantages of the voltage feedback operational amplifier include their input offset voltage,
inputs offset current, common mode input range, common mode rejection ratio (CMRR), power
supply rejection ratio (PSRR), their open loop gain, and the characteristic that they tend to be
noisier than VFOA. For simple linear applications, the CFOA and VFOA can be used
interchangeably. However, in nonlinear applications such as an integrator circuit, they may not
be able to be used interchangeably. The CFOA operates faster because it operates in current
Lepp 12
mode making it less prone to stray node capacitances. The CFOA should not be used in high gain
applications particularly when absolute gain accuracy is required. These are a few of the
characteristics, advantages, and disadvantages of the CFOA.
Conclusion
The purpose of this experiment was to design a current feedback operational amplifier with a
gain of two shown in the transient analysis of the circuit. The circuit was also analyzed to find
the DC operating points and the frequency response of the circuit to create a bode plot to analyze
the CFOA’s characteristic of having a high bandwidth. In addition, the slew rate of the CFOA
was found to analyze the speed of the circuit. Finally, additional research was conducted on the
CFOA to find other common characteristics including advantages and disadvantages of the
CFOA.

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ECE 312 Current Feedback Operational Amplifier (final project)

  • 1. Department of Electrical and Computer Engineering Current Feedback Operational Amplifier Jon Lepp ECE 312 Analog Electronics Final Project 12/11/2015
  • 2. Lepp 2 Objective The objective of the final project is to design a current feedback operational amplifier (CFOA). In the design chosen for this project, the Wilson current mirror is chosen over the standard current mirror making a total of 24 transistors in the final design to improve the amplifier performance. The simulations included in the final project include a DC analysis to find the operating points in the circuit, the transient response of the circuit to test for a closed loop gain of 2 and calculate the slew rate, as well as a bode and phase plot to find the bandwidth and poles of the current feedback operational amplifier. Schematic and Simulations The schematic in Fig P.1 shows the schematic of the final design used for the transient simulation, the bode plot, and the phase plot. This schematic includes the Vin input voltage and the feedback loop which is connected to the output. In the schematic there are four Wilson current mirrors. All of the resistors in the circuit are chosen to be the same value so the current is mirrored through each of the stages of the current feedback operational amplifier. Fig P.1 (Transient and Bode Plot Circuit) Fig P.2 shows the transient simulation for the circuit in Fig P.1. Using subplots in the simulation window, the input is plotted on the first plot. The amplitude is simulated at 200 mV. For the given circuit in Fig P.1, the output is designed to have a gain of two using the feedback loop. The amplitude of the output is shown in the second subplot of Fig P.2. As shown the amplitude of the output is double the amplitude of the input, thus verifying the amplifier’s gain
  • 3. Lepp 3 of two. The last subplot shows the input and the output on the same plot so they can be easily compared. Fig P.2 (Transient Simulation) Fig P.3 shows the circuit used to find the DC operating points of the circuit. In this schematic, the small signal AC voltage is removed from the circuit. The feedback loop is also removed from the circuit. The input and output terminals of the circuit are grounded to create a closed circuit. Most of the DC operating points are displayed at their various points throughout the circuit. Upon careful inspection of the voltages throughout the circuit, there are various points in the circuit where the voltages are the same. This is expected because the resistors and transistors are the same throughout the circuit and the current mirrors are replicating the current throughout the various stages of the amplifier. Fig P.3 (DC Operating Point Circuit)
  • 4. Lepp 4 Fig P.4 shows all of the DC operating points throughout the circuit. As expected there are several repeated values for the voltages at various points throughout the circuit. For example V(n006), V(n002), V(n005), V(n004), V(noo3), V(n001) all have similar voltages of 2.9 volts at their node locations in the circuit. There are also several values of -2.38 volts that are repeated in the table as well as -3.26 volts. All of the voltages are at the node locations within the current mirrors of the circuit. This is why they are repeated multiple times. This is expected. Fig P.4 (DC Operating Point Voltages) Fig P.5 shows the first simulated bode and phase plot for the circuit in Fig P.1. The stop frequency for this bode plot is simulated out to a frequency of 100 megahertz. Upon further inspection of the bode plot, the amplifier appears to be acting as a low pass filter with a cutoff frequency around 10 megahertz. For experimental purposes, another bode plot was simulated to get a broader frequency spectrum to see how the circuit truly behaves at even higher frequencies. This bode plot is shown in Fig P.6. It to, appears to have the characteristics of a low pass filter with a cutoff frequency of 10 megahertz. It also shows the frequency and phase behavior all the way out to frequencies of 100 gigahertz. The oscilloscopes used in the experimental procedure have a maximum frequency of 20 megahertz. This means the bode plot created in the experimental procedure for this lab will not show all of what happens at very high frequencies such as 100 gigahertz. However, from the simulations shown in Fig P.5 and P.6, we can expect to see a cutoff around 10 megahertz.
  • 5. Lepp 5 Fig P.5 (Bode and Phase Plot) Fig P.6 (Extended Bode and Phase Plot) The final simulation for this lab is a square wave input into the current feedback operational amplifier. The input is given as two volts peak to peak for the square wave pulse. The output shown in Fig P.7 does not have a gain of two for a square wave input for the circuit.
  • 6. Lepp 6 Fig P.7 (DC waveform input) Data The following pictures show the input stages of the CFOA with their corresponding DC voltages at different nodes in the circuit. To prove the circuit is working correctly, measure a few different spots in the circuit and compare some of the different voltages from the measured values and the simulation. As shown, the CFOA appears to be working as expected and simulated because the DC voltages appear to be close in value and have the same signs for different values and areas in the circuit.
  • 7. Lepp 7 The following data tables show the frequency profile for the CFOA. Table T.1 contains the frequency set by the function generator, the 𝑉𝑖𝑛 voltage, which is assumed to remain constant at 200 mV throughout the data collection process, the 𝑉𝑜𝑢𝑡 voltage corresponding to the frequency where the measurement is taken at the output, and the gain calculation. In Table T.1, the gain is simply taking 𝑉𝑜𝑢𝑡 /𝑉𝑖𝑛 . This gain is not measured in decibels yet. Table T.2 takes the gain from Table T.1 and multiplies the value by 20 ∗ log( 𝑉𝑜𝑢𝑡 𝑉𝑖𝑛 ) to get the gain in the dB scale. Table T.2 also contains the frequencies where each corresponding gain values can be found. Table T.2 is used to make the bode plot of the CFOA shown in Fig P.8. The bode plot in Fig P.8 has a large spike in gain just prior to reaching 10 MHz. For frequencies below 1 MHz, the gain remains constant for the CFOA. For all frequencies after 10 MHz, the gain of the amplifier shows a rapid reduction in gain as the frequencies get higher. Fig P.8 (Bode Plot of CFOA)
  • 8. Lepp 8 Table T.1 Table T.2 The following oscilloscope captures show several pieces of information for the current feedback operational amplifier. The oscilloscope capture OC.1 shows a low frequency transient response for the CFOA. The simulated input voltage was taken to be 200 mV. This oscilloscope capture was taken at a frequency of 4 kHz. As shown by the amplitudes in the figure on the right side of the oscilloscope, the amplifier still has a gain of two at a frequency of 4 kHz. Frequency (kHz) Vout (V) Vin (V) Gain (Vout/Vin) 1.000 0.393 0.200 1.965 5.000 0.393 0.200 1.965 10.000 0.395 0.200 1.975 20.000 0.395 0.200 1.975 40.000 0.397 0.200 1.985 80.000 0.401 0.200 2.005 100.000 0.401 0.200 2.005 200.000 0.398 0.200 1.990 400.000 0.406 0.200 2.030 800.000 0.410 0.200 2.050 1000.000 0.408 0.200 2.040 2000.000 0.442 0.200 2.210 4000.000 0.586 0.200 2.932 8000.000 0.886 0.200 4.430 8500.000 1.439 0.200 7.195 9000.000 1.793 0.200 8.965 9100.000 1.817 0.200 9.085 9200.000 1.809 0.200 9.045 9300.000 1.656 0.200 8.280 9400.000 1.504 0.200 7.520 9500.000 1.367 0.200 6.835 9600.000 1.282 0.200 6.410 9700.000 1.170 0.200 5.850 9800.000 1.116 0.200 5.580 9900.000 1.073 0.200 5.365 10000.000 1.003 0.200 5.015 11000.000 0.787 0.200 3.935 12000.000 0.578 0.200 2.890 13000.000 0.484 0.200 2.420 14000.000 0.393 0.200 1.965 15000.000 0.340 0.200 1.700 16000.000 0.342 0.200 1.710 17000.000 0.356 0.200 1.780 18000.000 0.349 0.200 1.745 19000.000 0.332 0.200 1.660 20000.000 0.354 0.200 1.770 Gain (dB) Frequency (kHz) 5.867 1.000 5.867 5.000 5.911 10.000 5.911 20.000 5.955 40.000 6.042 80.000 6.042 100.000 5.977 200.000 6.150 400.000 6.235 800.000 6.193 1000.000 6.888 2000.000 9.343 4000.000 12.928 8000.000 17.141 8500.000 19.051 9000.000 19.166 9100.000 19.128 9200.000 18.361 9300.000 17.524 9400.000 16.695 9500.000 16.137 9600.000 15.343 9700.000 14.933 9800.000 14.591 9900.000 14.005 10000.000 11.899 11000.000 9.218 12000.000 7.676 13000.000 5.867 14000.000 4.609 15000.000 4.660 16000.000 5.008 17000.000 4.836 18000.000 4.402 19000.000 4.959 20000.000
  • 9. Lepp 9 The oscilloscope capture in OC.2 displays what starts to happen to the signal as the frequency becomes higher than 10 MHz. The signal starts looking worse and worse the higher up in frequency the input becomes. This verifies, once again that the cutoff frequency is at 10 MHz for the CFOA circuit. OC.1 OC.2 The oscilloscope capture OC.3 shows the output of the CFOA when a DC pulse is used as an input signal to the CFOA at a low frequency of 4 kHz. The output has a unique shape at the bottom of the wave and is not perfectly square as you would expect it to be. If you zoom in on the waveform and increase the frequency, as was done in the oscilloscope capture OC.4, you begin to see the noise in the circuit. Despite this small amount of noise in the signal, the CFOA is still getting a gain of two even for the square waveform. This differs from the simulated results where the gain remained less than two. OC.3 OC.4 For experimental purposes, the last described step of the lab was repeated twice more to see what the output from a square wave would look like at extremely high frequencies. As shown, the output wave becomes more and more distorted as the frequency gets higher and higher as shown in the oscilloscopte captures OC.5 and OC.6.
  • 10. Lepp 10 OC.5 OC.6 The following oscilloscope captures are used to find the slew rate of the CFOA. The input to the CFOA is still a square wave pulse, however the period is changed to zoom in on one particular rising edge of the pulse. The slew rate is the slope of the wave shown given in volts per microsecond. The oscilloscope capture OC.7 will be used to calculate the slew rate for the CFOA because the x cursors were placed correctly for the calculation. OC.8 could be used to calculate the slew rate but it wouldn’t be very accurate because the right x cursor is placed at the center of the highest peak. This oscilloscope capture was taken to see the difference in slew rates based on these two positions. 𝑆𝑙𝑒𝑤 𝑟𝑎𝑡𝑒 = 𝛥𝑦 𝛥𝑥 = 2.94𝑉 0.222µ𝑠 = 13.27 𝑉/µ𝑠 The slew rate is used to determine how fast the amplifier is. The ideal slew rate for the CFOA is 30 volts per microsecond. For this design, the CFOA is operating at just under half of the ideal speed of the CFOA. OC.7 OC.8 The following picture in Fig P.9 shows the CFOA design implemented as a circuit. This is the same circuit as Fig P.1. The design was kept neat with mostly small wires used with the exception of the outputs that had to be brought to a different area of the breadboard for lack of space. This circuit was relatively easy to built. The hardest part was figuring out which direction the transistors had to be facing to operate correctly.
  • 11. Lepp 11 Fig P.9 (CFOA Circuit) Additional Researchon CFOA The CFOA is faster than the voltage feedback amplifier. It has several advantages over the voltage feedback amplifier such as a high slew rate and larger bandwidth. They are able to account for higher frequencies of sinusoidal, triangular, and square waves. They also implement less external components (resistors, etc.) resulting in an overall better design. Some disadvantages of the voltage feedback operational amplifier include their input offset voltage, inputs offset current, common mode input range, common mode rejection ratio (CMRR), power supply rejection ratio (PSRR), their open loop gain, and the characteristic that they tend to be noisier than VFOA. For simple linear applications, the CFOA and VFOA can be used interchangeably. However, in nonlinear applications such as an integrator circuit, they may not be able to be used interchangeably. The CFOA operates faster because it operates in current
  • 12. Lepp 12 mode making it less prone to stray node capacitances. The CFOA should not be used in high gain applications particularly when absolute gain accuracy is required. These are a few of the characteristics, advantages, and disadvantages of the CFOA. Conclusion The purpose of this experiment was to design a current feedback operational amplifier with a gain of two shown in the transient analysis of the circuit. The circuit was also analyzed to find the DC operating points and the frequency response of the circuit to create a bode plot to analyze the CFOA’s characteristic of having a high bandwidth. In addition, the slew rate of the CFOA was found to analyze the speed of the circuit. Finally, additional research was conducted on the CFOA to find other common characteristics including advantages and disadvantages of the CFOA.