19-03-2024: Electronics 12#
Date: Tuesday, March 19 2024
Location: Chip
Time: 10:45 - 12:30
Question of the day
How do we relate the controller requirements to the amplifier requirements?
Knowledge Test#
Press the button(s) below to test your knowledge and understanding of the topics covered this lecture.
Negative feedback biasing#
Reduction of biasing errors
Presentation
The presentation "Reduction of biasing errors" discusses the application of error-reduction techniques for obtaining improved biasing accuracy and stability. An example of negative feedback biasing will be given.
Presentation in parts
Reduction of biasing errors (parts)
Video
EE3C11 lecture 12: Reduction of biasing errors.
Study
Chapter 9.4
Port impedance of single-loop feedback amplifiers#
Port of impedance single-loop feedback amplifiers
The port impedance of single-loop feedback amplifiers can be expresses in terms of the asymptotic-gain feedback model.
Presentation
The presentation Port impedance of single-loop feedback amplifiers shows the way in which this can be done.
Presentation in parts
Port impedance of single-loop feedback amplifiers (parts)
Video
Port impedance of single-loop feedback amplifiers.
Study
Chapter 10.3.6
Accuracy, bandwidth and frequency stability of negative feedback amplifiers#
Bandwidth of a negative feedback amplifier
For design purposes it is convenient to decouple the definition of the bandwitdth of a negative feedback amplifier from its desired frequency characteristic. This can be achieved by defining the bandwidth of a negative feedback amplifier by that of its servo function.
Presentation
The presentation Bandwidth of a negative feedback amplifier shows that the bandwidth of a negative feedback amplifier will be defined as that of its servo function.
Presentation in parts
Bandwidth of a negative feedback amplifier (parts)
Video
Bandwidth definition for negative feedback amplifiers (3:40)
Study
Chapter 11.4.1
Example: Bandwidth of a negative feedback transimpedance integrator
Presentation
The presentation Bandwidth Transimpedance Integrator shows the bandwidth definition for a negative feedback transimpedance integrator.
Presentation in parts
Bandwidth Transimpedance Integrator (parts)
Video
Example Bandwidth definition for an OpAmp Integrator Circuit (7:12)
study
Chapter 11.4
Butterworth or Maximally Flat Magnitude (MFM) responses
The -3dB cut-off frequency of systems with a Butterworth or MFM transfer equals the Nth root of the magnitude of the product of their N poles, where N is the order of the system.
In this course we will design the frequency response of a feedback amplifier in such a way that the servo function obtains an MFM or Butterworth filter characteristic over the frequency range of interest. Design procudures for other filter characteristics, such as, Bessel or Chebyshev do not differ. Only the numeric relation between the -3dB bandwidth and the gain-poles product of the loop gain will be different.
Presentation
The presentation Butterworth or Maximally Flat Magnitude (MFM) responses shows the Laplace transfer functions, the pole patterns and the magnitude characteristics of first, second and third order Butterworth transfers.
Presentation in parts
Butterworth or Maximally Flat Magnitude (MFM) responses (parts)
Video
Butterworth frequency responses (4:07)
Study
Chapter 11.4.3
Derive controller requirements from amplifier specifications#
MFM bandwidth of an all-pole feedback amplifier
The product of the loop gain and the magnitude of the dominant poles of the loop gain is a design parameter for the -3dB MFM bandwidth of an all-pole negative feedback amplifier .
Presentation
The presentation All-pole loop gain and servo bandwidth proofs the above.
Presentation in parts
All-pole loop gain and servo bandwidth (parts)
Video
All-pole Loop Gain and Servo Bandwidth (5:13)
Study
Chapter 11.4.3
Determination of the dominant poles of the loop gain
Presentation
The presentation Dominant and non-dominant poles in feedback systems illustrates the procedure for separating dominant poles and non-dominant poles on feedback systems.
Presentation in parts
Dominant and non-dominant poles in feedback systems (parts)
Video
Dominant poles and non-dominant poles of the loop gain (8:53)
Study
Chapter 11.4.3
Determination of the requirement for the gain-bandwidth product of an operational amplifier
The requirement for the GB-product of an operational amplifier can be derived from the loop gain-poles product (for dominant poles only).
Presentation
The presentation Determination of OpAmp GB-product requirement illustrates the procedure for deriving the requirement for the gain-bandwidth product of the operational amplifier from the expression of the loop gain.
Presentation in parts
Determination of OpAmp GB-product requirement (parts)
Video
Determination of GB product requirements for operational amplifiers (5:35)
Study
Chapter 11.4.3
Downloads#
The presentations are summarized on the poster: "Derive Controller Requirements from Amplifier Specifications"
Homework#
Continue with homework 9 and:
Evaluate the frequency characteristics of the asymptotic-gain, the loop gain and the servo function for the transmitter equipped with the TLV4111, designed to deliver 100mA peak into the transmit coil. Use SLiCAP to plot the frequency characteristics.
If the voltage drive capability, the midband accuracy and the bandwidth of the transmitter amplifier with the TLV4111, designed to deliver 100mA peak into the transmit coil are OK, finalize the transmitter design (prepare your poster).
Evaluate the frequency characteristics of the asymptotic-gain, the loop gain and the servo function for the receiver equipped with the OPA209, designed with a transmitter that delivers 100mA peak into the transmit coil. Use SLiCAP to plot the frequency characteristics.
If the noise, the midband accuracy and the bandwidth of the receiver amplifier with the OPA209, combined with the above transmitter are OK, finalize the receiver design (prepare your poster).