Day 4

color coded resistors

Overview of the program

  1. Discussion of the exercises from previous days

    Day4SLiCAP.zip

  2. Presentations

    Note: scrolling through presentations

    Always open presentations in a new tab: CRTL + click

    Operational Amplifiers: Application, types and modeling techniques

    Feedback amplifiers with standard operational amplifiers as controllers

    Operational amplifiers are intended to be used as controllers in negative feedback amplifiers. Standard operational (voltage) amplifiers use both supply terminals as return path of the output port. This complicates the implementation of output current sensing.

    Presentation

    The presentation “Feedback configurations with operational amplifiers” illustrates this and presents alternative current sensing techniques.

    Video

    Feedback amplifier configurations with operational amplifiers (6:37)

    Study

    Chapter 8.4.1

    Synthesis of multiple-controller feedback configurations

    If a feedback amplifier comprises multiple controllers, alternative configurations that all have the same ideal gain can be found by pairing the nullators and norators differently.

    Presentation

    The presentation “Multiple-nullor circuit synthesis” demonstrates this technique for an active-feedback inverting voltage amplifier.

    Study

    Chapter 7.6.1

    Types of operational amplifiers

    The operational amplifier was invented as a controller for analog computers. The “standard” operational amplifier has a floating (differential) voltage input and a grounded voltage output. Nowadays, different types of operational amplifiers exists.

    Presentation

    The presentation “OpAmps: types” briefly summarizes the historical development of operational amplifiers and lists the properties of the different types.

    Video

    Opamp Types (8:04)

    Study

    Chapter 8.1

    Modeling of operational amplifiers

    Manufacturers of operational amplifiers usually provide macro-models for SPICE simulation. Such models, however, do not provide design information.

    Presentation

    The presentation “Operational Amplifiers: modeling” presents techniques for modeling of specific behavioral apsects, for both SPICE simulators and for SLiCAP.

    Videos

    1. Modeling of the behavior of operational amplifiers (10:37)
    2. Modeling of the small-signal dynamic behavior of oiperational amplifiers (5:17)
    3. (LT)spice nullor model (3:12)
    4. A programmable noise source for (LT)spice (3:47)
    5. Opamp model derived from datasheet (21:54)

    Study

    Chapter 8.3

    Introduction to biasing

    Principle of amplification

    Amplifiers can be constructed with devices of which the voltage-to-current transfer of the output port depend on their operating point.

    Presentation

    The presentation “Principle of amplification” shows the way in which a basic amplifier stage can be constructed with a “transresistance” device.

    Study

    Chapter 3

    Introduction to amplifier biasing

    Biasing is the application of a collection of techniques for fixing the electrical operating conditions of electronic devices, and deriving the required bias voltage and current sources from the power supply source(s).

    Presentation

    The presentation “Principle of biasing” shows the way in which bias sources fix the devices’ operating point, independent of the (passive) DC termination at the input port and the output port of the amplifier.

    Study

    Chapter 3

    Biasing of operational amplifiers

    Operational amplifiers are commonly used as controllers in feedback circuits. In order to operate, they should be biased properly.

    Presentation

    The presentation “Biasing of operational amplifiers” shows the biasing quantities that should establish the proper operating conditions for operational amplifiers.

    Study

    Chapter 8

    Biasing example

    Biasing example

    Presentation

    The presentation “Amplifier Biasing Example” presents a stepwise approach to the design of the biasing circuitry of an amplifier.

    Study

    Chapter 9.1, 9.2

    Analysis and budgeting of biasing errors

    Presentation

    The presentation “Analysis and budgeting of biasing errors” presents simplified statistical techniques for budgeting of biasing errors.

    Study

    Chapter 9.3

    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.

    Study

    Chapter 9.4

  3. Guidance with homework

color coded resistors

Homework

The theory presented in day 4 will be applied in the design of the active antenna. Please use SLiCAP as documentation tool.

Active antenna

  1. The ADA4817 is a JFET input low-noise operational amplifiers.

    1. Make a small-signal dynamic model for SLiCAP, that models:

      1. The common-mode and differential-mode input impedance
      2. The voltage gain \(A_v(s)\) with its poles and zeros
      3. The output impedance \(Z_o(s)\)

      Please study the SLiCAP help for the built-in models of operational amplifiers

    2. Model the noise behavior of this device; use a nullor with equivalent-input noise sources (LTspice symbol SLN_noise or SLO_noise), save this model for later use.

    3. Model the DC biasing errors of this device; use a nullor with equivalent-input bias sources (LTspice symbol SLN_dcvar or SLO_dcvar), save this model for later use.

  2. Give biasing design considerations for the operational amplifier to be used in the antenna amplifier and design a basic biasing solution for your preferred antenna amplifier concept. You may only use resistors for biasing!

    1. Can you already define show-stopper values for biasing parameters?