Model Assumptions and Validity - 90.5 | 90. Feedback system (Part-A) | Analog Electronic Circuits - Vol 4
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Interactive Audio Lesson

Listen to a student-teacher conversation explaining the topic in a relatable way.

Introduction to Feedback Systems

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0:00
Teacher
Teacher

Today we are talking about feedback systems in amplifiers. Can anyone tell me what feedback might mean in this context?

Student 1
Student 1

I think it means sending some of the output back to the input?

Teacher
Teacher

Exactly! Feedback involves taking part of the output and returning it to the input, which can significantly affect the amplification process. What are the two main types of feedback?

Student 2
Student 2

Negative feedback and positive feedback!

Teacher
Teacher

Correct! Negative feedback stabilizes the system, while positive feedback can lead to instability. Let's remember that with the acronym 'SIP' for Stability from Inhibition (negative) and Positive feedback causes instability!

Student 3
Student 3

Can you explain a bit more about stability?

Teacher
Teacher

Of course! Negative feedback reduces distortion and improves stability, while positive feedback can amplify signals beyond control. This concept is essential in designing effective circuits.

Transfer Characteristics

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0:00
Teacher
Teacher

Now, let's dive into how we derive transfer characteristics of feedback systems. Why do you think this is important?

Student 4
Student 4

It helps us understand how the input relates to the output, right?

Teacher
Teacher

Exactly! It provides insight into how feedback influences the system performance. Let's define the transfer function of a feedback system. Can anyone recall the basic form?

Student 1
Student 1

I think it involves the input, the feedback signal, and the transfer functions of the forward amplifier and feedback network?

Teacher
Teacher

That's right! The transfer function can be expressed as a ratio of the output to the input, incorporating feedback effects. Remember, this is crucial for analyzing circuit stability.

Types of Feedback

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0:00
Teacher
Teacher

Let's explore negative and positive feedback in more detail. When we discuss negative feedback, what are its implications?

Student 2
Student 2

It reduces gain and improves linearity, right?

Teacher
Teacher

Exactly! It helps mitigate distortion and improves stability across the amplifier's operating range. And what about positive feedback?

Student 3
Student 3

It increases gain but can lead to instability if not controlled.

Teacher
Teacher

Correct! It's essential to manage the amount of positive feedback to maintain stability. Let's use the mnemonic 'STAY' for Stability Through Appropriate Yielding to positive feedback.

Assumptions in Feedback Systems

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0:00
Teacher
Teacher

As we assess feedback systems, we must consider the underlying assumptions. What assumptions do you think are critical for feedback analysis?

Student 4
Student 4

That the systems are linear and time-invariant?

Teacher
Teacher

Perfect! These assumptions simplify analysis but must be validated in practical circuits. Anyone recall other critical assumptions?

Student 1
Student 1

How about the unidirectionality of signals in the amplifier and feedback path?

Teacher
Teacher

Exactly! Ensuring the signal flows correctly in one direction avoids errors in analysis. Let’s remember this with the phrase 'One Direction for Clarity'.

Applications of Feedback Systems

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0:00
Teacher
Teacher

Finally, let’s talk about where feedback systems are applied in real life. Can someone give an example?

Student 2
Student 2

Feedback systems in audio amplifiers to reduce distortion?

Teacher
Teacher

Right on target! They play a crucial role in ensuring clarity and quality in audio devices. What other applications can you think of?

Student 3
Student 3

They must also be used in control systems like temperature regulation!

Teacher
Teacher

Excellent example! These systems ensure that the output maintains a set point, which is essential in many engineering applications. Let’s summarize: feedback is key to stability and functionality in circuit designs.

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section delves into feedback systems, particularly focusing on their configurations, types, and significance in analog electronic circuits.

Standard

The section explores the fundamentals of feedback systems in amplifiers, detailing their configurations and types, specifically negative and positive feedback. It emphasizes the importance of understanding these concepts for deriving transfer characteristics and practical applications in electronic circuits.

Detailed

Model Assumptions and Validity

Feedback systems are critical in the field of analog electronic circuits. This section begins with an introduction to the basic feedback theory, highlighting the importance of feedback in amplifying systems. It covers the two primary types of feedback: negative (-ve) and positive (+ve) feedback. The distinctions between these feedback types are elaborated upon through various examples, with a strong focus on how feedback affects the overall system response.

Key Points:

  1. Basic Feedback Theory:
  2. In amplifier systems, feedback refers to the process of routing a portion of the output signal back to the input.
  3. The combination of the input signal and the feedback signal determines the net input for amplification.
  4. Types of Feedback Systems:
  5. Negative Feedback: When the feedback signal counters the input signal, leading to stabilization and reduced distortion.
  6. Positive Feedback: When the feedback signal enhances the input signal, potentially leading to instability.
  7. Importance of Transfer Characteristics:
  8. The section discusses the derivation of transfer characteristics for feedback systems, essential for analyzing amplifier behavior.
  9. Model Validity:
  10. It's crucial to understand the assumptions behind these feedback models, especially in terms of linearity, unidirectionality, and loading effects for accurate circuit analysis and application.

This section serves as a foundation for understanding how feedback mechanisms operate in electronic circuits, aiding in designing stable and effective systems.

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Analog Electronic Circuits _ by Prof. Shanthi Pavan
Analog Electronic Circuits _ by Prof. Shanthi Pavan

Audio Book

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Applicability of the Model

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As I said that applicability of this model and whatever we see A = f. In fact, whatever we have discussed it is valid for the signal in time domain. So, for time domain analysis, we may use this model and we can make use of this formula. This is also valid for frequency domain analysis. So, as long as in the system it is linear and time invariant, we can make use of this formula.

Detailed Explanation

The model discussed in the feedback system is applicable for both time domain and frequency domain analyses. It can be utilized whenever the system being considered is linear (that is, it behaves in a predictable way and the output changes proportionally with the input) and time-invariant (meaning that the system's behavior doesn't change over time). This is important in circuit design, as it indicates the model can be reliably used in various signal processing scenarios.

Examples & Analogies

Imagine using a recipe to bake cookies. As long as you follow the same recipe (the linear part) and it doesn't change what ingredients you use each time (time-invariance), you will get similar results each time you bake. In circuit design, as long as the system behaves consistently and predictably, the same model can be applied.

Assumptions in the Model

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We need to be very careful of what are the assumptions we are making. We need to be whenever we will be deploying this model in a practical circuit, we need to be aware of that. First of all the forward amplifier and feedback path they are unidirectional which means that we assume that signal it is propagating from left to right through this forward amplifier. And the through the feedback path on the other hand the signal it is going from right to left.

Detailed Explanation

When using this model, it is crucial to understand the assumptions underlying it. One key assumption is that the forward amplifier and the feedback path are unidirectional, meaning that signals should only flow in specified directions. The amplifier takes the input signal and amplifies it in one direction while the feedback path takes a portion of the output signal and brings it back to the input, creating a closed-loop system. If signals were to travel in the opposite direction in either case, the model would need modification to maintain accuracy.

Examples & Analogies

Visualize a one-way street with a traffic flow. Vehicles (signals) can only go in one direction on this street (through the amplifier), while another separate road (feedback path) allows the same vehicles to return in a controlled manner. If cars started going the wrong way on the one-way street, traffic would become chaotic, similar to how incorrect signaling in an electrical circuit can lead to failure to amplify properly.

Loading Effects Consideration

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The second assumption we need to be careful it is the loading effects. We are considering that loading effects either ignorable or probably they are considered in the transfer function. What do I mean by that is that. Whenever we say sampling the signal from this point and we are feeding the signal to this feedback network naturally, this output port it is getting loaded by input impedance or input condition of the feedback network.

Detailed Explanation

Another assumption in the feedback system model is about loading effects, which refers to how the feedback circuit impacts the original signal. When a signal is sampled from the output and sent to the feedback circuit, it can be affected by the input impedance of that feedback circuit, which might change the quality of your signal. The assumption here is that either these effects are negligible, or that they are already integrated into the transfer function definitions for accurate modeling.

Examples & Analogies

Imagine pouring a drink into a glass that is too small. The drink (signal) will not just fill the glass but might also overflow or change the way it comes out (loading effects). Similarly, when an electrical signal interacts with the components of a circuit, the characteristics of that signal can change based on the components it encounters.

Mapping Practical Signals

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Likewise, whenever we do have the feedback network having a transfer function of Ξ² from here to here. And then once you are connecting this output to the input port along with the primary source, whatever the loading effect it may be coming from the input characteristic of the amplifier and or the impedance of the signal source, we are assuming that is already considered.

Detailed Explanation

In more complex scenarios, when connecting feedback networks to amplifiers, we assume that any loading effects due to the input characteristics of the amplifier and the impedance of the signal source have already been taken into account. Thus, the transfer function used should reflect these interactions adequately for accurate performance of the overall circuit.

Examples & Analogies

Think of a garden hose connected to a sprayer. The water (signal) needs to travel down the hose and out through the sprayer. If there are kinks (loading effects) in the hose or if the sprayer has a blocked nozzle, the flow of water is affected. When setting up the equation for the water flow rate, one has to consider these kinks and blockages to ensure that the water flows as intended.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Feedback System: Involves routing output signals back to inputs to control outputs.

  • Negative Feedback: A feedback type that stabilizes systems and reduces distortion.

  • Positive Feedback: Amplifies input signals and can lead to unstable outputs if not controlled.

  • Transfer Characteristics: The mathematical relationship between inputs and outputs in a system.

  • Loading Effects: The influence of external circuit connections on system performance.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • In audio amplifiers, negative feedback reduces signal distortion, leading to clearer sound.

  • In temperature control systems, positive feedback can produce heating effects if not moderated, showcasing the necessity of careful feedback management.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎡 Rhymes Time

  • In feedback we trust, to reduce the noise and bust!

πŸ“– Fascinating Stories

  • Imagine a teacher adjusting a class's noise based on feedback from students, quieting those who chat too loud. This shows how feedback can stabilize a system.

🧠 Other Memory Gems

  • Use 'SIP' to remember: Stability from Inhibition - for Negative Feedback, and Positive Feedback causes Instability.

🎯 Super Acronyms

STAY

  • Stability Through Appropriate Yielding - remember for managing Positive Feedback.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Feedback System

    Definition:

    A system where a portion of the output signal is routed back to the input to control the output.

  • Term: Negative Feedback

    Definition:

    A feedback mechanism where the feedback signal opposes the input signal, stabilizing the system.

  • Term: Positive Feedback

    Definition:

    A feedback mechanism where the feedback signal reinforces the input signal, potentially leading to instability.

  • Term: Transfer Characteristic

    Definition:

    The relationship between the output and input of a system that incorporates feedback.

  • Term: Loading Effects

    Definition:

    The impact on the performance of a circuit due to the connections of other components.

  • Term: Assumptions in Feedback Systems

    Definition:

    Basic assumptions made for analyzing feedback systems, including linearity and unidirectionality.