# 01-03-2024: Electronics 6#

Date: Friday, March 1 2024

Location: Chip

Time: 10:45 - 12:30

Question of the day

How do we model and characterize the small-signal dynamic behavior of amplifiers?

## Knowledge Test#

Press the button(s) below to test your knowledge and understanding of the topics covered this lecture.

## Homework previous lecture#

SLiCAP files hearing loop system design of gain distribution and noise requirements: Lecture5.zip

See also the HTML report SLiCAP Hearing Loop Project -5-

## Amplifiers: modeling of small-signal dynamic behavior#

Physics and modeling of linear, time-invariant, dynamic systems

**Presentation**

The presentation "Physics and modeling of linear time-invariant dynamic systems" briefly discusses the physical meaning of poles and zeros and the modeling of lumped linear time-invariant dynamic systems.

**Pesentation in parts**

Physics and modeling of linear time-invariant dynamic systems (parts)

**Videos**

**Study**

Chapter 18

## Estimation of poles and zeros of electrical networks#

Nodal Analysis

**Presentation**

The presentation "Topics from network theory: Nodal Analysis" briefly summarizes the nodal analysis method.

**Presentation in parts**

**Video**

Nodal Analysis and Modified Nodal Analysis

**Study**

Chapter 18

Modified Nodal Analysis

**Presentation**

The presentation "Topics from network theory: Modified Nodal Analysis" briefly summarizes the modified nodal analysis method.

**Presentation in parts**

Modified Nodal Analysis (parts)

**Video**

EE3C11 lecture 6 Nodal Analysis and Modified Nodal Analysis

**Study**

Chapter 18

Poles and zeros of an electrical network

The poles of a network can be found as the eigenvalues of the time-constant matrix. This matrix can be derived from the MNA matrix, or simply be found from network inspection.

**Presentation**

The presentation "Estimation of poles and zeros of networks without feedback" Shows the way in which poles and zeros of electrical networks can be estimated with the aid of the time-constant matrix.

**Presentation in parts**

Estimation of poles and zeros of networks without feedback (parts)

**Videos**

Estimation of poles and zeros of networks without feedback, Resistance Matrix (2:27)

Estimation of poles and zeros of networks without feedback (9:02)

**Poster**

**SLiCAP**

**Study**

Chapter 18

## Downloads#

The presentations are summarized on the poster: "Poles and Zeros"

SLiCAP files oscilloscope probe. Or view the HTML output

## External links#

3Blue1Brown: Eigen values and eigen vectors

## Homework#

Homework 4: Derive requirements for the small-signal bandwidth of the transmit and receive amplifier of the hearing loop system.