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Modelling in frequency domain

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Modeling in the frequency domain involves representing systems, signals, or processes using frequency-dependent representations such as Fourier series, Fourier transforms, or Laplace transforms. It allows for analyzing how systems respond to different frequencies, making it useful in various fields...

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  • June 13, 2024
  • 50
  • 2023/2024
  • Class notes
  • Nelson bett
  • All classes
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Chapter 2
Modeling in the Frequency Domain_1st

, Table of Contents
• Introduction

• Laplace Transform Review

• Transfer Function

• Electrical Network Transfer Function

, Introduction

• System’s schematic
• Make many simplifying assumptions in order to keep the ensuing model
manageable and to approximate physical reality.


• Two methods to develop mathematical models from
schematics of physical systems
• Transfer function in the Frequency domain system
• State equations in the time domain system

, Laplace Transform Review

• The Laplace transform is defined as

¥

ò f (t )e
- st
L[ f (t )] = F ( s ) = dt (2.1)

0-

s = s + jw
• 0-: f(t) is discontinuous at t=0

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