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
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
