ELEC 215: Tim Woo
Spring 2009/10
Chapter 2 - 1
Chapter 2: Laplace Transform
Spring 2009/10
Lecture: Tim Woo

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ELEC 215: Tim Woo
Spring 2009/10
Chapter 2 - 2
Laplace
Transform
Where we are
Differential
equations
State-space
model
CTFT
Hardware
Implementation
System
Characteristics
System
Responses
Closed-loop
Systems
Continuous-time
z-Transform
Difference
equations
State-space
model
DTFT
Hardware
Implementation
System
Characteristics
System
Responses
Closed-loop
Systems
Discrete-time
Mapping
Done in 211
To be covered
In progress
Done
Will be covered if available
Open-loop
Systems
Open-loop
Systems

ELEC 215: Tim Woo
Spring 2009/10
Chapter 2 - 3
Expected Outcome
•
In this chapter, you will be able to
–
Calculate the (Bilateral) Laplace transform of time-domain
signals
–
Summarize the properties of Laplace transform
–
Analyze the characteristics of signals and system from the
information of s-plane without evaluating the inverse of Laplace
transform.
–
Calculate the inverse Laplace transform associates with different
Regions of Convergence.
–
Compare the conditions between Bilateral Laplace Transform
and Unilateral Laplace Transform
–
Summarize the properties of Unilateral Laplace Transform

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ELEC 215: Tim Woo
Spring 2009/10
Chapter 2 - 4
Outline
•
Section 9.0 Introduction
•
Section 9.1 The Laplace Transform
•
Section 9.2 The Region of Convergence for Laplace
Transforms
•
Section 9.5 Properties of the Laplace Transform
•
Section 9.6 Some Laplace Transform Pairs
•
Section 9.3 The Inverse Laplace Transform
•
Section 9.9 The Unilateral Laplace Transform