Ve216 LECTURE NOTES
Dianguang Ma Spring 2009
Course Information
Code: Ve216 Credits: 4 Prerequisite: Applied Calculus Required Textbook: Signals and Systems, 2/e, by Simon Haykin and Barry Van Veen,
Ve216 Lecture Notes
Dianguang Ma Spring 2009
The Discrete-Time Unit Step Function Definition
1, n 0 u[n] = 0, n < 0
The Discrete-Time Unit Step Function
The Continuous-Time Unit Step Function
Definit
Ve216 Lecture Notes
Dianguang Ma Spring 2009
2.1 Introduction
In this chapter, we examine several methods for describing the relationship between the input and output signals of linear time-invariant
Ve216 Lecture Notes
Dianguang Ma Spring 2009
2.9 Differential/Difference Equations
An important class of continuous-time/discretetime systems is that for which the input and output are related throug
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 3
Fourier Representations of Signals and LTI Systems
3.1 Introduction
In this chapter, we represent a signal as a weighted superposition of comple
Ve216 Lecture 10
Dianguang Ma Spring 2008
Chapter 3 (Part II)
Fourier Representations of signals and LTI Systems
3.5 The Fourier Series
Example 3.14 Square-wave partial-sum approximation: In 1898, an
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 3 (Part III)
Fourier Representations of Signals and LTI Systems
3.6 The Discrete-Time Fourier Transform The discrete-time Fourier transform (DTFT)
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 3 (Part IV)
Fourier Representations of Signals and LTI Systems
3.8 Periodicity Properties of Fourier Rrepresentations In general, representations t
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 4
Applications of Fourier Representations to Mixed Signal Classes
4.1 Introduction
When we use Fourier methods to (1) analyze the interaction betw
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 6 (Part I)
Representing Signals by Using Continuous-Time Complex Exponentials: The Laplace Transform
6.1 Introduction
The Laplace transform is a g
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 6 (Part II)
Representing Signals by Using Continuous-Time Complex Exponentials: The Laplace Transform
6.3 The Unilateral Laplace Transform
There a
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 7 (Part I)
Representing Signals by Using Discrete-Time Complex Exponentials: The z-Transform
7.1 Introduction
The z-transform is a generalization
Ve216 Lecture Notes
Dianguang Ma Spring 2009
Chapter 7 (Part II)
Representing Signals by Using Discrete-Time Complex Exponentials: The z-transform
7.6 The Transfer Function
Having defined the transfe