## EE 451

Lecture Outline for Fall 2000

1. Wednesday 8/23

• Introduction to Digital Signal Processing (Chapter 1)
• Continuous-time (CT) vs Discrete-time (DT) Signals
• Frequency of CT and DT signals
• MATLAB code used to make plots shown in class

2. Friday 8/25

• Introduction to Digital Signal Processing (Chapter 1)
• Frequency of CT and DT signals
• Sampling of CT signals to create a DT signal
• Aliasing of CT signals
• MATLAB code used to make plots shown in class
3. Monday 8/28

• Discrete Time Signals and Systems (Sections 2.1 - 2.4)
• Brief review of material from EE 342
• Basic DT signals - Impulse, step, exponential, sinusoid
• DT signals - Energy and Power signals
• Basic DT systems
• Classification of DT systems -- Linear, Time Invariant, Causal, Stable, Finite Impulse Response, Infinite Impulse Response
• DT systems represented by difference equations -- Linear and Time Invariant
• Introduction to time-domain solutions of difference equations
• MATLAB code used to make plots shown in class
• Handout from class

4. Wednesday 8/30

• Discrete Time Signals and Systems (Section 2.4)
• More on the solution of difference equations in the time domain

5. Friday 9/1

• Discrete Time Signals and Systems (Sections 2.4 and 2.5)
• Finish up discussion of the solution of difference equations in the time domain
• Implementation of discrete-time systems
• Block-diagram representation of difference equations
• Manipulation of block diagram representations -- Direct Form I and Direct Form II representations

6. Wednesday 9/6

• Introduction to the Z-Transform (Section 3.1)
• Definition of the z-transform, and its relationship to the Fourier transform
• Z-transforms of some basic signals
• Region of convergence of the z-transform -- what it says about x(n) (left-handed vs. right-handed sequences).

7. Friday 9/8

• More on the Z-Transform (Sections 3.2 and 3.3)
• Properties of z transforms
• Poles and zeros of z transforms
• Tranfer functions

8. Monday 9/11

• Inverse Z-Transform (Section 3.4)
• Inversion by partial fraction expansion
• Relationship of the transfer function to the difference equation describing a system
• MATLAB code used to make plots shown in class

Bill Rison, <rison@ee.nmt.edu >