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
     • Periodic Continuous Time Signal

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
     • Two CT signals with different frequencies
     • Two DT signals with different frequencies
     • DT and CT signals with different frequencies
     • DT signal with frequency of 3/17 cycles/sample
     • Sampling and reconstructing a CT signal
     • Under-sampling and reconstructing a CT signal

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
       • Example 2.3.2 from the text
     • Handout from class
       • Solution of difference equations in the time domain

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
     • Use of residuez to find inverse z-transform