Preliminary Course Syllabus

EE 4364 and EE 5364: Digital Signal Processing

Spring 2001, 8:00 - 9:20 TT

Important Note:
The course syllabus may be subject to changes. These changes will be posted on the web site.

Interesting Web Sites:

Signals, Systems, Control Demonstrations, John Hopkins University
The WebEng Project
The Systool Project, University of Erlangen, Germany
Applets for "Random Signals and Noise", Georgia Institute of Technology
Online Courses and Lectures, Techonline University offers free online courses and lectures (you have to register, it is for free but if you do not want to register, take my email address as login)
Introduction to DSP, BORES Signal Processing
Digital Signal Processing Tutorial
Online Lecture on Digital Signal Processing (with audio and video), Arizona State University
EE345S Real-Time Digital Signal Processing Laboratory - Resources, Prof. B. Evans, UT Austin

Preliminary Syllabus:

Introduction (Textbook Sections 1 and 2.0) (Thursday, January 11, 2001)
- What is signal processing and what are its applications?
- How can we approximate analog signal processing using digital signal processing?
- Why should we use digital signal processing instead of analog signal processing?
- What hardware is available for digital signal processing?
- What is the difference between digital signal processing and time-discrete signal processing?
See also the following web material:

Discrete-Time Signals: Sequences (Textbook Section 2.1)

Mathematical repesentation of a discrete-time signal
Obtaining a discrete-time signal from an analog signal
Basic sequences: (MATLAB: basic_sequences.m) (Tuesday, January 16, 2001)

Unit sample sequence (discrete-time impulse, impulse)
Unit step sequence
Exponential sequences
Sinusoidal sequences

Properties of exponential and sinusoidal sequences: (MATLAB: sinusoids.m)

Indistinguishable frequencies
Periodicity
High and low frequencies

See also the following web material:

Lecture "An Overview of Digital Signal Processing", Techonline University

Discrete-Time Systems (Textbook Sections 2.2-2.4)
- Introduction: What is a discrete-time system?
- Classification of discrete-time systems
  - Memoryless system
  - Linearity
  - Time invariance
  - Causality
  - Stability
  Java Applet Demonstration on "System Properties", John Hopkins University
- Linear time-invariant (LTI) systems (Thursday, January 18, 2001)
  - Impulse response
  - Convolution (MATLAB: conv_example.m, complete.wav)
    Java Applet Demonstration on "Joy of Convolution", John Hopkins University
  - Causality and Stability (Tuesday, January 23, 2001)
See also the following web material:
- Java Applet Demonstrations on "Digital Signal Processing Tools", The Webeng Project
  - Convolution / FIR Filter / Correlation
Sampling and Reconstruction (Textbook Sections 4.0-4.4 and 4.8)
- Periodic sampling: (MATLAB: samp_example.m)
  - How can we obtain a discrete-time sequence from a continuous-time signal?
  - What influence has the sampling period?
  Java Applet "Demonstration of Aliasing of a Sinusoidal Signal"
- Ideal continuous-to-discrete-time converter
  - How can we model periodic sampling mathematically?
  - What is the influence of sampling in the frequency domain?
- Reconstruction of bandlimited sinals from its samples (Thursday, January 25, 2001)
  - How can we model signal reconstruction mathematically?
  - What happens in the frequency domain during reconstruction?
  - What sampling rate do we need to perfectly reconstruct a bandlimited signal from its samples (Sampling Theorem)
  Java Applet Demonstration on "Samplemania", John Hopkins University
- Limitations of analog-to-digital converters (Tuesday, January 30, 2001)
- Discrete-time processing of continuous-time signals
See also the following web material:

Discrete-Time Fourier Transform (Textbook Sections 2.6 - 2.9) (Thursday, February 1, 2001)
- Representation of sequences in the frequency domain
- What is the connection to the Fourier Transform of a continuous-time signal?
- Properties of the discrete-time Fourier Transform (DTFT)
  - Symmetry properties
  - Linearity (Tuesday, February 6, 2001)
  - Time shifting and frequency shifting
  - Differentiation in frequency
  - Parseval's Theorem
  - Convolution Theorem
- Frequency representation of LTI systems (MATLAB: freq_example.m, filter_example.m, arpeggio.wav)
See also the following web material:

Z-Transform (Textbook Sections 3.0 - 3.5) (Thursday, February 8, 2001)
- Extension of the DTFT to the complex plane
- Definition of the z-transform and region of convergence (ROC)
- Examples
  - Right-sided sequence (Thursday, February 15, 2001)
  - Left-sided sequence
  - Two-sided sequence
- Inverse z-transform (Tuesday, February 20, 2001)
  - Formal definition of the inverse transform
  - Inverse transform by "inspection"
  - Partial fraction expansion
  - Power series expansion
  MATLAB: ztransform.m
- Z-transform properties
See also the following web material:
- Online Lecture on Digital Signal Processing (with audio and video), Arizona State University

Transform-Domain Analysis of LTI Systems (Textbook Sections 5.0 - 5.8) (Thursday, February 22, 2001)
- Introduction
  - Impulse response
  - Frequency Response
  - System function
- LTI Systems with rational system functions
  - Constant-coefficient difference equation
  - Stability and causality (Tuesday, February 27, 2001)
  - Inverse systems
- Relationship between the frequency response and the pole-zero plot (Tuesday, March 6, 2001)
- Classification of LTI systems (Thursday, March 8, 2001)
  - Systems with real valued system functions
  - All-pass systems
  - Minimum-phase systems
  - Systems with generalized linear phase
  - Systems with finite impulse response (FIR) and systems with infinite impulse response (IIR)
See also the following web material:

Midterm Exam (Thursday, March 1, 2001)

IIR Filters (Textbook Sections 6.0 - 6.3 and 7.0 - 7.1) (Tuesday, March 20, 2001)
- Introduction
- Continuous-time IIR filters
  - Butterworth filter
  - Chebychev Type I filter
  - Chebychev Type II filter
  - Eliptic filter
  - Bessel filter
  Matlab SP Toolbox: Comparison of Classical IIR Filter Types
  Frequency Transformation
- Design of discrete-time IIR filters from continuous-time IIR filters
  - Impulse invariant transform
  - Bilinear transform (Thursday, March 22, 2001)
  MATLAB: butterworth.m
- Filter design with Matlab: SPTool and FDATool
- Structures for IIR filters (struct.pdf) (Tuesday, March 27, 2001)
  - Direct form / transversal form
  - Cascade form
  - Parallel form
  - Lattice-ladder form
See also the following web material:

FIR Filters (Textbook Sections 6.4 - 6.5 and 7.2 - 7.5) (Thursday, March 29, 2001)
- Introduction
- Linear phase FIR filters
- Design of linear phase FIR filters (Tuesday, April 3, 2001)
- Filter design with Matlab: SPTool and FDATool
- Structures for FIR filters (Tuesday, April 10, 2001)
  - Direct form / transversal form
  - Cascade form
  - Lattice form
See also the following web material:

Discrete Fourier Series (Textbook Sections 8.0 - 8.2)
- Introduction
- Definition and Examples
- Properties of the Discrete Fourier Series
- Connection with Discrete Time Fourier Transform

Discrete Fourier Transform (Textbook Sections 8.3 - 8.5)

Tanja Karp, May 2001