COURSE TITLE: EECS 359 Digital Signal Processing

CATALOG DESCRIPTION: Discrete-time signals and systems, Discrete-Time Fourier Transform, z-Transform, Discrete Fourier Transform, Digital Filters.

REQUIRED TEXTS: A.V. Oppenheim and R.W. Schafer, with J.R. Buck, Discrete-Time Signal Processing, Prentice Hall 1998.

REFERENCE TEXTS: J.H. McClellan et al., Computer-Based Exercises for Signal Processing Using MATLAB 5, Prentice Hall 1998.

COURSE COORDINATOR: Thrasyvoulos N. Pappas

COURSE GOALS: To provide a comprehensive treatment of the important issues in design, implementation, and application of digital signal processing algorithms.

PREREQUISITES: EECS 222 or equivalent

PREREQUISITES BY TOPIC:

1. Signals and linear systems theory
2. Laplace and Fourier transform

DETAILED COURSE TOPICS:

1. Discrete-time signals and systems. Linear Time-Invariant (LTI) Systems.
   Linear constant-coefficient difference equations.
2. Frequency domain representation of discrete-time signals and systems.
   The Discrete-time Fourier transform.
3. The z-transform, the inverse z-Transform, z-Transform properties.
4. Sampling of continuous-time signals. Sampling Theorem. Sampling Rate Conversions.
5. Transform analysis of linear time-invariant systems. The Frequency Response of LTI Systems. Linear Systems with Generalized Linear Phase.
6. FIR and IIR filters. Structures for discrete-time systems.
7. Representation of Periodic and Finite-duration Sequences. The Discrete Fourier Series.
   The discrete Fourier transform. Linear and Circular convolution.
8. Computation of the discrete Fourier transform. Decimation-In-Time and Decimation-In-Frequency FFT Algorithms.
9. FIR and IIR filter design techniques.

COMPUTER USAGE: Students use MATLAB on a platform of their choice to do problems illustrating the above topics.

LABORATORY PROJECTS: See computer usage.

GRADES:

• Class attendance and participation - 5%
• Homework - 25%
• Midterm - 30%
• Final - 40%

COURSE OBJECTIVES: When a student completes this course, s/he should be able to:

1. Design linear discrete-time systems and filters and analyze their behavior.
2. Represent continuous-time signals and linear systems in discrete time, so that such signals can be recovered in continuous time when necessary.
3. Compute approximations to Fourier transforms of continuous-time signals with finite discrete time methods.
4. Take advanced courses in signal processing (image, speech, audio, etc.), communications, systems and control.