EE480: Digital Signal Processing

CATALOG DATA

Theory and mathematics of discrete signals and linear systems. Includes the Z-Transform, Fourier Transform, and Fast Fourier Transform; Sampling, reconstruction, and multirate systems; IIR and FIR digital filter design, digital filter structures, and (finite word length) numerical effects.

COREQUISTES AND PREREQUISITES

Prerequisites EE361(Signals and Systems II) with a grade of C or better. Advanced Standing required.

CREDITS-CONTACT HRS:

3 Credit hrs, 2.5 Contact hrs/week

RELEVANT TEXTBOOKS

A.V. Oppenheim and R.W. Schafer, Discrete-Time Signal Processing, 2009, Prentice Hall, ISBN-13: 978-0131988422

J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications, 2006, Prentice Hall, ISBN-13: 978-0131873742

M.H. Hayes, Schaum’s Outlines: Digital Signal Processing, 2011, McGraw-Hill, ISBN-13: 978-0071635097

S.K. Mitra, Digital Signal Processing: A Computer-Based Approach, 2010, McGraw-Hill, ISBN-13: 978-0077366766

COURSE COORDINATOR

Brendan Morris

COURSE INSTRCUTORS

Peter Stubberud, Sahjendra Singh, Pushkin Kachroo, EbrahimSaberinia, Brendan Morris

COURSE TOPICS

  1. Discrete-time signals and systems
  2. Linear time-invariant (LTI) systems and properties
  3. Difference equation description of LTI systems
  4. Discrete-time Fourier transform
  5. Z-transform
  6. Properties of z-transform
  7. Properties of the region of convergence (ROC)
  8. Inverse z-transform methods of inspection, partial fractions, and power series expansion
  9. Sampling of continuous-time signals
  10. Periodic sampling and reconstruction
  11. Multirate systems
  12. Transform analysis of LTI systems
  13. Frequency response and group delay
  14. All-pass, minimum phase, and generalized linear phase systems
  15. Structures for discrete-time systems
  16. Block and signal flow graph representations
  17. Basic structures for IIR and FIR systems
  18. Direct forms, cascade form, parallel form
  19. Filter design techniques
  20. IIR filter design from continuous-time filters
  21. FIR filter design by windowing
  22. Discrete and fast Fourier transforms

COURSE OUTCOMES (Student outcomes) [UULO course outcomes]

Upon completion of this course, students will be able to:

  1. Represent and analyze a discrete-time system (a, b, k) [1, 2]
  2. Model an LTI system by linear difference equations
  3. Determine the discrete-time Fourier Transform of signals and systems
  4. Determine the z-transform of a signal and system
  5. Use sampling techniques to study LTI systems (a b, c, e, k) [1,2]
  6. Determine the sampling constraints necessary for signal reconstruction without aliasing
  7. Use up- and down-sampling of signals in multirate system to improve signal processing
  8. Represent IIR and FIR structures for discrete-time systems (a, b, c, e, , k, [1, 2]
  9. Design IIR and FIR digital filters (a, b, e, k)[1, 2]
  10. Determine the sampling constraints necessary for signal reconstruction without aliasing
  11. Use up- and down-sampling of signals in multirate system to improve signal processing
  12. Represent a finite length sequence by its discrete Fourier transform and compute the fast Fourier transform (a, b, k) [1, 2]

STUDENT OUTCOMES

(a) an ability to apply knowledge of mathematics, science, and engineering

(b) an ability to design and conduct experiments, as well as to analyze and interpret data

(c) an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability

(d) an ability to function on multidisciplinary teams

(e) an ability to identify, formulate, and solve engineering problems

(f) an understanding of professional and ethical responsibility

(g) an ability to communicate effectively

(h) the broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context

(i) a recognition of the need for, and an ability to engage in life-long learning

(j) a knowledge of contemporary issues

(k) an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.

UULO COURSE OUTCOMES

1. Intellectual Breadth and Lifelong Learning

2. Inquiry and Critical Thinking

3. Communication

4. Global/Multicultural Knowledge and Awareness

5. Citizenship and Ethics

Computer Usage

Students use computational software (such as Matlab) to create and analyze discrete-time systems. Instruction of computational software and its application to discrete-time signals and systems takes place in EE480L.

Grading

Homework: 20%

Midterms: 50%

Final: 30%

Course Syllabus Preparer and Date

Brendan Morris 5/8/2018