ECE 313 - Signals and Systems

 

INSTRUCTION TEAM

Lectures: Prof. Marco F. Duarte, Marcus Hall 215I, mduarte@ecs.umass.edu
Office Hours: Monday 2:00pm-3:00pm, Tuesday 10:00am-11:00am (or by e-mail appointment)
Roles: Lectures, Exams

Discussions: Prof. Patrick Kelly, Marcus Hall 215B, kelly@ecs.umass.edu
Office Hours: Monday 1:00pm-2:00pm, Thursday 10:00am-11:00am (or by e-mail appointment)
Roles: Recitations, Homeworks, Quizzes

Teaching Assistants: (Office Hours @ M5)
Hua Bai, huab@umass.edu
Natesh Ganesh, nganesh@umass.edu

COURSE FORMAT

Lectures: 10:10am-11:00am Monday, Wednesday, Friday @ S140 Integrative Learning Center.

Recitation: One 50-minute session Friday. Sections: 12:20pm, 1:25pm, and 2:30pm @ 305 ELAB.

DESCRIPTION

This course focuses on the study of signals and linear systems. It constitutes the basic theory behind a further study of communication theory and systems, control theory and systems, signal processing, microwave and radar systems, networking and almost all disciplines of electrical and computer systems engineering.

PREREQUISITES

Students must have obtained a grade of C or better in ECE 212, Circuit Analysis II.

TEXTBOOK

No textbook is required. Most of the content is covered in a collection (online course notes) in Connexions (cnx.org). You can browse through course modules (lecture notes) on the website or download them as PDF files to print. The collection URL is http://cnx.org/content/col11557/


Several options exist for students that want to follow a textbook during the course:


  1. B. P. Lathi, “Linear Systems and Signals,” Second Edition, Oxford, 2004. Pointers to this book will be provided in the course schedule.

  2. M. L. Roberts, “Fundamentals of Signals & Systems,” McGraw Hill, 2007.

  3. A. V. Oppenheim, A. S. Willsky, S. H. Nawab, “Signals and Systems,” Prentice Hall, 1997. (Available at the Science Library)

  4. H. Hsu, “Signals and Systems,” Schaum’s Outline Series, McGraw Hill, 2010.


The last book provides a large number of problems for exam preparation.


LECTURE SCHEDULE (TENTATIVE)


Week 1: Why Learn All This Math? Complex numbers. Graphical operations.

Part 1: Continuous-Time Signals and Systems

Week 2: Continuous-Time Signals. Basic Operations. Classifications and Properties.

Week 3: Continuous-Time Systems. Classification and Properties. System Analysis: Convolution.

Week 4: The Continuous-Time Fourier Transform. Advantages for Analysis (No convolution).

Week 5: Properties of the Continuous-Time Fourier Transform.

Week 6: More Properties of the Continuous-Time Fourier Transform. (Yes, it’s that useful)

Part 2: Discrete-Time Signals and Systems

Week 7: Discrete-Time Signals. Basic Operations. Classifications and Properties.

Week 8: Discrete-Time Systems. Classification and Properties. System Analysis: (Easier) Convolution.

Week 9: The Discrete-Time Fourier Transform. Properties and Advantages (Again, no convolution).

Week 10: Properties of the Discrete-Time Fourier Transform: Déjà-Vu All Over Again.

Part 3: From Continuous to Discrete: Sampling Theory

Week 11: Connecting Continuous and Discrete-Time Systems: Sampling. Aliasing.

Week 12: Discrete-Time Processing of Continuous-Time Signals: All About Bandwidth.

Week 13: Applications in Sensing and Communication. Connections with Other Topics.