ECE 213 - Continuous-Time
Signals and Systems

 

INSTRUCTION TEAM

Lectures: Prof. Marco F. Duarte, mduarte@ecs.umass.edu
Office Hours: Monday 12:00pm-1:00pm, Wednesday 12:30pm-3:30pm (or by e-mail appointment)
Roles: Lectures, Exams

Discussions: Prof. Do-Hoon Kwon, dhkwon@ecs.umass.edu
Office Hours: Tuesdays and Thursdays 4:00pm-5:00pm (or by e-mail appointment)
Roles: Discussions, Homeworks, Edfinity Quizzes

Computing Exercises: Prof. Bill Leonard, leonard@ecs.umass.edu

Teaching Assistants Office Hours:
Xingjian Chen: Wednesdays 5:00pm-6:00pm.
Sarah Lamotte: Wednesdays 6:00pm-7:00pm.
Ioannis Kyriakou: Thursdays 5:00pm-6:00pm.
Aleksa Deric: Thursdays 6:00pm-7:00pm.

All office hours via Zoom

COURSE FORMAT

Lectures: 10:10am-11:00am Monday, Wednesday, Friday via Zoom.

Discussions: One 50-minute session Monday. Sections: 12:20pm, 1:25pm, and 4:00pm via Zoom.

DESCRIPTION

This course focuses on the study of continuous-time signals and linear continuous-time systems. The focus will be on time- and frequency-domain analysis of linear, time-invariant systems and signals, including Fourier transforms, Laplace transforms, an introduction to sampling, and applications in communications and signal processing. Upon successful completion of this course, you should be able to:

  1. identify continuous-time signals and systems and their properties,

  2. compute and apply the Laplace transform for purposes of system and circuit analysis and filter design,

  3. compute and apply the continuous-time Fourier transform and the continuous-time Fourier series for purposes of discrete-time system analysis and digital filter design, and

  4. understand the role of sampling in signal acquisition and processing.

PREREQUISITES

ECE 201 Analytical Tools, ECE 202 Computational Tools, and ECE 210 Circuits and Electronics I.

TEXTBOOK

The courses will rely on a textbook available for download online as a PDF file for free: “Signals and Systems: Theory and Applications” by F. Ulaby and A. Yagle, physical copy can be purchased for ~$70.


LECTURE SCHEDULE (TENTATIVE)


Week 1:Introduction; review of complex numbers and complex exponentials; classes of signals.

Week 2:Operations on signals; signal properties; introduction to continuous-time LTI systems.

Week 3:Time domain analysis of LTI systems: impulse response, convolution; System properties: causality, stability.

Week 4:Differential equation representations, response to complex exponential inputs, canonical (direct form) implementations.

Week 5:Laplace Transform: poles and zeros, properties, transient responses of linear circuits.

Week 6:Partial fraction expansions, transfer functions, system stability, invertible systems.

Week 7:Laplace Transform applications: op-amp circuits, system synthesis, feedback control.

Week 8:Fourier Series: representations of periodic signals, application to circuit analysis.

Week 9:Fourier Transform: definition, properties.

Week 10:Fourier Transform for systems analysis: frequency response, magnitude and phase, frequency-selective filters.

Week 11:Fourier Transform applications: filter design, amplitude modulation.

Week 12:Sampling theorem: sampling of bandlimited signals, reconstruction from samples, aliasing.

Week 13:Applications of sampling: Discrete Fourier Transform (DFT), discrete-time implementations of continuous-time processing.