Analysis techniques for signals and systems. Signal representation, including Fourier and Laplace transforms. System definitions and properties, such as linearity, causality, time invariance, and stability. Use of convolution, transfer functions and frequency response to determine system response. Applications to circuit analysis. Hands-on projects to illustrate and integrate the various concepts.
Why take this course?
This course introduces the mathematical analysis tools needed for the study of signals, signal processing, system description, and system response. These tools include Fourier methods, Laplace transforms, and frequency response concepts that constitute the fundamental analysis methods in all of engineering. Course concepts are illustrated and integrated by means of a couple of hands-on projects. This course prepares students for further study in all areas of electrical engineering, but is especially critical in communications, control systems, and electronics.
Required for all EE and CPE majors
C- or better in 2004, 2074, MATH 2214
This course requires the students to know basic circuit analysis methods, differential equations, and complex numbers. Because this material is traditionally taught in the first and second years of the engineering curriculum, the student must have sophomore-level skills in order to successfully complete this course.
Major Measurable Learning Objectives
Describe a physical process in terms of signals and systems and describe the properties of the system
Calculate the Fourier series of a periodic signal
Calculate the spectrum of a signal using the Fourier transform
Solve a differential equation using the Laplace transform
Calculate the steady state output of a system from the frequency response plots
Make experimental measurements on simple physical systems and compare the results to time and frequency-domain analytical results
Percentage of Course
1. Definition of signals, systems, and the properties of linearity, causality, time invariance, and stability
2. Convolution representation
3. Fourier series
4. Fourier transforms and continuous-time filtering
5. Laplace Transforms
6. Transfer functions and frequency response
7. Hands-on applications to circuits and other physical systems