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.
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.
Percentage of Course
|1. Definition of signals, systems, and the properties of linearity, causality, time invariance, and stability||10%|
|2. Convolution representation||10%|
|3. Fourier series||15%|
|4. Fourier transforms and continuous-time filtering||20%|
|5. Laplace Transforms||20%|
|6. Transfer functions and frequency response||15%|
|7. Hands-on applications to circuits and other physical systems||10%|