11: Laplace Transform and Continuous Time System Design
- Page ID
- 22913
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- 11.1: Laplace Transform
- Describes Laplace transforms.
- 11.2: Common Laplace Transforms
- Lists signal and region of convergence for several Laplace transforms.
- 11.3: Properties of the Laplace Transform
- A table of Laplace Transform properties.
- 11.4: Inverse Laplace Transform
- This module describes the inverse Laplace transform (based on Inverse Z-transform module by Benjamin Fite, notation changed).
- 11.5: Poles and Zeros in the S-Plane
- This module will look at the relationships between the Laplace transform and the complex plane. Specifically, the creation of pole/zero plots and some of their useful properties are discussed.
- 11.6: Region of Convergence for the Laplace Transform
- Explains how to find the region of convergence for continuous-time linear time-invariant systems.
- 11.7: Rational Functions and the Laplace Transform
- This module will introduce rational functions and describe some of their properties. In particular, it will discuss how rational functions relate to the Laplace and provide a useful tool for characterizing LTI systems.
- 11.8: Differential Equations
- This module describes the use of the Laplace transform in finding solutions to differential equations.
- 11.9: Continuous Time Filter Design
- Describes how to design a general filter from the Laplace Transform and its pole/zero plots.