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11: Laplace Transform and Continuous Time System Design

Last updated

Feb 23, 2021
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- 10.7: Discrete Time Processing of Continuous Time Signals
- 11.1: Laplace Transform

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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.

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