Linear System Response and analysis - Laplace Transformations

Linear System Response and analysis - Laplace Transformations

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These videos look at the responses primarily of 1st and 2nd order systems. There is also some discussion of the use of Laplace tools for deriving system responses and, in support of this, some background work on skills needed to do inverse Laplace. The videos are reinforced with demonstrations of ho…

The University of Sheffield


    • May 13, 2014 LATEST EPISODE
    • infrequent NEW EPISODES
    • 13m AVG DURATION
    • 4 EPISODES


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    Latest episodes from Linear System Response and analysis - Laplace Transformations

    Laplace 1- introduction and basic functions

    Play Episode Listen Later May 13, 2014 13:50


    Gives the definition for a Laplace transform and from there derives the transforms for exponentials, steps and simple power functions.

    Laplace 3 - derivatives

    Play Episode Listen Later May 13, 2014 15:04


    Shows have the definition of Laplace leads to the transform for an nth order derivative and thus how one can apply Laplace to determine the solution for differential equations.

    Laplace 4 - miscellaneous useful topics

    Play Episode Listen Later May 13, 2014 10:43


    Covers some topics that may be useful from time to time such as the Lplace of an integral, a delayed signal and impulse function. Also summarises content from 1st 4 videos.

    Laplace 2 - sinusoids and shift rule

    Play Episode Listen Later May 13, 2014 13:53


    Extends video 1 by introducing sinusoidal signals and the shift theorem, thus also considering sinusoids scaled by an exponential.

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