When ω Increases, the LAPLACE TRANSFORM Shrinks — Here's WHY (with Graphs!)
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YouTubeBill Kinney
When ω Increases, the LAPLACE TRANSFORM Shrinks — Here's WHY (with Graphs!)
In this video, we visualize how the signal frequency ω affects the Laplace transform of a cosine signal using Wolfram Mathematica. On the left, we see the signal f(t) = cos(ωt). In the middle, we graph the Laplace transform integrand f(t)*e^(-st) = cos(ωt)e^(-st), with signed areas shaded and labeled to show positive and negative ...
1.4K views1 month ago
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