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3 cards from this section. Quick, good the night before a test.
What does the Dirac Delta Function represent?
Think of how it is used in engineering.
What is the integral of δ(t − a) over its range?
This is one of its defining properties.
What value does the integral of δ(t − a) over all time evaluate to?
Focus on the defining property of the function.
True or False: The Laplace Transform of δ(t) equals 0.
Recall the Laplace Transform results we've discussed.
Prove that the integral from -∞ to ∞ of δ(t − a) equals 1, using a continuous function.
Select an appropriate f(t) that you can evaluate easily.
Using the properties of the Laplace Transform, derive the transform of kδ(t − a) where k is a constant.
Break the problem down to the basic form of the singular impulse first.
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