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Laplace and Systems Control and Analysis 
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#1
Feb813, 11:32 AM

P: 63

Using Laplace can someone please show me in simple terms how i would solve the following function? This is a lecture example. The solution just shows the answer, nothing about how we get it or what it represents. I am finding this subject particularly difficult to come to grips with.
δ(t1) Can you also explain what the function represents? Thanks mm 


#2
Feb1113, 05:35 AM

HW Helper
Thanks
P: 5,496

δ(t1) is an impulse at t=1, so it has no value at other values of time
it represents a rectangular pulse of area = 1 the width of the impulse is very narrow, approaching 0.00 nanoseconds which means its height is correspondingly high, tending to infinity. In practice, a realistic approximation to the delta function is plenty good enough for testing the impulse response of realworld systems. Sorry, I can't relate it to Laplace, I have forgotten the topic through disuse. Try searching google. 


#3
Mar113, 12:29 PM

P: 27

The key point to know when computing the laplace of the dirac delta function is that the
∫[f(t)*δ(tε)]dt from {0 to t} = f(ε) because δ(tε) = 0 everywhere except ε and ∫(δ) from {0 to ∞} =1. 


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