- #1

mathrocks

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More specifically I'm trying to find the Laplace transform of x(t)=[tri(t-1)]e^(-3t)

And I was told you have to convert the tri(t-1) part to a unit impulse and then it become easy.

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- Thread starter mathrocks
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- #1

mathrocks

- 106

- 0

More specifically I'm trying to find the Laplace transform of x(t)=[tri(t-1)]e^(-3t)

And I was told you have to convert the tri(t-1) part to a unit impulse and then it become easy.

- #2

Astronuc

Staff Emeritus

Science Advisor

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In that case, start with a ramp t, then figure what must be added to ramp down.

It's a bit like making a square/rectangular function by superimposing step functions, e.g. u(t) - u(t-1).

- #3

mathrocks

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Astronuc said:

In that case, start with a ramp t, then figure what must be added to ramp down.

It's a bit like making a square/rectangular function by superimposing step functions, e.g. u(t) - u(t-1).

So would it be ramp(t)+ramp(-t-1)

If that's the case, then how would you find the Laplace of that when it replaces tri(t-1)?

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