# Going from the transfer function to the systems unit impulse response

#### u-will-neva-no

Joined Mar 22, 2011
230
Hey everyone, I have a transfer function which is:
$$H(S) = \frac{2}{3s} - \frac{1}{s+2} + \frac{1}{3(s+3)}$$

I would like to know the relationship between H(S) $$\Longleftrightarrow$$ h(t) because I am required to find h(t).

I know that the solution is: h(t) = $$\frac{2}{3}u(t) - exp(-2t) + \frac{1}{3}exp(-3t)$$

Thank you!

#### u-will-neva-no

Joined Mar 22, 2011
230
Okay I just solved this. Let me know if anyone would like to know how I did it.

How would I go about drawing the above function of h(t)? Graphical calculator is not allowed also!

#### u-will-neva-no

Joined Mar 22, 2011
230
Perhaps I should think a little more before posting. No need to help me on this post but message on here if you would like to know how to do it! Sorry..

#### steveb

Joined Jul 3, 2008
2,436
Sometimes talking about a problem makes it easier to solve it. Don't know why that is, but it seems to be often true.

We don't mind listening.