Tell me more ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
up vote 0 down vote favorite

Hi i am really stuck trying to do this convolution in order to find zero state response. The convolution table only contains $(e^t)u(t)$ not $u(-t)$ can someone show me the steps with some brief explanation as well?

$x(t) * h(t)$

where

$x(t) = e^tu(-t)$

$h(t) = -\delta (t) + 2e^{-t} u(t)$

share|improve this question
What is $x(t)*h(t)$? Recall that $x(t)$ and $h(t)$ are numbers, not functions. – Did Oct 22 '11 at 16:50
1  
I assume that this is homework since the question is typical of those asked in a first course on "Signals and Systems" in an electrical engineering curriculum. If so, please add the homework tag. I won't give you the answer but only a hint or two. I doubt very much that your convolution table has $e^tu(t)$ in it; it probably has $e^{−t}u(t)$. My recommendation is to draw a sketch of $e^{−t}u(t)$ and of the function $e^{t}u(-t)$ to see what the functions look like. Then, $$x(t)∗h(t) = -x(t)∗δ(t) + 2(e^{t}u(-t))∗(e^{−t}u(t))$$ where at least one convolution is probably in your table. – Dilip Sarwate Oct 23 '11 at 3:08

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.