# Inverse z transform

Discussion in 'Homework Help' started by xxxyyyba, Apr 23, 2015.

1. ### xxxyyyba Thread Starter Member

Aug 7, 2012
249
2
Hi!
How can I find inverse z transform of $X(z)=\frac{5}{(z-2)^{2}}$ ? It is known that x[n] is causal.

2. ### WBahn Moderator

Mar 31, 2012
17,454
4,701
You need to show YOUR best attempt to solve YOUR homework problem.

You might consider what property of the Z-transform 1/(z^2) represents and what property of the Z-transform (z-2) represents.

3. ### xxxyyyba Thread Starter Member

Aug 7, 2012
249
2
I know that inverse z transform of 1/(z^k) is delta(n-k).
Ok, here is what I have done:

I stuck there.

Last edited: Apr 24, 2015
4. ### MrAl Well-Known Member

Jun 17, 2014
2,220
435
Hi,

Here is a cleaned up image. It's a bit easier to read and takes less bytes.

File size:
194.1 KB
Views:
14
5. ### xxxyyyba Thread Starter Member

Aug 7, 2012
249
2
Here is Latex version: