Z-Transform signal recovery with partial fractions

Thread Starter

naickej4

Joined Jul 12, 2015
206
Hello All,

Please can someone check my answer and correct me along the way if I am making any mistakes and please teach me an easier method if I am doing something not correct.

upload_2016-10-24_14-52-40.png

Please find my attached pdf solution.
thank you.
 

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MrAl

Joined Jun 17, 2014
9,548
Hello there,

Just one question here.

In part of your solution:
4*(0.5)^n

are you allowed to state it that way or do you have to include the u[n] part too as in:
(4*(0.5)^n)*u[n]

or do you have a similar worked example already?

The idea is that the u[n] limits the 4*0.5^n to only positive values and then it converges.

The partial fraction part of your solution looks very good BTW.
 

Thread Starter

naickej4

Joined Jul 12, 2015
206
Hello Sir. Thank you. Yes you are correct. I was to add the u [n]
This is want beats me I tend to forget some parts of the function or swap the variables in the formulas.
Thank you.
 

MrAl

Joined Jun 17, 2014
9,548
Hi,

Believe me, you're not the only one. I am lucky i remember what to look up when i dont remember something :)

I still cant remember a solution to an ellipse where with quite a bit of manipulation of the equation we reduce it into a different equation with only one variable. Just cant remember 20 years back :)
 
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