- #1
zoom1
- 65
- 0
Homework Statement
Given the following difference equation;
x(k+2)-x(k+1)+0.25x(k)=u(k+2)
where
x(0)=1; x(1)=2; u(k)= 1 for k=1,2,3,…
Homework Equations
Z- transformation
The Attempt at a Solution
To be able to solve this difference equation, I think I need to transform it into z domain then after some manipulations I need to convert it back to discrete time signal.
Here's my attemp
z2 X(z) - z2 X(0) - zX(1) - [zX(z) - zX(0) ] + 0.25X(z) = z2 [z/(z-1)]
u(k+2) is the step input. Transformation of step is z/(z-1). However, I'm not sure about the transformation of u(k+2)
Even if it is z2 [z/(z-1)], I couldn't proceed further with the equation I obtained.
I would appreciate any help