(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

consider the difference equation

x(n+2)-0.3679x(n+1)+0.3679x(n)=0.3679u(n+1)+u(n)

where u(n) is the input and given by

u(n)=0 n<0

u(0)=1

u(1)=0.2142

u(2)=-0.2142

u(n)=0 n=3,4,5.......

determine the output x(n)

3. The attempt at a solution

let A=0.3679 and B=0.3642

i took z transform for both sides so it became.

z^2 x(z)-z^2x(0)-zx(1)-A[zx(z)-zx(0)]+Ax(z)=A[zu(z)-zu(0)]+Bu(z)

x(z)[z^2-Az+A]+x(0)[Az-z^2]-zx(1)=A[zu(z)-zu(0)]+Bu(z)

x(z)[z^2-Az+A]=A[zu(z)-zu(0)]+Bu(z)-x(0)[Az-z^2]+zx(1)

then what can i do?

also how can i make use of u(1)=0.2142

u(2)=-0.2142

i am too confused and need help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Z transform question.

**Physics Forums | Science Articles, Homework Help, Discussion**