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The question is to find the difference equation relating u(k) and y(k), which are input and output respectively.
H(Z) is given as
H(Z) = [tex]\frac{1+(1/2)z^{-1}}{(1-(1/2)z^{-1})(1+(1/3)z^{-1})}[/tex]
Solution that is given:
y(k)-[tex]\frac{1}{6}[/tex]y(k-1)-[tex]\frac{1}{6}[/tex]y(k-2) = u(k)+[tex]\frac{1}{2}[/tex]y(k-1)
I have had many attempts and haven't be correct. The thing is i am applying the same method as questions of a similar nature which i got correct. Any help would be appreciated.
Cheers
H(Z) is given as
H(Z) = [tex]\frac{1+(1/2)z^{-1}}{(1-(1/2)z^{-1})(1+(1/3)z^{-1})}[/tex]
Solution that is given:
y(k)-[tex]\frac{1}{6}[/tex]y(k-1)-[tex]\frac{1}{6}[/tex]y(k-2) = u(k)+[tex]\frac{1}{2}[/tex]y(k-1)
I have had many attempts and haven't be correct. The thing is i am applying the same method as questions of a similar nature which i got correct. Any help would be appreciated.
Cheers