Iam working on a course in digital control systems and by reading my textbook I stumbled over this expression.

C(z) = 0.3678z + 0.2644 : z^2 − 1.3678z + 0.3678

= 0.3678z^−1 + 0.7675z^−2 + 0.9145z^−3 + ...

Now Iam wondering how the result of the polynomial division is obtained?

I tried long division but I am not able to get the same result.

Any help would be great.

Thanks in advance,

Mike

Ps. Sorry for not using the editor as Iam writing from a. Mobile device