Z Transform, Inverse by expansion.

Cuthbert Nyack
If the Z transform can be expanded out as a series in powers of z, then the coefficients of each term of the series constitutes the inverse. In the following expression, the inverse would be the coefficients in blue.
Consider a Z transform which can be expanded as in the expression below.
Then the inverse is the coefficients in blue and can be written as follows.
Since the final result is usually a listing of the sample values, then this method of finding the inverse Z transform is usually used only as a last resort when other methods cannot be applied.
Return to main page
Return to page index
© 2000 Cuthbert A. Nyack.