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Inverse Z Transform

Overview

The purpose of this page is to...
1. Define the Z Transform and Inverse Z Transform
2. Provide Example Problems of the Inverse Z Transform

1. Definitions

Z Transform

$ X(z)=\mathcal{L}(x[n])=\sum_{n=-\infty}^{\infty}x[n]z^{-n} $

Inverse Z Transform

$ x[n]=\mathcal{L}^{-1}(X(z))=\frac{1}{2\pi j}\oint_{c}X(z)z^{n-1}dz $

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal