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You are here: Home Electrical and Computer Engineering Signals and Systems Lecture 2: Bilateral Z-Transform

Lecture 2: Bilateral Z-Transform

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Schedule :: Intro :: Inverse :: Properties :: Solution :: Transfer Functions :: System Realization :: Bilateral :: Frequency Response :: Rubber Sheet Geometry :: FIR Filters

In the most general case, we have

\begin{displaymath}F(z) = \sum_{k=-\infty}^\infty f[k] z^{-k}
\end{displaymath}
Let us consider the $z$ transform of $f[k] = -\gamma^k u[-(k+1)]$ (draw the picture). We find
\begin{displaymath}F(z) = \frac{z}{z-\gamma}.
\end{displaymath}
Compare with $g[k] = \gamma^k u[k]$ . What gives? Must specify region of convergence for these.
Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, May 18). Lecture 2: Bilateral Z-Transform. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/node7.html. This work is licensed under a Creative Commons License Creative Commons License