Table of Common z-Transforms 2.13 2001/06/20 2008/02/01 17:13:46.399 US/Central Melissa Selik mselik@alumni.rice.edu Richard G. Baraniuk richb@rice.edu Melissa Selik mselik@alumni.rice.edu Richard G. Baraniuk richb@rice.edu Ricardo Anthony Radaelli-Sanchez ricky@alumni.rice.edu Justin Romberg jrom@ece.gatech.edu Michael Haag mjhaag@gmail.com Mariyah Poonawala mariyah@rice.edu Prashant Singh prash@ece.rice.edu discrete time DSP transform pairs unilateral z transform z-transform Lists the z-transform and region of convergence (ROC) for several common discrete-time signals. The table below provides a number of unilateral and bilateral z-transforms. The table also specifies the region of convergence. The notation for z found in the table below may differ from that found in other tables. For example, the basic z-transform of u n can be written as either of the following two expressions, which are equivalent: z z 1 1 1 z -1 Signal Z-Transform ROC δ n k z k All z u n z z 1 z 1 u n 1 z z 1 z 1 n u n z z 1 2 z 1 n 2 u n z z 1 z 1 3 z 1 n 3 u n z z 2 4 z 1 z 1 4 z 1 α n u n 1 z z α z α α n u n z z α z α n α n u n α z z α 2 z α n 2 α n u n α z z α z α 3 z α k 1 m n k 1 α m m α n u n z z α m 1 γ n α n u n z z γ α z 2 2 γ α z γ 2 z γ γ n α n u n z γ α z 2 2 γ α z γ 2 z γ