Z-TRANSFORMS

In mathematics and signal processing, the Z-transform converts a time domain signal, which is a sequence of real or complex numbers, into a complex frequency domain representation. It can be considered as a discrete-time equivalent of the Laplace transform.

L1: Definition of the Z-Transform - Properties of Z-Transforms - Z-Transforms of Basic Sequences - Z-Transforms of Standard Discrete Functions - First Shifting Theorem - Second Shifting Theorem - Two Basic Theorems (Initial Value Theorem and Final Value Theorem)

L2: Inverse Z-Transform

L3: Applications of Z-Transforms to Difference Equations