Discrete-Time Systems Analysis

This lecture covers the analysis of discrete-time systems, focusing on the Z-transform and its applications in control systems. The instructor explains how to calculate the Z-transform for common signals like Dirac and step functions, and how to find the inverse Z-transform for rational functions. The lecture also delves into the decomposition of rational functions in Z, highlighting the differences with Laplace transforms. The instructor demonstrates methods for calculating Z-transform coefficients, stability analysis, and the concept of transfer functions in discrete-time systems.