Discrete Systems Analysis: Z-Transform and System Properties

This lecture covers the Z-transform, system properties, and analysis of discrete systems. The instructor explains the concept of sampling analog signals, choosing sampling periods, and the Shannon theorem. The lecture delves into linear time-invariant systems, dynamic systems, convolution, and impulse response. The Z-transform is introduced as a tool for analyzing discrete systems, focusing on stability, transient response, and transfer functions. The lecture also discusses the relationship between Z-transform and Laplace transform, highlighting the importance of understanding system dynamics and stability through Z-transform analysis.