Z-Transforms: Poles and Zeros

This lecture covers Z-Transforms, Region of Convergence (ROC), Poles, and Zeros, explaining the mathematical transformations and properties of signals in discrete-time systems. It delves into examples of single real-valued poles and complex-valued poles, illustrating their impact on signals. The lecture also explores the properties of ROC, including its annular shape and relationship with poles. Additionally, it discusses the application of Z-Transforms to Linear Time-Invariant (LTI) systems, emphasizing the convolution property, stability, and causality criteria. The session concludes with a preview of upcoming topics on rational Z-Transforms, LTI system composition, and difference equations.