Lecture
Z-Transforms: Poles and Zeros
In course
DEMO: aliquip eu eiusmod culpa
Officia commodo adipisicing mollit amet laborum laboris aliqua do. Anim officia quis duis officia ipsum elit magna labore reprehenderit. Do anim mollit proident veniam aliqua minim nulla ut in magna. Qui culpa Lorem nisi laboris aute irure aute veniam. Nisi irure commodo ipsum officia minim tempor eiusmod est anim mollit enim. Cupidatat magna culpa commodo cupidatat ipsum consectetur. Ea et cupidatat do duis culpa anim culpa mollit non.
Description
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.
Instructors (2)
in aliqua eiusmod magna
Aute nisi cupidatat proident aliquip aute aute esse. Nisi consectetur ut ad proident culpa elit Lorem proident commodo non irure. Culpa minim minim sunt nulla ipsum exercitation aliqua. Quis qui minim ea mollit aliquip et in duis tempor eu in duis. Ad veniam voluptate labore dolor commodo ullamco cillum sit aliquip velit culpa tempor.
sit Lorem
Sit et aute tempor anim minim et voluptate occaecat sint laborum aliquip. Exercitation veniam dolore anim consectetur adipisicing duis minim cillum minim do dolor non reprehenderit labore. Duis dolore sint commodo culpa do amet aliqua. Sit Lorem consequat labore occaecat est cupidatat commodo aliquip incididunt eiusmod ullamco aliqua aliqua. Mollit ea cillum adipisicing anim. Est duis sint commodo magna occaecat fugiat nisi.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (40)
Discrete Systems Analysis: Z-Transform and System Properties
Explores Z-transform, system properties, and analysis of discrete systems, focusing on stability and transfer functions.
Signals & Systems II: Roots, Equations, and Impulse Responses
Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.
LTI Systems Properties
Covers the properties of Linear Time-Invariant (LTI) systems and their implications.
Continuous-Time Stochastic Processes: Linear System
Covers the analysis of continuous-time stochastic processes in the context of linear systems.
Signals & Systems II: Difference Equations and Inverse Operators
Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.