Lecture
Difference Equations: Roots and Solutions
In course
DEMO: reprehenderit sit enim laborum
Deserunt adipisicing aliquip id enim consequat mollit. Dolore aute pariatur velit nulla qui ex. Esse ad consectetur velit id aute. Sit voluptate consequat enim reprehenderit ipsum duis nulla nulla anim nulla laboris. Irure exercitation ex velit nisi. Laboris Lorem consequat laboris qui minim cupidatat nulla mollit ipsum ex. Aliqua occaecat reprehenderit incididunt deserunt Lorem cillum nulla irure non excepteur amet.
Description
This lecture covers the factorization of characteristic polynomials, determination of inverse operators, and the verification of stability conditions in difference equations. It also explores the solutions of homogeneous recurrence equations and provides examples of applications in zoology. The lecture delves into the input-output relationships in difference equations, the calculation of impulse responses, and the decomposition of transfer functions into simple fractions. Additionally, it discusses the realization of feasible LTI systems, focusing on causality, stability, and implementation parameters.
Instructor
non qui
Ad eiusmod pariatur adipisicing ullamco mollit voluptate irure amet aute dolor eu nulla nisi veniam. Est excepteur Lorem sit nostrud dolor laborum ipsum irure. Culpa labore voluptate incididunt do ut ut consequat anim. Cupidatat sint in nisi tempor consequat cupidatat Lorem quis. Duis sit reprehenderit veniam ad proident ullamco enim.
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 (44)
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.
Laplace Transform Application: LTI Systems
Covers the application of Laplace transform to LTI Systems, including examples and differential equations.
Sampling Theorem and Control Systems
Explores the Sampling Theorem, digital control, signal reconstruction, and anti-aliasing filters.
LTI Systems: Analysis and Properties
Covers the analysis and properties of Linear Time-Invariant (LTI) systems.