Difference Equations: Roots and Solutions

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.