TRANSFORMADA Z: Aplicación a sistemas LTI | 14/37 | UPV

Title: Z-TRANSFORM: Application to LTI Systems Description: Practical example of applying the z-transform to linear time-invariant (LTI) systems, using Matlab to work with linear systems. Camacho García, A. (2009). Z-TRANSFORM: Application to LTI Systems. https://riunet.upv.es/handle/10251/4842 Automatic description: In this video, a professor from the Polytechnic University of Valencia explains the z-transform and its application to LTI (Linear Time-Invariant) systems. He presents the calculation and analysis of the transfer function of a discrete system, explaining how to obtain it from a difference equation. He discusses causality and system stability and shows how to calculate the frequency response and response to a generic input. The video details the process for drawing pole-zero diagrams and for determining both the forward structure one and forward structure two for system implementation. It also addresses the convergence region for causal and stable systems and provides a strategy for calculating a system's impulse response using partial fraction decomposition. Finally, it introduces the use of Matlab for practical applications such as drawing pole-zero diagrams, visualizing the frequency response, generating the impulse response, and analyzing the system's response to various input signals. The instructor concludes by summarizing that students have learned different representations for analyzing LTI systems, their fundamental characteristics, and how to calculate system responses to various excitation signals. Author: Andrés Camacho García Course: This video is 26/51 of the course "Signal Processing in Communications" | Universitat Politècnica de València (UPV).    • Curso Tratamiento de señales en comunicaci...   Course: This video is 14/37 of the Signal and Communication Theory course.    • Teoría de las señales y las comunicaciones   Universitat Politècnica de València UPV: https://www.upv.es More videos at:    / valenciaupv   Access our MOOCs: https://upvx.es #LTI system #Poles and zeros #Difference equation #Frequency response #Linear system #Region of convergence #Impulse response #Response to excitation #Z-transform