Lectures related to Difference Equations: Roots and Solutions

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.

Differential and Difference Equations

Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.

Partial Fraction Expansion

Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.

Inverse Laplace Transform

Covers the Inverse Laplace Transform and its applications in finding projections from the Laplace domain to the time domain.

Discrete Systems Theory

Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.

Signal and System Analysis: Impulse Response and Convolution

Covers the analysis of LTI systems using impulse response and convolution.

Discrete Systems: Relations, Linear Dynamics, and Operators

Covers discrete systems, linear dynamics, causality, impulse response, convolution, and operators' effects.

The z-transform: Basics and Applications

Introduces the z-transform, covering its basics, applications to systems, and practical examples.

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Digital Filters: RII Filters - Part 2

Explores RII filters, analog-to-digital filter conversion, stability, and filter construction.

Laplace Transform and LTI Systems

Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.

Differential Equations: Speed Variation Analysis

Covers the analysis of speed variation using differential equations and small time intervals.

Z-Transform Properties

Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.

Signals & Systems I: Characteristic Modes and Green Functions

Explores characteristic modes, green functions, stability criteria, and system response to complex excitations.

Signals & Systems I: Convolution, Response of a System

Covers convolution, response of a system, and differential equations in signals & systems.

Signals & Systems I: Characteristic Modes and Impulse Responses

Explores characteristic modes, impulse responses, and system stability in signals and systems.