Lectures related to Discrete Systems: Relations, Linear Dynamics, and Operators

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

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

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

Signals & Systems II: Difference Equations and Inverse Operators

Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.

Signals & Systems II: Roots, Equations, and Impulse Responses

Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.

Difference Equations: Roots and Solutions

Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.

The z-transform: Basics and Applications

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

Discrete Signals and Linear Systems

Explores discrete signals, linear systems, categorization examples, and convolution properties in signal processing.

Stable LTI Systems: Frequency Response Analysis

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Difference Equations and Controllers

Covers linear difference equations, controllers, discretization, and approximation techniques.

Fourier Transform Pairs and System Analysis

Covers Fourier transform pairs, system analysis with difference equations, and frequency response.

Z-Transforms: Poles and Zeros

Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Signals and Systems: Convolution and Fourier Transform

Covers convolution and Fourier transforms in linear time-invariant systems.

Difference Equations

Covers the concept of difference equations and properties of causal vs. stable systems.

Signals & Systems II: Discrete Linear Systems

Explores categorization of signals, linear systems, LID, convolution, and impulse response.

Frequency Response of LTI Systems

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

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 Review

Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.