Discrete Systems: Relations, Linear Dynamics, and Operators

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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.

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

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

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

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

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

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

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