Signals & Systems II: Difference Equations and Operators

Related lectures (31)

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

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

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

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

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

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

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

Explores the link between DTFT, Z-transforms, and Fourier transforms, vector analogy, and discrete signals.

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

Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.