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Lecture
Signals & Systems II: Difference Equations and Operators
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Related lectures (35)
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Partial Fraction Expansion
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Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.
Signals & Systems II: Difference Equations and Inverse Operators
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Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.
Difference Equations
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Covers the concept of difference equations and properties of causal vs. stable systems.
Frequency Response of LTI Systems
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Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.
LTI Systems Properties
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Covers the properties of Linear Time-Invariant (LTI) systems and their implications.
Z-Transforms: Poles and Zeros
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Explores Z-Transforms, Poles, Zeros, and their applications in discrete-time systems and Linear Time-Invariant systems.
Difference Equations: Roots and Solutions
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Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.
Fourier and Laplace Transforms: Concepts and Applications
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Fourier Transform: Derivatives and Formulas
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Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.
Fourier Transform and Differential Equations
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Discusses the Fourier transform and its application to solving differential equations, focusing on the wave equation and its transformations.
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