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Lecture
Z-Transform Properties
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Related lectures (52)
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Introduces the z-transform, covering its basics, applications to systems, and practical examples.
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Covers the properties of Linear Time-Invariant (LTI) systems and their implications.
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Covers the Z-Transform, transfer function for LTI systems, and its properties, including linearity and time shift.
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Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.
Difference Equations
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Covers the concept of difference equations and properties of causal vs. stable systems.
Partial Fraction Expansion
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Introduces Partial Fraction Expansion as a valuable tool for analyzing stable LTI systems.
LTI Systems and z-Transform
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Covers LTI systems, z-Transform, and the Region of Convergence (ROC) with stability criteria and illustrative examples.
Laplace Transform: Basics
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Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.
Differential and Difference Equations
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Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.
Introduction to the Laplace Transform
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Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.
State-space Modeling
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Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.
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Covers the application of Laplace transform to LTI Systems, including examples and differential equations.
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.
Laplace Transform: Basics and Properties
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Covers the basics of the Laplace transform, properties, and applications to LTI systems, including transfer function and frequency response.
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