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Lecture
Discrete Systems: Relations, Linear Dynamics, and Operators
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Frequency Response and System Composition
Covers the properties of frequency response for discrete-time systems and system composition.
Fourier Transform: LTI Systems
Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.
Geometric Response in LTI Systems
Explains geometric response in LTI systems and its relationship with impulse response.
Impulse Response and Laplace Transform
Explores impulse response, Laplace transform, and their applications in dynamical systems.
Linear Time Invariant Systems
Covers LTI systems, impulse response, convolution, Fourier Transform, and system characterization.
Signal and System Analysis: Impulse Response and Convolution
Covers the analysis of LTI systems using impulse response and convolution.
Laplace Transform and LTI Systems
Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.
Differential and Difference Equations
Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.
Introduction to the Laplace Transform
Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.
Discrete-Time LTI Systems
Covers the analysis of discrete-time LTI systems, including sampling systems and system responses.