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Discrete Systems Theory

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Related lectures (41)

Fourier Transform Pairs and System Analysis Log in to Mediaspace to watch this video

Covers Fourier transform pairs, system analysis with difference equations, and frequency response.

State-space Modeling Log in to Mediaspace to watch this video

Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.

Impulse Response and Laplace Transform Log in to Mediaspace to watch this video

Explores impulse response, Laplace transform, and their applications in dynamical systems.

Signals & Systems I: Distributions and Linear Systems Log in to Mediaspace to watch this video

Covers distributions, linear systems, impulse response, convolution, and examples of linear systems.

Signals and Systems: Convolution and Fourier Transform Log in to Mediaspace to watch this video

Covers convolution and Fourier transforms in linear time-invariant systems.

Difference Equations Log in to Mediaspace to watch this video

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

Geometric Response in LTI Systems Log in to Mediaspace to watch this video

Explains geometric response in LTI systems and its relationship with impulse response.

Signals & Systems Review Log in to Mediaspace to watch this video

Provides a comprehensive review of signals and systems, covering topics such as time-domain analysis, frequency-domain analysis, and Fourier transform.

Laplace Transform: Basics Log in to Mediaspace to watch this video

Introduces Laplace transform, ROC, and LTI systems with transfer functions and frequency response.

DTFT Properties Log in to Mediaspace to watch this video

Covers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.

Discrete Fourier Transform: Main Properties Log in to Mediaspace to watch this video

Covers the main properties of the Discrete Fourier Transform and convolution methods.

Geometric McKay correspondence: Du Val singularities and Dynkin diagrams Log in to Mediaspace to watch this video

Explores the derivation of Dynkin diagrams from Du Val singularities.

Convolution Product: Radioactive Exchange Log in to Mediaspace to watch this video

Explores the convolution product with examples of radioactive exchange and inversion formulas.

System Analysis in Frequency Domain Log in to Mediaspace to watch this video

Covers system analysis in the frequency domain for dynamical systems, including step response, frequency response, and Bode plots.

Numerical Analysis: Jupyter Notebook Tutorial Log in to Mediaspace to watch this video

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Regularity of Curves Log in to Mediaspace to watch this video

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.

Differential Equations and System Composition Log in to Mediaspace to watch this video

Covers Laplace transform for LTI systems and system composition.

Image Processing I: Composition, Pooling, Continuity, and Denoising Log in to Mediaspace to watch this video

Explores composition, pooling, continuity, denoising, and popular CNN architectures for image segmentation in image processing.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Introduces first-order scalar differential equations, higher-order equations, global solutions, and the selection process for equations.

Untitled Log in to Mediaspace to watch this video

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