Fourier Transform and Differential Equations

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Related lectures (54)

Partial Fraction Expansion Log in to Mediaspace to watch this video

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

Complex Analysis: Laplace and Fourier Transforms Log in to Mediaspace to watch this video

Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.

Complex Analysis: Residue Theorem and Fourier Transforms Log in to Mediaspace to watch this video

Discusses complex analysis, focusing on the residue theorem and Fourier transforms, with practical exercises and applications in solving differential equations.

Analyse IV: Rediffusion RaQ semaine 10 Log in to Mediaspace to watch this video

Explores advanced mathematical analysis topics, including Laplace transform methods and integral equations.

Partial Differential Equations: Viscoelastic Materials Log in to Mediaspace to watch this video

Explores the application of PDEs in viscoelastic materials and materials science.

Differential Equations: General Solutions and Methods Log in to Mediaspace to watch this video

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Frequency Response of LTI Systems Log in to Mediaspace to watch this video

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

Introduction to the Laplace Transform Log in to Mediaspace to watch this video

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

General Solutions of Differential Equations Log in to Mediaspace to watch this video

Explores general solutions of differential equations with a focus on x

Linear Time Invariant Systems Log in to Mediaspace to watch this video

Covers LTI systems, impulse response, convolution, Fourier Transform, and system characterization.

Signals, Instruments, and Systems Log in to Mediaspace to watch this video

Explores signals, instruments, and systems, covering ADC, Fourier Transform, sampling, signal reconstruction, aliasing, and anti-alias filters.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers the solution of linear differential equations, focusing on complex solutions and diagonalizable matrices.

Fourier Transform of a Digital Rectangular Window Log in to Mediaspace to watch this video

Covers the calculation of the Fourier transform of a digital rectangular window.

Wiener Filter for Discrete-Time Stochastic Processes Log in to Mediaspace to watch this video

Covers the theory and application of the Wiener filter for discrete-time stochastic processes.

Eigenvalues and Eigenvectors Log in to Mediaspace to watch this video

Covers eigenvectors, eigenvalues, and their significance in linear applications.

Numerical Analysis: Interpolation and Approximation Log in to Mediaspace to watch this video

Covers linear systems, non-linear equations, and interpolation for numerical analysis.

Eigenvalues and Eigenvectors of Matrices Log in to Mediaspace to watch this video

Explores characteristic polynomials, eigenvalues, and eigenvectors of matrices A, B, C, D, and E.

Dirichlet Theorem: Complex Fourier Coefficients Log in to Mediaspace to watch this video

Covers the Dirichlet theorem and complex Fourier coefficients for periodic functions.

Stochastic Models for Communications Log in to Mediaspace to watch this video

Covers mathematical tools for communication systems and data science, including information theory and signal processing.

Thermal Conduction: Fourier Equation Simplifications Log in to Mediaspace to watch this video

Covers topics related to thermal conduction and the Fourier equation simplifications.

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