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Lecture
Fourier Transform: Analysis IV
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Unbounded and Bounded Systems: Fourier Methods
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Fourier Series: Periodic Functions and Sine/Cosine Interactions
Covers the Fourier series and interactions between sine and cosine functions.
Wave Propagation: General Solutions
Explores the general solutions for wave propagation and Fourier transforms in periodic functions.
Fourier Analysis: Stokes Theorem
Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.
Properties of Fourier Transform
Explores the properties and applications of the Fourier transform in signal processing and mathematics.
Fourier Transform: Basics and Examples
Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.
Discrete Fourier Transform: Lecture 12
Explores the Discrete Fourier Transform, Fast Fourier Transform, orthogonal functions, and trigonometric approximations.
Fourier Transform: Circuit Analysis
Explores the Fourier transform applied to circuit analysis and its properties.
Fourier Transform of a Digital Rectangular Window
Covers the calculation of the Fourier transform of a digital rectangular window.
Fourier and Laplace Transforms: Concepts and Applications
Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.