Lecture
Fourier Series: Theory and Applications
Related lectures (28)
Fourier Series: Convergence and Coefficients
Explores Fourier series convergence and coefficient calculations through examples and derivations.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.
Fourier Series: Harmonic Analysis
Covers the Fourier series representation of periodic signals and harmonic analysis.
Fourier Series and Transforms: Introduction and Properties
Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.
Generalization Error
Discusses mutual information, data processing inequality, and properties related to leakage in discrete systems.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Fourier Series: Periodic Functions and Calculations
Covers Fourier series for periodic functions and calculations involving Fourier coefficients.
Integration: Lecture 8
Covers the integration of functions and Fourier series with examples and exercises.
Signal Representations
Covers matrix operations, Fourier transformations, Gaussian models, and signal representations using algebraic methods.
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.