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Lecture
Fourier Transform Applications: Image Processing Basics
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Discrete-Time Fourier Transform: Properties
Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.
Fourier Series and Analysis
Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.
Fourier Filtering
Explores Fourier filtering principles, applications in image processing, and efficient FFT implementation.
Fourier Transforms: Properties and Applications
Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.
Fourier Transforms: Dirac Delta, Fourier Integral, and Transform
Explores the Dirac delta, Fourier integral, and Fourier transform applications in solving PDE problems.
X-ray Tomography: Fourier Slice Theorem
Delves into the Fourier Slice Theorem in X-ray tomography, explaining the relationship between 1-D and 2-D Fourier Transforms and techniques to enhance image quality.
Spectral Properties of Fourier Series and Fourier Transforms
Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.
Discrete Signals & Fourier Transform
Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.
Signal Representation: Fourier Transforms
Covers the representation of signals using Fourier transforms and the properties of signal vectors.