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Lecture
Reciprocal lattice: Shape effects
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Crystal Structures: Reciprocal Lattice and Brillouin Zones
Covers crystallography concepts, including veganicide cells, reciprocal lattices, and Brillouin zones, essential for understanding electron behavior in crystal structures.
Fast Fourier Transform (FFT): Lecture 4
Covers the Fast Fourier Transform (FFT) algorithm, interpolation, filters, image processing, and experimental techniques in TEM and STM.
Fourier Series and Analysis
Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.
Fourier Transform: Circuit Analysis
Explores the Fourier transform applied to circuit analysis and its properties.
Fourier Transform Applications: Image Processing Basics
Covers image processing basics, Fourier transformation, convolution, cross-correlation, and 3D reconstruction using the Radon projection theorem.
Fourier Analysis: Fourier Series and Transform
Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.
Signal Representation: Fourier Transforms
Covers the representation of signals using Fourier transforms and the properties of signal vectors.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Signals & Systems: Midterm Solutions
Covers the solutions to the midterm exam, focusing on multiple choice questions and detailed derivations.
