Lectures related to Karplus-Strong revisited and DFS

Fourier Analysis: Fourier Series and Transform

Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

Fourier Series and Analysis

Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.

Fourier Series: Understanding Coefficients and Periodicity

Explores Fourier series coefficients, periodicity, and series relations.

Signal Representation: Fourier Transforms

Covers the representation of signals using Fourier transforms and the properties of signal vectors.

Spectral Properties of Fourier Series and Fourier Transforms

Explores the motivation behind Fourier series and transforms, their fundamentals, and applications in solving differential equations.

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 Transform: Compression and Analysis

Covers the Fourier transform, compression techniques, and spectral analysis of periodic signals.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.

Signals & Systems II: Fourier Transform Properties

Explores the properties of the Discrete-Time Fourier Transform in signal processing.

Fast Fourier Transform (FFT): Basics and Applications

Covers the Fast Fourier Transform (FFT) algorithm and its applications in computational physics, including image processing, experimental techniques, filters, and analysis of microscopy images.

The fast Fourier transform

Explores the history and efficiency of the fast Fourier transform algorithm, demonstrating its practical applications and computational advantages.

Discrete Fourier series: Inherent periodicities and time shifts

Explores the Discrete Fourier Transform synthesis and analysis formulas, time shifts for finite-length signals, and the equivalence between DFS and DFT.

Fourier Transform Applications: Image Processing Basics

Covers image processing basics, Fourier transformation, convolution, cross-correlation, and 3D reconstruction using the Radon projection theorem.

Discrete Signals & Fourier Transform

Explores discrete signals, Fourier transform, modulation, convolution, DFT properties, and signal periodicity.

Fourier Series and Transforms: Introduction and Properties Log in to Mediaspace to watch this video

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Frequency Estimation (Theory)Log in to Mediaspace to watch this video

Covers the theory of numerical methods for frequency estimation on deterministic signals, including Fourier series and transform, Discrete Fourier transform, and the Sampling theorem.

Fourier Transform: Analysis IV Log in to Mediaspace to watch this video

Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.

Fourier Transform: Concepts and Applications Log in to Mediaspace to watch this video

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Fourier Transform: Basics and Examples Log in to Mediaspace to watch this video

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

Fourier Transform: Concepts and Applications Log in to Mediaspace to watch this video

Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.