Lectures related to Fourier Series and Analysis

Fourier Analysis: Fourier Series and Transform

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

Numerical Methods: Boundary Value Problems

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

Signal Analysis and Filter Design

Explores signal analysis, FFT, filters, and power spectral density in signal processing.

Fourier Transform: Compression and Analysis

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

Fast Fourier Transform (FFT): Lecture 4

Covers the Fast Fourier Transform (FFT) algorithm, interpolation, filters, image processing, and experimental techniques in TEM and STM.

Magnetic Resonance Imaging: Principles and Applications

Covers the principles and applications of magnetic resonance imaging, including NMR spectroscopy, multi-dimensional imaging, and image contrast mechanisms.

Neurophysiological Data Analysis

Explores neurophysiological data analysis, covering AP identification, firing rates, subthreshold activity, FFT spectral analysis, and event-triggered analysis using MATLAB.

Spectral Properties of Fourier Series and Fourier Transforms

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

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.

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 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.

Signal Processing: Basics and Spectral Analysis Log in to Mediaspace to watch this video

Covers the basics of signal processing, linear estimation, and digital filters.

Signals, Instruments, and Systems: System Properties and Transforms Log in to Mediaspace to watch this video

Introduces system properties, Laplace Transform, and analog filters for signal analysis.

Spectrogram Analysis: Psychoacoustic Foundations & Signal Processing Log in to Mediaspace to watch this video

Explores spectrogram analysis, including DFT, STFT, and CQT, for tasks like music transcription and onset detection.

Signal Processing: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics of signal processing, including Fourier transform, linear systems, and signal manipulation.

Psychoacoustics and Signal Processing Log in to Mediaspace to watch this video

Explores psychoacoustics, signal processing, and the brain's interpretation of sound frequencies, covering topics like the Missing Fundamental phenomenon and the inner workings of the cochlea.

Discrete Fourier Transform: Introduction Log in to Mediaspace to watch this video

Introduces the discrete Fourier transform, a key tool for digital signal analysis.

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 transforms: Light-matter interaction Log in to Mediaspace to watch this video

Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.

Signals, Instruments, and Systems Log in to Mediaspace to watch this video

Explores signals, instruments, and systems, covering ADC, Fourier Transform, sampling, signal reconstruction, aliasing, and anti-alias filters.