Fourier Analysis Courses and Certifications

Ryan O'Donnell

Fourier Analysis of Boolean Functions - Lecture 8a of CS Theory Toolkit

Introduces Fourier analysis of Boolean functions through Boolean-cube representations, multilinear polynomials, Fourier coefficients, and majority and parity examples.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Digital Signal Processing 1: Basic Concepts and Algorithms

Basic signal processing concepts, Fourier analysis and filters. This module can be used as a starting point or a basic refresher in elementary DSP.

• edX
• 4 weeks, 8-10 hours a week
• Self-Paced
• Free Online Course (Audit)

Signals and Systems | 信号与系统

This course will help you to understand fundamental concepts, principles, analysis and designs of signals transmitting through systems.

• edX
• 12 weeks, 3-4 hours a week
• Self-Paced
• Free Online Course (Audit)

Signals, Systems and Signal Processing Course: Wolfram U

1 rating

Analyze continuous- and discrete-time LTI systems using convolution, Fourier analysis, Laplace and z-transforms, sampling and aliasing, and design digital filters with bilinear and window methods.

• Wolfram U
• 10 hours
• Self-Paced
• Free Certificate

IIT Roorkee;  NPTEL

Advanced Engineering Mathematics

This course is a basic course offered to UG/PG students of Engineering/Science background. This course has tremendous applications in diverse fields of Engineering and Sciences such as Signal processing, Potential theory, Bending of beams etc.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Signals and Systems

Builds a unified framework for representing signals and describing linear time-invariant systems across time, frequency, Laplace, and z domains.

• XuetangX
• Self-Paced
• Free Online Course

Signals and Systems

A foundational engineering course on analyzing continuous- and discrete-time signals and linear time-invariant systems through convolution, Fourier, Laplace, and Z transforms.

• XuetangX
• Self-Paced
• Free Online Course

IIT Delhi;  NPTEL

Introduction to Methods of Applied Mathematics

Explore applied mathematical methods from ordinary differential equations and Green’s functions through Fourier and wavelet transforms.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Roorkee;  NPTEL

Mathematical Methods and its Applications

Solve engineering problems using linear ODEs and first-order PDEs, Laplace and Z-transforms, Fourier series, integrals and transforms, including boundary value problem applications.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Jiangxi Normal University

Signals and Systems

Analyze continuous and discrete signals and systems using convolution, Fourier, Laplace, and z-transforms, with sampling and system response.

• XuetangX
• Self-Paced
• Free Online Course

Richard Behiel

Complex Numbers in Quantum Mechanics - From Basic Concepts to Wave Functions

Explore complex numbers in quantum mechanics through an intuitive approach, focusing on wave interference, phase concepts, and practical applications in quantum systems and electromagnetism.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Sebastian Lague

Coding Adventure - Analyzing Audio with Short-Time Fourier Transform

Dive into audio analysis using the Short-Time Fourier Transform to create spectrograms, manipulate sound frequencies, and even hide secret messages in audio through hands-on coding experiments.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Iain Explains Signals, Systems, and Digital Comms

Discrete Fourier Transform - DFT and FFT

Discover how DFT and FFT transform discrete signals into frequency domain, covering sinusoids, sampling, OFDM applications, and practical watermarking techniques.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

Iain Explains Signals, Systems, and Digital Comms

Fourier Transform Properties

Explore key Fourier Transform properties including duality, time shifts, phase rotation, and convolution through practical examples and exam-style problems.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Mark Newman

Demystifying the Fourier Transform - Concise and Informative Shorts

Discover the powerful Fourier Transform algorithm through short videos covering complex numbers, FFT, convolution, and real-world applications in data processing and analysis.

• YouTube
• 20 minutes
• Self-Paced
• Free Video