Fourier Analysis Courses and Certifications

Digital Signal Processing 4: Applications

71 ratings at Coursera

Explore image processing, JPEG compression, digital communications, ADSL, and real-time audio processing on microcontrollers. Gain practical DSP skills through hands-on examples and demonstrations.

• Coursera
• 14 hours 7 minutes
• On-Demand
• Free Online Course (Audit)

Engineering Mathematics

Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.

• YouTube
• 1 day 23 hours
• On-Demand
• Free Video

Steve Brunton

Data-Driven Science and Engineering

1 review

Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.

• YouTube
• 20 hours
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Signals and Systems

This course is a study of signals and systems, covering topics: formal definition of 'signal' and 'system', continuous and discrete signals, continuous and discrete-time systems, Linear Time-Invariant (LTI) systems, representation of continuous and discr…

• YouTube
• 1 day 13 hours
• On-Demand
• Free Video

NPTEL;  IIT Kanpur

Principles of Signals and Systems

This course introduces the fundamental principles of signals and system analysis. These concepts form the building blocks of modern digital signal processing, communication and control systems. Hence, a sound understanding of these principles is necessar…

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Visual Analysis of Extremely Dense Crowded Scenes

Analyzing dense crowd scenes using computer vision techniques for counting, detecting, and tracking individuals. Explores multiple data sources, context, and neighborhood motion to address challenges in extremely crowded environments.

• YouTube
• 51 minutes
• On-Demand
• Free Video

IIT Kanpur;  NPTEL

Introduction to Fourier Analysis

Explore Fourier series, integrals, and their applications in differential equations, isoperimetric problems, and number theory. Gain a solid foundation in this fundamental mathematical concept.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Beijing Jiaotong University

Signals and Systems

Master fundamental principles of signal analysis, system description, and their interactions through time, frequency, and complex domains. Gain practical skills using MATLAB for both continuous and discrete-time systems.

• XuetangX
• On-Demand
• Free Online Course

IIT Bombay;  AICTE

Fourier Analysis and its applications

Explore Fourier analysis theory and applications in mathematics, physics, and engineering. Rigorous proofs, convergence issues, and diverse mathematical applications are covered, including geometry, celestial mechanics, and number theory.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Simons Institute

Remarks on the Discrete Cube

Explore probability theory on the discrete cube, covering Fourier analysis, Poisson inequality, and random walks, with applications in high-dimensional geometry and computation.

• YouTube
• 1 hour
• On-Demand
• Free Video

ICTP Mathematics

The Variance of a General Class of Multiplicative Functions in Short Intervals

Explore the variance of multiplicative functions in short intervals, applying Fourier analysis and rational point counting to derive asymptotic estimates for k-free numbers and other functions.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 2

Explores advanced concepts in harmonic analysis, focusing on Nikodym sets and maximal functions related to spheres. Builds on previous lecture, deepening understanding of these mathematical structures.

• YouTube
• 37 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Distance Problems and Their Many Variants - Lecture 2

Explores distance problems in harmonic analysis, focusing on variants and recent developments. Discusses polynomial methods and discrete approaches, offering insights for researchers in the field.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 2

Explores advanced concepts in harmonic analysis, focusing on Nikodym sets and maximal functions related to spheres. Builds on recent developments in the field.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 2

Explores sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding of harmonic analysis and polynomial methods in mathematical research.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video