Master the Fourier transform and its applications

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 Master the Fourier transform and its applications

Learn the Fourier transform in MATLAB and Python, and its applications in digital signal processing and image processing.

What you'll learn
  • Learn about one of the single most important equations in all of modern technology and therefore human civilization.
  • The fundamental concepts underlying the Fourier transform
  • Sine waves, complex numbers, dot products, sampling theorem, aliasing, and more!
  • Interpret the results of the Fourier transform
  • Apply the Fourier transform in MATLAB and Python!
  • Use the fast Fourier transform in signal processing applications
  • Improve your MATLAB and/or Python programming skills
  • Know the limitations of interpreting the Fourier transform.
 Description

The Fourier transform is one of the most important operations in signal processing and modern technology, and therefore in modern human civilization. But how does it work, and why does it work?


What you will learn in this course:

You will learn the theoretical and computational bases of the Fourier transform, with a strong focus on how the Fourier transform is used in modern applications in signal processing, data analysis, and image filtering. The course covers not only the basics, but also advanced topics including effects of non-stationarities, spectral resolution, normalization, filtering. All videos come with MATLAB and Python code for you to learn from and adapt!

This course is focused on implementations of the Fourier transform on computers, and applications in digital signal processing (1D) and image processing (2D). I don't go into detail about setting up and solving integration problems to obtain analytical solutions. Thus, this course is more on the computer science/data science/engineering side of things, rather than on the pure mathematics/differential equations/infinite series side.

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