Master the Fourier transform and its applications
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.
Requirements
- A curious mind!
- Some MATLAB or Python experience is useful but not required
- High-school math (calculus is not necessary)
- Previous knowledge of the Fourier transform is NOT necessary!
- * Manually correct English captions *
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.
This course is for you if you are an aspiring or established:
Data scientist
Statistician
Computer scientist (MATLAB and/or Python)
Signal processing or image processing expert (or aspiring!)
Biologist
Engineer
Student
Curious independent learner!
What you get in this course:
>6 hours of video lectures that include explanations, pictures, and diagrams
pdf readers with important notes and explanations
Many exercises and their solutions! (Note: exercises are in the pdf readers)
MATLAB code, Python code, and sample datasets for applications
With >3000 lines of MATLAB and Python code, this course is also a great way to improve your programming skills, particularly in the context of signal processing and image processing.
Why I am qualified to teach this course:
I have been using the Fourier transform extensively in my research and teaching (primarily in MATLAB) for nearly two decades. I have written several textbooks about data analysis, programming, and statistics, that rely extensively on the Fourier transform. Most importantly: I have taught the Fourier transform to bachelor's students, PhD students, professors, and professionals, and I have taught to people from many backgrounds, including biology, psychology, physics, mathematics, and engineering.
So what are you waiting for??
Watch the course introductory video to learn more about the contents of this course and about my teaching style. And scroll down to see what other students think of this course and of my teaching style.
I hope to see you soon in the course!
Mike
Who this course is for:
- Students who need to know the Fourier transform for courses.
- Scientists who need to know the Fourier transform for research.
- Data scientists who need to do spectral analysis.
- Someone doing digital signal processing or image processing (filtering, signal separation, etc.)
- Someone who learned the FT by solving integral equations but wants more insight into what it means.
- Programmers looking for tips about optimizing code that involves FFT.
- Someone who is curious what the Fourier transform is and why it's so important.
- Someone who uses the FFT but wants a better understanding of what it means, why it works, and how to interpret the results.
Featured review
Instructor
- 4.6 Instructor Rating
- 54,438 Reviews
- 291,859 Students
- 26 Courses
I am a full-time educator and writer, and former professor of neuroscience. I "retired" from that position so I could focus my time and energy creating high-quality educational material just for you.
I have 20 years of experience teaching programming, data analysis, signal processing, statistics, linear algebra, and experiment design. I've taught undergraduate students, PhD candidates, postdoctoral researchers, and full professors. I have taught in "traditional" university courses, special week-long intensive courses, and Nobel prize-winning research labs. I have >100 hours of online lectures on neuroscience data analysis that you can find on my website and youtube channel. And I've written several technical books about these topics with a few more on the way.
I'm not trying to show off -- I'm trying to convince you that you've come to the right place to maximize your learning from an instructor who has spent two decades refining and perfecting his teaching style.
Over 200,000 students have watched over 15,000,000 minutes of my courses. Come find out why!
I have several free courses that you can enroll in. Try them out! You got nothing to lose ;)
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By popular request, here are suggested course progressions for various educational goals:
MATLAB programming: Get Started with MATLAB; Master MATLAB; Image Processing
Python programming: Master Python programming by solving scientific projects; Master Math by Coding in Python
Applied linear algebra: Complete Linear Algebra; Dimension Reduction
Signal processing: Understand the Fourier Transform; Generate and visualize data; Signal Processing; Neural signal processing