Stanford EE261 The Fourier Transform and its Applications is an undergraduate course taught at Stanford by Prof. Brad Osgood. It is published for free on Stanford Engineering Everywhere with videos, course notes, assignments and exams.
What’s in it? Fourier series, the Fourier transform and its properties, convolution, sampling, the discrete Fourier transform and FFT, linear systems and the higher-dimensional Fourier transform. Thirty lectures in all.
Why we recommend it: Where Oppenheim’s course builds the general framework of signal processing, Osgood’s devotes a whole term to a single tool, the Fourier transform. With his witty delivery and physical examples, it’s ideal for anyone who wants to anchor the ideas in our Fourier post in solid maths. The course notes were later published as a book.
Who is it for? Anyone with calculus and basic linear algebra who wants to learn Fourier analysis in depth.
- Course page: Stanford Engineering Everywhere, EE261