EE261 - The Fourier Transform and its Applications

The Fourier Transform and its Applications is Brad Osgood's EE261, published in full on Stanford Engineering Everywhere. Its stated goal is facility with the Fourier transform, both specific techniques and general principles, and the judgement to recognise when, why and how it is used. The lectures build from Fourier series and periodic phenomena to the transform of continuous and discrete signals, the Dirac delta and distributions, convolution and correlation, probability distributions, sampling, filters and linear systems, the discrete Fourier transform and the FFT, and finally the multidimensional transform with applications to imaging, optics and crystallography.

SEE publishes 30 lectures of roughly 41 to 57 minutes with HTML and PDF transcripts, the course reader and formula sheets, nine problem sets with solutions, practice and real exams with solutions, and the Matlab files some problems need; the first lecture notes that prior Matlab knowledge is recommended. Everything is free and unregistered under a CC BY-NC-SA 4.0 licence, with no credit, certificate or instructor feedback, and no updates since the pilot ended.