Stanford Engineering Everywhere EE261 - The Fourier Transform and its Applications

The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. Together with a great variety, the subject also has a great coherence, and the hope is students come to appreciate both.

Topics include: *The Fourier transform as a tool for solving physical problems. *Fourier series, the Fourier transform of continuous and discrete signals and its properties. *The Dirac delta, distributions, and generalized transforms. *Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. *The discrete Fourier transform and the FFT algorithm. *Multidimensional Fourier transform and use in imaging. *Further applications to optics, crystallography. *Emphasis is on relating the theoretical principles to solving practical engineering and science problems.

Course Homepage: [[http://see.stanford.edu/see/courseinfo.aspx?coll=84d174c2-d74f-493d-92ae-c3f45c0ee091]]

Course features at Stanford Engineering Everywhere page: *The Fourier Transform and its Applications *Lectures *Syllabus *Handouts *Assignments *Exams