The Fourier Transform and its Applications

Note: This course is being offered this summer by Stanford as an online course for credit. It can be taken individually, or as part of a master’s degree or graduate certificate earned online through the Stanford Center for Professional Development.

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.

History back to lectures

enrolled at Nov 21, 2011
enrolled at Jan 10, 2012
enrolled at Dec 29, 2011
enrolled at Jan 04, 2012
enrolled at Jan 20, 2012
enrolled at Feb 10, 2012
enrolled at Nov 23, 2012
enrolled at Dec 08, 2012
enrolled at Jun 10, 2013
enrolled at Jan 03, 2013
enrolled at Aug 11, 2014
enrolled at Mar 16, 2013
enrolled at May 03, 2013
enrolled at Oct 05, 2013
enrolled at Dec 19, 2013
enrolled at Feb 08, 2014
enrolled at Apr 06, 2014
enrolled at Sep 13, 2014
enrolled at Jun 29, 2014
enrolled at Jun 26, 2014
enrolled at Jul 02, 2014
enrolled at Aug 17, 2014
enrolled at Aug 17, 2014
enrolled at Aug 29, 2014
enrolled at Sep 08, 2014
enrolled at Nov 29, 2014

Citation

Brad G. Osgood, The Fourier Transform and its Applications (Stanford University: Stanford Center for Professional Development), http://scpd.stanford.edu. License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0

Instructors

Brad G. Osgood

Additional Notes

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