Stanford / Engineering / Electrical
Lecture : Previous Knowledge Recommended (Matlab)
By Brad Osgood | The Fourier Transform and its Applications
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Course Description
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.
Courses Index
1 : Advanced Topics in Circuit Design   (Elad Alon / Berkeley)
2 : Introduction to Digital Integrated Circuits   (Jan RABAEY / Berkeley)
3 : Advanced Analog Integrated Circuits   (Elad Alon / Berkeley)
4 : Introduction to Microelectronic Circuits   (Bernhard BOSER / Berkeley)
5 : Introduction to Linear Dynamical Systems   (Stephen Boyd / Stanford)
6 : Convex Optimization I   (Stephen Boyd / Stanford)
7 : Convex Optimization II   (Stephen Boyd / Stanford)
8 : Circuits and Electronics   (Anant Agarwal / MIT)
9 : Computer System Engineering   (Samuel Madden / MIT)
10 : Introduction to Algorithms   (Erik Demaine / MIT)
11 : Principles of Digital Communications I   (Lizhong Zheng / MIT)
12 : Principles of Digital Communication II   (David Forney / MIT)
13 : Understanding Lasers and Fiberoptics   (Shaoul Ezekiel / MIT)
14 : Electromagnetics and Applications   (Multiple Instructors / MIT)
15 : Information and Entropy   (Paul Penfield / MIT)
16 : Fundamentals of Laser   (Sabieh Anwar / LUMS)
17 : Synchrotron Radiation for Materials Science   (David Attwood / Berkeley)
18 : Linear Integrated Circuits   (Clark Nguyen / Berkeley)
19 : Digital Circuit Design   (Ken Boyd / University of New South Wales)
20 : Speech and Audio Processing   (Multiple Multiple / University of New South Wales)