About
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
Videos

Lecture 18: Review Of Sampling And Interpolation Results
May 21, 2010
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2895 views

Lecture 1: Previous Knowledge Recommended (Matlab)
May 21, 2010
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13566 views

Lecture 22: FFT Algorithm: Setup: DFT Matrix Notation
May 21, 2010
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4914 views

Lecture 21: Review Of Basic DFT Definitions
May 21, 2010
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3314 views

Lecture 20: Review: Definition Of The DFT
May 21, 2010
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3119 views

Lecture 25: Review Of Last Lecture: LTI Systems And Convolution
May 21, 2010
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2639 views

Lecture 4: Wrapping Up Fourier Series; Making Sense Of Infinite Sums And Converg...
May 21, 2010
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3508 views

Lecture 19: Aliasing Demonstration With Music
May 21, 2010
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2661 views

Lecture 28: Shift Theorem In Higher Dimensions
May 21, 2010
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2663 views

Lecture 8: Effect On Fourier Transform Of Shifting A Signal
May 21, 2010
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3150 views

Lecture 29: Shahs
May 21, 2010
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2437 views

Lecture 13: Setting Up The Fourier Transform Of A Distribution
May 21, 2010
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3306 views

Lecture 11: Correction To The End Of The CLT Proof
May 21, 2010
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2649 views

Lecture 24: Review Of Last Lecture: Discrete V. Continuous Linear Systems
May 21, 2010
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2429 views

Lecture 15: Application Of The Fourier Transform: Diffraction: Setup
May 21, 2010
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3381 views

Lecture 9: Continuing Convolution: Review Of The Formula
May 21, 2010
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2792 views

Lecture 30: Tips For Filling Out Evals
Jul 1, 2010
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2669 views

Lecture 5: Continued Discussion Of Fourier Series And The Heat Equation
May 21, 2010
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3278 views

Lecture 6: Correction To Heat Equation Discussion
May 21, 2010
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3378 views

Lecture 2: Periodicity; How Sine And Cosine Can Be Used To Model More Complex Fu...
May 21, 2010
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6257 views

Lecture 12: Cop Story
May 21, 2010
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2473 views

Lecture 14: Derivative Of A Distribution
May 21, 2010
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5061 views

Lecture 23: Linear Systems: Basic Definitions
May 21, 2010
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2930 views

Lecture 17: Review Of Main Properties Of The Shah Function
May 21, 2010
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2987 views

Lecture 16: More On Results From Last Lecture (Diffraction Patterns And The Four...
May 21, 2010
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2614 views

Lecture 7: Review Of Fourier Transform (And Inverse) Definitions
May 21, 2010
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4964 views

Lecture 10: Central Limit Theorem And Convolution; Main Idea
May 21, 2010
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5089 views

Lecture 3: Summary Of Previous Lecture (Analyzing General Periodic Phenomena As ...
May 21, 2010
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4244 views

Lecture 27: Higher Dimensional Fourier Transforms- Review
May 21, 2010
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2517 views

Lecture 26: Approaching The Higher Dimensional Fourier Transform
May 21, 2010
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2622 views