tom test majortom/mwc

# Fourier Transform and Applications

## Lecture series on the Fourier Transform, Fourier series and applications, by Prof Brad Osgood at Stanford Univ EE 261

This video series is entitled, "Fourier Transform and Applications," which provides lecture series on the Fourier Transform, Fourier series and applications, by Prof Brad Osgood at Stanford Univ EE 261. The series presents 30 individual lectures and span the subject of Fourier Transforms. These videos have a total playtime duration of 1 dys 01 hrs 38 min 03 sec.
 Lecture series by Professor Brad Osgood, of Stanford University, Dept of Engineering, for the Electrical Engineering course, "The Fourier Transforms and its Applications" (EE 261). The Fourier transform is a tool for solving physical problems. In this course the emphasis is on relating the theoretical principles to solving practical engineering and science problems. These lessons are useful for math, physics, chemistry, engineering, geology, and even biology students, due to the diverse applications of the Fourier transform. The Fourier Transforms and its Applications course lessons begin on Fourier series, covers the Fourier transform, and many of it's applications, as a tool for solving science, physical and engineering problems. Prerequisites: Math through calculus and ordinary differential equations (ODE's), basic linear algebra, Comfort with sums and discrete signals (would be ideal), Fourier series at the level of 102A.

## Fourier Transforms: Fourier Transform and Applications

L Lecture titles for Fourier Transform and Applications Time Note 1 Fourier Transforms, simple functions, sin(t), cos(t), model periodic phenomenon, how to do it, analyzing general periodic phenomenon 52:07 2 Fourier Transforms, simple functions, sin(t), cos(t), model periodic phenomenon, how to do it, analyzing general periodic phenomenon 52:57 first steps in analyzing general periodic phenomenon 3 Fourier Transforms, analysis of periodic phenomena and how it's represented, applications, how to do it, mathematics, waves, analysis 50:46 4 Fourier Transforms, theoretical aspects of Fourier Series, heat flow, applications, how to do it, mathematics, waves, analysis 52:07 application to heat flow 5 Fourier Transforms, Fourier series, transformation Fouier series compared to Fourier transformations, periodic phenomena, non-periodic phenomena, limiting process, applications, how to do it 52:01 periodic phenomena to non-periodic phenomena by means of a limiting process 6 Formal treatment of Fourier Transforms, Fourier transformations, applications, how to do it, mathematics, waves, analysis 47:52 7 Fourier Transforms, inverse of the Fourier transform, applications, how to do it, mathematics, waves, analysis 47:49 specific properties and transforms 8 Fourier Transforms, general properties, two paths, develop specific transforms, different combinations, functions, applications, how to do it, mathematics, waves, analysis 50:37 Fourier transforms with different combinations and functions 9 convolution, signal combinations, Fourier Transforms, convolution, signal combinations, applications, how to do it, mathematics, waves, analysis 54:23 10 Fourier Transforms, operation of convolution, central limit theorem, applications, how to do it, mathematics, waves, analysis 54:58 11 Fourier Transforms, convergence of intervals, applications, how to do it, mathematics, waves, analysis 50:56 12 Rapidly decreasing functions, best Fourier Functions, Fourier Transforms, applications, how to do it, mathematics, waves, analysis 52:56 13 Fourier Transforms, general distributions, applications, how to do it, mathematics, waves, analysis 49:25 14 Fourier Transforms, distributions, applications, how to do it, mathematics, waves, analysis 54:00 15 Fourier Transforms, deltas, properties of deltas, physical interpretation of deltas, applications, how to do it, mathematics, waves, analysis 52:09 16 Fourier Transforms, sampling, interpolation, diffraction, applications, how to do it, mathematics, waves, analysis 49:43 diffraction 17 Fourier Transforms, sampling, interpolation, associated properties, applications, how to do it, mathematics, waves, analysis 41:13 18 Fourier Transforms, sampling, interpolation, associated phenomena, applications, how to do it, mathematics, waves, analysis 51:09 19 Fourier Transforms, aliasing, under sampling, music, applications, how to do it, mathematics, waves, analysis 52:06 20 Discrete Fourier Transforms, applications, how to do it, mathematics, waves, analysis 52:53 21 Discrete Fourier Transforms, applications, how to do it, mathematics, waves, analysis 52:59 22 Fast Fourier Transforms algorithm, applications, how to do it, mathematics, waves, analysis 51:16 23 Fourier Transforms, linear systems, linear time, variance systems, applications, how to do it, mathematics, waves, analysis 51:04 24 Fourier Transforms, linear systems, applications, how to do it, mathematics, waves, analysis 57:05 25 relationship between LTI and the Fourier transforms, Fourier Transforms, applications, how to do it, mathematics, waves, analysis 53:17 LTI systems 26 Final topic, space, higher dimension Fourier Transforms, applications, how to do it, mathematics, space and the higher dimension Fourier Transform 53:56 27 higher dimension Fourier Transforms, applications, how to do it, mathematics, higher dimension Fourier Transform 49:57 28 higher dimensional Fourier Transforms, applications, how to do it, mathematics, higher dimensional Fourier Transforms 49:07 29 general stretch theorem, medical imaging, Fourier Transforms, applications, how to do it, mathematics, general stretch theorem, medical imaging 50:06 30 tomography, inverting the radon transform in medical imaging, Fourier Transforms, applications, how to do it, mathematics 47:09 Total Time of these Lectures = 1:01:38:03

### Watch the entire Lecture series, continuously, all at once

1:01:38:03 Time (days : hours : minutes : seconds)
Individual video clips are listed above to help you find specific topics.

[top]