# StanfordUniversity

## Course | The Fourier Transforms and Its Applications

1. 1

### Lecture 1 | The Fourier Transforms and its Applications

455,585 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood provides an overview of the course, then begins lecturing on Fourier series.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

2. 2

### Lecture 2 | The Fourier Transforms and its Applications

157,932 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood's lecture addresses the question- How can we use such simple functions, sin(t) and cos(t) to model such periodic phenomenon? He takes the students through the first steps in analyzing general periodic phenomenon.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

3. 3

### Lecture 3 | The Fourier Transforms and its Applications

82,124 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues lecturing on the analysis of periodic phenomena and how it is represented.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

4. 4

### Lecture 4 | The Fourier Transforms and its Applications

67,155 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood wraps up the theoretical aspects of the Fourier Series, an application to heat flow.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

5. 5

### Lecture 5 | The Fourier Transforms and its Applications

45,097 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood finishes up on Fourier series, then he talks about the transformation Fourier series compared to the Fourier Transformations and how one gets to the study of periodic phenomena to non periodic phenomena by means of a limiting process.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

6. 6

### Lecture 6 | The Fourier Transforms and its Applications

39,717 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood picks up where he left off last lecture on Fourier Transformations, then he launches into a more formal treatment of Fourier transforms and explains how to proceed.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

7. 7

### Lecture 7 | The Fourier Transforms and its Applications

31,164 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood reintroduces the Fourier Transform and its inverse, then he goes into specific properties and transforms.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

8. 8

### Lecture 8 | The Fourier Transforms and its Applications

26,603 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues lecturing on the general properties of the Fourier Transforms by two paths. First, to develop specific transforms and second, to understand the Fourier transforms with different combinations and functions.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

9. 9

### Lecture 9 | The Fourier Transforms and its Applications

24,167 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on convolution and recaps on Fourier transformations and signal combinations.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

10. 10

### Lecture 10 | The Fourier Transforms and its Applications

24,529 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood introduces the final operation of convolution to the central limit theorem.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

11. 11

### Lecture 11 | The Fourier Transforms and its Applications

19,746 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on confronting the convergence of intervals.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

12. 12

### Lecture 12 | The Fourier Transforms and its Applications

16,136 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood reminds the students that the best class of functions for Fourier Functions are rapidly decreasing functions.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

13. 13

### Lecture 13 | The Fourier Transforms and its Applications

18,534 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). In this lecture, Professor Osgood demonstrates Fourier transforms of a general distribution.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

14. 14

### Lecture 14 | The Fourier Transforms and its Applications

15,376 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues to lecture on distributions.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

15. 15

### Lecture 15 | The Fourier Transforms and its Applications

14,620 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood introduces a new application of the Fourier Transforms that includes deltas, properties of deltas, and physical interpretation of deltas.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

16. 16

### Lecture 16 | The Fourier Transforms and its Applications

13,578 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on diffraction and connects it to his next topic, sampling and interpolation.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

17. 17

### Lecture 17 | The Fourier Transforms and its Applications

12,105 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood begins his lecture on sampling and interpolation and discusses the associated properties.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

18. 18

### Lecture 18 | The Fourier Transforms and its Applications

12,338 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues the lecture on sampling and interpolation while discussing some of the phenomenon associated with it.

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.
Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

19. 19

### Lecture 19 | The Fourier Transforms and its Applications

15,419 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood demonstrates aliasing by showing the class what happens when you under sample music.

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.
Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

20. 20

### Lecture 20 | The Fourier Transforms and its Applications

12,213 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on the Discrete Fourier Transform.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

21. 21

### Lecture 21 | The Fourier Transforms and its Applications

11,182 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on the properties of discrete Fourier transforms.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

22. 22

### Lecture 22 | The Fourier Transforms and its Applications

23,961 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on the basics of the fast Fourier transforms algorithm

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

23. 23

### Lecture 23 | The Fourier Transforms and its Applications

10,164 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on linear systems, focusing on linear time and variance systems.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

24. 24

### Lecture 24 | The Fourier Transforms and its Applications

9,245 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his lecture on linear systems.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

25. 25

### Lecture 25 | The Fourier Transforms and its Applications

9,007 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood lectures on the relationship between LTI and the Fourier transforms.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

26. 26

### Lecture 26 | The Fourier Transforms and its Applications

11,173 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood begins his final topic, space and the higher dimension Fourier Transform.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

27. 27

### Lecture 27 | The Fourier Transforms and its Applications

8,611 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues his discussion on higher dimensions and the outer reaches while helping the students understand higher dimensions Fourier Transforms.

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.
Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

28. 28

### Lecture 28 | The Fourier Transforms and its Applications

8,632 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues to lecture on the higher dimensional Fourier Transforms.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

29. 29

### Lecture 29 | The Fourier Transforms and its Applications

9,732 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood continues to lecture on the general stretch theorem and begins covering medical imaging.

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.

Complete Playlist for the Course:

EE 261 at Stanford University:
http://eeclass.stanford.edu/ee261/

Stanford University:
http://www.stanford.edu

30. 30

### Lecture 30 | The Fourier Transforms and its Applications

14,853 views

Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood's last lecture of the quarter, he finishes lecturing on tomography and inverting the radon transform in medical imaging.

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.

Complete Playlist for the Course: