The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
What is the Fourier Transform?
In this video, we'll look at the fourier transform from a slightly different perspective than normal, and see how it can be used to estimate functions. Learn about the Fourier series here: http://youtu.be/kP02nBNtjrU
From playlist Fourier
The Discrete Fourier Transform
This video provides a basic introduction to the very widely used and important discrete Fourier transform (DFT). The DFT describes discrete-time signals as a weighted sum of complex sinusoid building blocks and is used in applications such as GPS, MP3, JPEG, and WiFi.
From playlist Fourier
What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.
From playlist Mathematical Physics II Uploads
How to apply Fourier transforms to solve differential equations
Free ebook https://bookboon.com/en/partial-differential-equations-ebook How to apply Fourier transforms to solve differential equations. An example is discussed and solved.
From playlist Partial differential equations
Lec 8 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 8: The discrete Fourier series Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Lec 9 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 9: The discrete Fourier transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Computing Derivatives with FFT [Matlab]
This video describes how to compute derivatives with the Fast Fourier Transform (FFT) in Matlab. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Sys
From playlist Data-Driven Science and Engineering
Fourier Series (for PDEs) w/ Fourier Polynomials (Orthogonal Projections in Inner Product Spaces)
Fourier Series (for Partial Differential Equations) are Constructed with Fourier Polynomials, which are Orthogonal Projections in Inner Product Spaces (in this case, the Function Space of Real-Valued Continuous Functions C[-pi,pi] with the inner product of f and g defined to be the integra
From playlist Fourier
Electrical Engineering: Ch 19: Fourier Transform (13 of 45) Find Fourier Transformation: Ex. 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will find find the Fourier transform of a single transient pulse input of amplitude=1 and width=0 to infinity into the frequency domain. Example 4. Next video in this series can be seen at: https://youtu.
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
Lec 9 | MIT 6.450 Principles of Digital Communications I, Fall 2006
Lecture 9: Discrete-time fourier transforms and sampling theorem View the complete course at: http://ocw.mit.edu/6-450F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.450 Principles of Digital Communications, I Fall 2006
18. Roth's theorem I: Fourier analytic proof over finite field
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The finite field model is a nice sandbox for methods and
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Lec 5 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 5: The z-transform Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Lec 17 | MIT RES.6-008 Digital Signal Processing, 1975
Lecture 17: Design of FIR digital filters Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES6-008S11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT RES.6-008 Digital Signal Processing, 1975
Wavelets And Multiresolution Analysis Part 1
Lecture with Ole Christensen. Kapitler: 00:00 - Repetition ; 06:00 - The Key Step (Prop 8.2.6); 29:00 - Construction Of The Wavelet (Thrm 8.2.7); 36:00 - More On The Wavelet (Prop. 8.2.8); 45:00 - Conciderations Concerning Applications;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math
ME565 Lecture 20: Numerical Solutions to PDEs Using FFT
ME565 Lecture 20 Engineering Mathematics at the University of Washington Numerical Solutions to PDEs Using FFT Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L20.pdf Matlab code: * http://faculty.washington.edu/sbrunton/me565/matlab/HeatConvolution.m * http://faculty.wash
From playlist Engineering Mathematics (UW ME564 and ME565)
This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an
From playlist Fourier
Computing Derivatives with FFT [Python]
This video describes how to compute derivatives with the Fast Fourier Transform (FFT) in Python. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Sys
From playlist Data-Driven Science and Engineering