![Gabriel Peyré on Twitter: "The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! https://t.co/ZjyiWlvSt9 https://t.co/MslC2MUKZ3" / Twitter Gabriel Peyré on Twitter: "The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! https://t.co/ZjyiWlvSt9 https://t.co/MslC2MUKZ3" / Twitter](https://pbs.twimg.com/media/D_fc5ZQXkAAcigf.jpg)
Gabriel Peyré on Twitter: "The discrete Fourier basis is a sampling of the continuous Fourier basis. They are both orthogonal. This is (almost) magic! https://t.co/ZjyiWlvSt9 https://t.co/MslC2MUKZ3" / Twitter
![CISE315 SaS, L171/16 Lecture 8: Basis Functions & Fourier Series 3. Basis functions: Concept of basis function. Fourier series representation of time functions. - ppt download CISE315 SaS, L171/16 Lecture 8: Basis Functions & Fourier Series 3. Basis functions: Concept of basis function. Fourier series representation of time functions. - ppt download](https://images.slideplayer.com/24/7537549/slides/slide_11.jpg)
CISE315 SaS, L171/16 Lecture 8: Basis Functions & Fourier Series 3. Basis functions: Concept of basis function. Fourier series representation of time functions. - ppt download
![llustrated are four example pairs of sinusoidal Fourier basis functions... | Download Scientific Diagram llustrated are four example pairs of sinusoidal Fourier basis functions... | Download Scientific Diagram](https://www.researchgate.net/publication/286568486/figure/fig2/AS:571456648118278@1513257290904/Illustrated-are-four-example-pairs-of-sinusoidal-Fourier-basis-functions-that-constitute.png)
llustrated are four example pairs of sinusoidal Fourier basis functions... | Download Scientific Diagram
![SOLVED: Setup Consider the Fourier basis of c6 16 Jo = U1o (25 where w e2ni/g Express x = [1 1 10 0 0J" as Iincar = combination of the Fourier basis: SOLVED: Setup Consider the Fourier basis of c6 16 Jo = U1o (25 where w e2ni/g Express x = [1 1 10 0 0J" as Iincar = combination of the Fourier basis:](https://cdn.numerade.com/ask_images/1ce497b8e23f434b85a7277e520e79c9.jpg)
SOLVED: Setup Consider the Fourier basis of c6 16 Jo = U1o (25 where w e2ni/g Express x = [1 1 10 0 0J" as Iincar = combination of the Fourier basis:
![First 5 Fourier basis functions in the order black, red, green, blue... | Download Scientific Diagram First 5 Fourier basis functions in the order black, red, green, blue... | Download Scientific Diagram](https://www.researchgate.net/publication/272845476/figure/fig4/AS:294759651397651@1447287585333/First-5-Fourier-basis-functions-in-the-order-black-red-green-blue-and-light-blue.png)
First 5 Fourier basis functions in the order black, red, green, blue... | Download Scientific Diagram
![linear algebra - How to prove the orthogonality of the Fourier basis from the dot product? - Mathematics Stack Exchange linear algebra - How to prove the orthogonality of the Fourier basis from the dot product? - Mathematics Stack Exchange](https://i.stack.imgur.com/ow61z.png)
linear algebra - How to prove the orthogonality of the Fourier basis from the dot product? - Mathematics Stack Exchange
![Gal Vishne on Twitter: "Discrete Fourier Transform as a change of basis from the standard basis (time domain representation) to the Fourier basis (frequency domain representation) https://t.co/44K4FvrKJA" / Twitter Gal Vishne on Twitter: "Discrete Fourier Transform as a change of basis from the standard basis (time domain representation) to the Fourier basis (frequency domain representation) https://t.co/44K4FvrKJA" / Twitter](https://pbs.twimg.com/media/E0ihtVAXEAEkHOO.jpg:large)