Definition, Meaning & Synonyms
fourier
noun
/ˈfʊəri.eɪ/
![](https://vocabdictionary.com/wp-content/uploads/2024/11/brand_identity-01.png)
Definition
A mathematical transform that converts a function of time (or space) into a function of frequency.
![](https://vocabdictionary.com/wp-content/uploads/2024/11/migrate-02.png)
Examples
- In signal processing, the analysis is often done using the Fourier transform.
- The Fourier series allows us to represent periodic functions as a sum of sine and cosine functions.
![](https://vocabdictionary.com/wp-content/uploads/2024/11/ux-02.png)
Meaning
The Fourier transform is used to analyze the frequency components of signals. It breaks down a complex signal into simpler waves, making it easier to study.
![](https://vocabdictionary.com/wp-content/uploads/2024/11/text-file-font.png)
Synonyms
- transform
- decomposition
- harmonic analysis