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science physics# What is Fourier series and its applications?

Last Updated: 25th January, 2020

**Fourier**(pronounced foor-YAY)

**series**isaspecific type of infinite mathematical

**series**involvingtrigonometric functions.

**Fourier series**are used inappliedmathematics, and especially in physics and electronics, toexpressperiodic functions such as those that comprisecommunicationssignal waveforms.

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Regarding this, what is the application of Fourier series?

The **Fourier series** has manysuch**applications** in electrical engineering, vibrationanalysis,acoustics, optics, signal processing, image processing,quantummechanics, econometrics, thin-walled shelltheory,etc.

Additionally, who invented Fourier? Surprisingly, this method for derivation of the FThasnot changed since it was first used by the FrenchmathematicianJean Baptiste Joseph **Fourier** (1768–1830)in amanuscript submitted to the Institute of France in 1807 [10]and ina memoir deposited in the institute in 1811[11].

Herein, what is Fourier Transform and its applications?

EE261 - The **Fourier Transform anditsApplications** Topics include: The **Fourier transform** as atoolfor solving physical problems. **Fourier** series,the**Fourier transform** of continuous and discrete signalsand**its** properties. The Dirac delta, distributions,andgeneralized **transforms**.

What are harmonics in Fourier series?

**Harmonics** with respect to **Fourierseries**and **analysis** mean the sine and cosine componentswhichconstitute a function, or to put more simply , thesimplestfunctions that a given function can be brokendowninto.