Asked by: Arantzazu Pluymackers
science physics

What is Fourier series and its applications?

Last Updated: 25th January, 2020

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A Fourier (pronounced foor-YAY) series isaspecific type of infinite mathematical seriesinvolvingtrigonometric 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 manysuchapplications 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,theFourier transform of continuous and discrete signalsandits properties. The Dirac delta, distributions,andgeneralized transforms.

What are harmonics in Fourier series?

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

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Fourier Series at a Glance
A continuous time signal x(t) is said to be periodicifthere is a positive non-zero value of T for which. As we knowanyperiodic signal can be classified into harmonicallyrelatedsinusoids or complex exponential, provided itsatisfies theDirichlet's Conditions.