Fourier Series

Definition & Meaning

Last updated 22 month ago

What is a Fourier Series?

A Fourier series is a illustration of a wave shape or different periodic Function as a sum of sines and cosines. It is named after the French mathematician and physicist Jean-Baptiste Joseph Fourier (1768–1830). Since sound waves are made of sine waves, Fourier Transforms are extensively utilized in Signal processing.

What Does Fourier Series Mean?

A Fourier Collection is a way to represent complex waves, along with sound, as a chain of easy sine waves. The collection breaks down a wave into a sum of sines and cosines. This manner that elements of a wave can be isolated from every other. The area of Fourier evaLuation is the look at of various Fourier series. The exercise of setting apart a signal into person frequencies is called a Fourier rework.

While it's far possible to calculate a Fourier series manually, Computers can more without problems analyze the complex Harmonics of normal sounds. Fourier analysis is widely used in audio processing, which include selecting out person sounds from a Recording.

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