Function Decomposition into a Fourier Series

In this section of our online calculator, you are offered solutions to tasks such as function decomposition into a Fourier series.

If you decompose a function into a Fourier series on your own, it will undoubtedly take a lot of your time, but with our online calculator, you can do it in just a few clicks. Moreover, you will not only get the ready solution but also its examples and series.

Almost any function with a period value T (f(t)) can imply a sum of cosines and sines of arguments nwt (of a Fourier series), where the value n- is a positive integer, t- time, and w – is equated to 2pi/T angular frequency. Each component of the Fourier series is commonly referred to as a harmonic. It is important to understand that any even function can be decomposed into Fourier series consisting of sines and cosines. Whereas an odd function can only be decomposed into series of sines.


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Or alternate signs, starting with plus, with minus
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