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Fourier Series of Periodic Functions

In mathematics, a Fourier series decomposes a periodic function or periodic signal into a sum of simple oscillating functions, namely sines and cosines (or complex exponentials). The study of Fourier series is a branch of Fourier analysis. Fourier series were introduced by Joseph Fourier (1768–1830) for the purpose of solving the heat equation in a metal plate. It led to a revolution in mathematics, forcing mathematicians to reexamine the foundations of mathematics and leading to many modern theories such as Lebesgue integration. - Wikipedia

Here are the Fourier Series for a few of the simplest and most common waveforms.

(See general formula for Fourier Series)

 

Fourier Series of Periodic Signals Formula Equation - RF Cafe Triangular Wave
Fourier Series of Periodic Signals Formula Equation - RF Cafe Square Wave
Fourier Series of Periodic Signals Formula Equation - RF Cafe Half-wave Rectified Sine Wave
Fourier Series of Periodic Signals Formula Equation - RF Cafe Full-wave Rectified Sine Wave
Fourier Series of Periodic Signals Formula Equation - RF Cafe
ERZIA (RF amplifiers, wireless, communications) - RF Cafe Rohde & Schwarz FPC1500 Spectrum Analyzer - RF Cafe
QuinStar - RF Cafe Res-Net Microwave - RF Cafe
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Copyright: 1996 - 2018
Webmaster:
    Kirt Blattenberger,
    BSEE - KB3UON

RF Cafe began life in 1996 as "RF Tools" in an AOL screen name web space totaling 2 MB. Its primary purpose was to provide me with ready access to commonly needed formulas and reference material while performing my work as an RF system and circuit design engineer. The Internet was still largely an unknown entity at the time and not much was available in the form of WYSIWYG ...

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