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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 CafeSquare Wave
Fourier Series of Periodic Signals Formula Equation - RF CafeHalf-wave Rectified Sine Wave
Fourier Series of Periodic Signals Formula Equation - RF CafeFull-wave Rectified Sine Wave
Fourier Series of Periodic Signals Formula Equation - RF Cafe

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RF Cascade Workbook
 RF Cascade Workbook is a very extensive system cascaded component Excel workbook that includes the standard Gain, NF, IP2, IP3, Psat calculations, input & output VSWR, noise BW, min/max tolerance, DC power cauculations, graphing of all RF parameters, and has a graphical block diagram tool. An extensive User's Guide is also included. - Only $35.
RF system analysis including
frequency conversion & filters

Smith Chart™ for Excel
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RF & EE Symbols Word
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