Laplace Transform of a Triangle Wave

Error creating thumbnail: File missing

Triangle wave with period T=2 and amplitude A=2

Introduction

This article explains how to transform a periodic function (in this case a triangle wave). This is especially useful for analyzing circuits which contain triangle wave voltage sources.

Define F(t)

$m1=\frac{2+2}{.5+.5}=4$

$m2=\frac{-2-2}{1.5-.5}=-4$ So,

Failed to parse (syntax error): {\displaystyle F\left( t \right)=\left\{\begin{array}{cc} 4t & -.5\leq t<.5 \\ -4t+4 & .5\leq t<1.5 \end{array}\right }

Author

• Michael Vier