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Created page with "Fourier series, square wave <math>f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}</math> <math>f(x)~~~~x~~~2c~~~1~~~L~~~2L</math>"
 
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<math>f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}</math>
<math>f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}</math>


<math>f(x)~~~~x~~~2c~~~1~~~L~~~2L</math>
<math>f(x)~~~~x~~~2c~~~1~~~ 0 ~~~L~~~2L</math>
 
Result:
[[File:SquareWaveCRCduplicate01.png|400px|Attempt to replicate CRC square wave]]

Latest revision as of 14:54, 19 April 2022

Fourier series, square wave

f(x)=cL+2πn=1(1)nnsinnπcLcosnπxL

f(x)x2c10L2L

Result: Attempt to replicate CRC square wave