I, in fact, know the correct Fourier representation(adsbygoogle = window.adsbygoogle || []).push({});

for the following (it was given to me):

[tex]f(t)=0 \text { if } -\pi \leq \omega t \leq 0[/tex]

and

[tex]f(t)=sin(\omega t) \text { if } 0 \leq \omega t \leq \pi [/tex]

[tex] \hrule [/tex]

I'm curious about the derivation that led to it -- specifically how the coefficients were derived.

I know, in general...

[tex]A_0=\frac{1}{2\pi} \int_{-\pi}^{\pi}f(x)dx[/tex]

[tex]A_N=\frac{1}{\pi} \int_{-\pi}^{\pi}f(x)cos(nx)dx[/tex]

[tex]B_N=\frac{1}{\pi} \int_{-\pi}^{\pi}f(x)sin(nx)dx[/tex]

... but am stuck when it comes to setting-up the

integrals (substitution rules, how integrals might be broken-up into sub-integrals, intervals, etc.)

Comments?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fourier Representation of Simple Half-Wave Rectifier

Loading...

Similar Threads - Fourier Representation Simple | Date |
---|---|

I Fourier series of Dirac comb, complex VS real approaches | Thursday at 3:38 PM |

Fourier series representation of delta train | Dec 19, 2012 |

Deriving equations from fourier series representations | Oct 14, 2010 |

Fourier series representation | Jul 8, 2010 |

Find a Fourier Series representation | May 5, 2010 |

**Physics Forums - The Fusion of Science and Community**