Hi all!(adsbygoogle = window.adsbygoogle || []).push({});

I wanted to have a little clarification about this line in relation to Fourier Series: (It's about a periodic and symmetrical signal)

"x(t) is a periodic signal. As cos nwt is an even function and sin nwt is an odd function. So, if x(t) is an even function of t, then x(t) cos nwt is also an even function and x(t) sn nwt is an odd function of t.

Similarly, if x(t) is an odd function of t, then x(t) cos nwt is an odd function of t and x(t) sin nwt is an even function of t."

- Linear Signal & Systems, B.P Lathi.

x(t) is both cos and sin functions multiplied right? And isn't it that an when an even function is multiplied with an odd function, we get an odd function? So how can be x(t) even? (as in the above excerpt)

Thanks.

**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!

# Question about Fourier Series (symmetrical signals)

Loading...

Similar Threads for Question Fourier Series | Date |
---|---|

Discrete Fourier Series question | Dec 20, 2014 |

Fourier Series coefficient question | Sep 15, 2012 |

Question about Fourier Series | Dec 3, 2008 |

Fourier series question | Oct 8, 2006 |

Fourier Series / Fourier Transform Question | Apr 21, 2005 |

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