Hi All,(adsbygoogle = window.adsbygoogle || []).push({});

in a previous post on the physical meaning of Laplace's Transform I found the following statement

" The fundamental Laplace transform pair is H(t), the Heaviside step function, and 1/s, its spectrum of damped sinusoids. Note that the spectrum is weighted towards low frequencies (1/abs(s) goes to zero as abs(s) goes to infinity), as one would expect for an excitation that begins but is never turned off".

I am struggling to understand where the spectrum of damped sinusoids comes from, I found this interesting.

Can anybody maybe help?

Thanks a lot

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

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

# Laplace Transform

Loading...

Similar Threads - Laplace Transform | Date |
---|---|

A Inverse Laplace transform of F(s)=exp(-as) as delta(t-a) | Feb 17, 2017 |

A Inverse Laplace transform of a piecewise defined function | Feb 17, 2017 |

I Laplace transformation of nested function | Nov 5, 2016 |

I Laplace transform using differential equations | Jun 20, 2016 |

Second shifting theorem of Laplace transform | Aug 14, 2015 |

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