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• dls2016 6y ago
  har har But seriously, do you have a favorite example where the Laplace transform is used to prove a theorem or used in practice to solve a problem? I'm familiar with the undergraduate differential equations examples. But there are plenty of things taught at the undergraduate level which are tractable and helpful to build intuition but either a) aren't important from a research perspective or b) aren't used in practice. The Fourier transform has both.
  • SAI_Peregrinus 6y ago
    All the time in AC circuits. Especially for anything RF-related. It's vastly, vastly easier to work in the (complex) frequency domain. Antenna and filter design are pretty much all done in the s-domain.
    • dls2016 6y ago
      So is s-domain superior to Fourier domain for stability analysis only, or are there other reasons? (I know enough signal processing to be dangerous.)